J. Frenkel and J. Dorfman, Spontaneous and Induced Magnetisation in Ferromagnetic Bodies., Nature, vol.24, issue.3173, p.274, 1930.
DOI : 10.1038/126274a0

F. M. Koehler, M. Rossier, M. Waelle, E. K. Athanassiou, L. K. Limbach et al., Magnetic EDTA: coupling heavy metal chelators to metal nanomagnets for rapid removal of cadmium, lead and copper from contaminated water, Chemical Communications, vol.41, issue.32, p.462, 2009.
DOI : 10.1039/b909447d

I. Rabias, D. Tsitrouli, E. Karakosta, T. Kehagias, G. Diamantopoulos et al., Rapid magnetic heating treatment by highly charged maghemite nanoparticles on Wistar rats exocranial glioma tumors at microliter volume, Biomicrofluidics, vol.4, issue.2, p.2411, 2010.
DOI : 10.1063/1.3449089

K. E. Scarberry, E. B. Dickerson, J. F. Mcdonald, and Z. J. Zhang, Magnetic Nanoparticle???Peptide Conjugates for in Vitro and in Vivo Targeting and Extraction of Cancer Cells, Journal of the American Chemical Society, vol.130, issue.31, p.10258, 2008.
DOI : 10.1021/ja801969b

N. and P. Pera, Detection of pathogenic Streptococcus suis bacteria using magnetic glycoparticles, Organic & Biomolecular Chemistry, vol.7, issue.10, p.2425, 2010.
DOI : 10.1039/c000819b

S. P. Gubin, Magnetic Nanoparticles, 2009.
DOI : 10.1002/9783527627561

D. Weller, A. Moser, L. Folks, M. E. Best, L. Wen et al., High K/sub u/ materials approach to 100 Gbits/in/sup 2/, IEEE Transactions on Magnetics, vol.36, issue.1, p.10, 2000.
DOI : 10.1109/20.824418

V. Russier, C. Petit, J. Legrand, and M. P. Pileni, Collective magnetic properties of cobalt nanocrystals self-assembled in a hexagonal network:???Theoretical model supported by experiments, Physical Review B, vol.62, issue.6, p.3910, 2000.
DOI : 10.1103/PhysRevB.62.3910

D. Kechrakos and K. N. Trohidou, Dipolar interaction effects in the magnetic and magnetotransport properties of ordered nanoparticle arrays, J. Nanosci. Nanotech, vol.8, pp.2929-2943, 2008.

H. Kesserwan, G. Manfredi, J. Bigot, and P. , Magnetization reversal in isolated and interacting single-domain nanoparticles, Physical Review B, vol.84, issue.17, p.172407, 2011.
DOI : 10.1103/PhysRevB.84.172407
URL : http://arxiv.org/abs/1211.3007

M. F. Hansen and S. , Models for the dynamics of interacting magnetic nanoparticles, Journal of Magnetism and Magnetic Materials, vol.184, issue.3, p.262, 1998.
DOI : 10.1016/S0304-8853(97)01165-7

J. Garcia-otero, M. Porto, J. Rivas, and A. Bunde, Influence of Dipolar Interaction on Magnetic Properties of Ultrafine Ferromagnetic Particles, Physical Review Letters, vol.84, issue.1, p.167, 2000.
DOI : 10.1103/PhysRevLett.84.167

S. Mørup and E. Tronc, Superparamagnetic relaxation of weakly interacting particles, Physical Review Letters, vol.72, issue.20, p.3278, 1994.
DOI : 10.1103/PhysRevLett.72.3278

J. L. Dormann, L. Bessais, and D. Fiorani, A dynamic study of small interacting particles: superparamagnetic model and spin-glass laws, Journal of Physics C: Solid State Physics, vol.21, issue.10, p.2015, 1988.
DOI : 10.1088/0022-3719/21/10/019

C. J. Bae, S. Angappane, J. Park, Y. Lee, J. Lee et al., Experimental studies of strong dipolar interparticle interaction in monodisperse Fe3O4 nanoparticles, Applied Physics Letters, vol.91, issue.10, p.102502, 2007.
DOI : 10.1063/1.2778758

P. Poddar, T. Telem-shafir, T. Fried, and G. Markovich, Dipolar interactions in two- and three-dimensional magnetic nanoparticle arrays, Physical Review B, vol.66, issue.6, p.60403, 2002.
DOI : 10.1103/PhysRevB.66.060403

R. P. Cowburn and M. E. Welland, Room Temperature Magnetic Quantum Cellular Automata, Science, vol.287, issue.5457, p.1466, 2000.
DOI : 10.1126/science.287.5457.1466

H. Zeng, J. Li, J. P. Liu, Z. L. Wang, and S. H. Sun, Exchange-coupled nanocomposite magnets by nanoparticle self-assembly, Nature, vol.43, issue.6914, p.395, 2002.
DOI : 10.1063/1.1467976

Y. R. Chemla, H. L. Grossman, Y. Poon, R. Mcdermott, R. Stevens et al., Ultrasensitive magnetic biosensor for homogeneous immunoassay, Proc. Natl Acad. Sci. USA, p.14268, 2000.
DOI : 10.1073/pnas.97.26.14268

S. Bedanta, T. Eimüller, W. Kleemann, J. Rhensius, F. Stromberg et al., Overcoming the Dipolar Disorder in Dense CoFe Nanoparticle Ensembles: Superferromagnetism, Physical Review Letters, vol.98, issue.17, p.176601, 2007.
DOI : 10.1103/PhysRevLett.98.176601

S. Wang, F. J. Yue1, D. Wu, F. M. Zhang, W. Zhong et al., Enhanced magnetoresistance in self-assembled monolayer of oleic acid molecules on Fe3O4 nanoparticles, Applied Physics Letters, vol.94, issue.1, p.12507, 2009.
DOI : 10.1063/1.3059571

H. Zeng, C. T. Black, R. L. Sandstrom, P. M. Rice, C. B. Murray et al., ???Magnetotransport of magnetite nanoparticle arrays, Physical Review B, vol.73, issue.2, p.20402, 2006.
DOI : 10.1103/PhysRevB.73.020402

R. P. Tan, J. Carrey, C. Desvaux, J. Grisolia, P. Renaud et al., Transport in Superlattices of Magnetic Nanoparticles: Coulomb Blockade, Hysteresis, and Switching Induced by a Magnetic Field, Physical Review Letters, vol.99, issue.17, p.176805, 2007.
DOI : 10.1103/PhysRevLett.99.176805

J. F. Douglas, Materials science: Membrane magic, Nature, vol.79, issue.7279, p.302, 2010.
DOI : 10.1038/463302a

J. E. Martin, Theory of strong intrinsic mixing of particle suspensions in vortex magnetic fields, Physical Review E, vol.79, issue.1, p.11503, 2006.
DOI : 10.1103/PhysRevE.79.011503

A. Snezhko, I. S. Aranson, and W. Kwok, Surface Wave Assisted Self-Assembly of Multidomain Magnetic Structures, Physical Review Letters, vol.96, issue.7, p.78701, 2006.
DOI : 10.1103/PhysRevLett.96.078701

A. Snezhko, M. Belkin, I. S. Aranson, and W. Kwok, Self-Assembled Magnetic Surface Swimmers, Physical Review Letters, vol.102, issue.11, p.118103, 2009.
DOI : 10.1103/PhysRevLett.102.118103

A. Snezhko, I. S. Aranson, and W. Kwok, Dynamic self-assembly of magnetic particles on the fluid interface: Surface-wave-mediated effective magnetic exchange, Physical Review E, vol.73, issue.4, p.41306, 2006.
DOI : 10.1103/PhysRevE.73.041306

W. F. Brown-jr, THE FUNDAMENTAL THEOREM OF THE THEORY OF FINE FERROMAGNETIC PARTICLES, Annals of the New York Academy of Sciences, vol.17, issue.12 The Fundamen, p.463, 1969.
DOI : 10.1063/1.1728558

O. Popov and M. Mikhov, Temperature and magnetic field dependence of the critical single domain size, physica status solidi (a), vol.57, issue.1, p.289, 1990.
DOI : 10.1002/pssa.2211180132

H. Brooks, Ferromagnetic Anisotropy and the Itinerant Electron Model, Physical Review, vol.58, issue.10, p.909, 1940.
DOI : 10.1103/PhysRev.58.909

A. Sommerfeld and H. Bethe, Elektronentheorie der Metalle, Handbuch der Physik, 1933.

J. H. Van-vleck, Quelques aspects de la théorie du magnétisme. Annales de l'Institut Henri Poincaré, pp.57-190, 1947.

B. D. Cullity and C. D. Graham, Introduction to Magnetic Materials, 2005.
DOI : 10.1002/9780470386323

E. P. Valstyn, J. P. Hanton, and A. H. , Ferromagnetic Resonance of Single-Domain Particles, Physical Review, vol.128, issue.5, p.2078, 1962.
DOI : 10.1103/PhysRev.128.2078

N. Akulov, Zur Atomtheorie des Ferromagnetismus, Zeitschrift f???r Physik, vol.54, issue.7-8, p.582, 1929.
DOI : 10.1007/BF01338489

L. D. Landau, E. M. Lifshitz, and L. P. Pitaevski, Course of theoretical physics 8 : Electrodynamics of continuous media, 1963.

J. M. Coey, Noncollinear Spin Arrangement in Ultrafine Ferrimagnetic Crystallites, Physical Review Letters, vol.27, issue.17, p.1140, 1971.
DOI : 10.1103/PhysRevLett.27.1140

Y. Labaye, O. Crisan, L. Berger, J. M. Greneche, and J. M. Coey, Surface anisotropy in ferromagnetic nanoparticles, Journal of Applied Physics, vol.91, issue.10, p.8715, 2002.
DOI : 10.1063/1.1456419

M. Respaud, J. M. Broto, H. Rakoto, A. R. Fert, L. Thomas et al., Surface effects on the magnetic properties of ultrafine cobalt particles, Physical Review B, vol.57, issue.5, p.2925, 1998.
DOI : 10.1103/PhysRevB.57.2925

F. Bødker, S. Mørup, and S. Linderoth, Surface effects in metallic iron nanoparticles, Physical Review Letters, vol.72, issue.2, p.282, 1994.
DOI : 10.1103/PhysRevLett.72.282

E. Tronc, A. Ezzir, R. Cherkaoui, C. Chanéac, M. Noguès et al., Surface-related properties of ??-Fe2O3 nanoparticles, Journal of Magnetism and Magnetic Materials, vol.221, issue.1-2, p.63, 2000.
DOI : 10.1016/S0304-8853(00)00369-3

J. E. Lima, E. D. Biasi, M. V. Mansilla, M. E. Saleta, F. Effenberg et al., Surface effects in the magnetic properties of crystalline 3 nm ferrite nanoparticles chemically synthesized, Journal of Applied Physics, vol.108, issue.10, p.103919, 2010.
DOI : 10.1063/1.3514585

A. Demortière, P. Panissod, B. P. Pichon, G. Pourroy, D. Guillon et al., Size-dependent properties of magnetic iron oxidenanocrystals, Nanoscale, vol.12, issue.1, p.225, 2011.
DOI : 10.1039/C0NR00521E

N. Shirakawa, J. E. Mcarthur, and J. R. O-'brien, SQUID-based AC magnetometry down to 0.5 K made available on a widely-accessible platform, Journal of Physics: Conference Series, vol.150, issue.1, p.12045, 2009.
DOI : 10.1088/1742-6596/150/1/012045

J. L. Garcia-palacios and F. J. Lazar, Langevin-dynamics study of the dynamical properties of small magnetic particles, Physical Review B, vol.58, issue.22, p.14937, 1998.
DOI : 10.1103/PhysRevB.58.14937

J. L. Dormann, D. Fiorani, and E. Tronc, Magnetic relaxation in fineparticle systems, Adv. Chem. Phys, vol.98, p.283, 1997.

D. Kechrakos and K. N. Trohidou, Magnetic properties of dipolar interacting single-domain particles, Physical Review B, vol.58, issue.18, p.12169, 1998.
DOI : 10.1103/PhysRevB.58.12169

D. Kechrakos and K. N. Trohidou, Magnetic properties of self-assembled interacting nanoparticles, Applied Physics Letters, vol.81, issue.24, pp.4574-4576, 2002.
DOI : 10.1063/1.1528290

W. Figueiredo and W. Schwarzacher, Magnetic properties of interacting nanoparticles in a triangular lattice: Monte Carlo simulations, Physical Review B, vol.77, issue.10, p.104419, 2008.
DOI : 10.1103/PhysRevB.77.104419

S. Fleutot, G. L. Nealon, M. Pauly, B. P. Pichon, C. Leuvrey et al., Spacing-dependent dipolar interactions in dendronized magnetic iron oxide nanoparticle 2D arrays and powders, Nanoscale, vol.77, issue.7, p.1507, 2013.
DOI : 10.1039/c2nr32117c
URL : https://hal.archives-ouvertes.fr/hal-01283877

B. P. Pichon, P. Louet, O. Felix, M. Drillon, S. Begin-colin et al., Magnetotunable Hybrid Films of Stratified Iron Oxide Nanoparticles Assembled by the Layer-by-Layer Technique, Chemistry of Materials, vol.23, issue.16, pp.3668-3675, 2011.
DOI : 10.1021/cm201139s

D. Toulemon, B. P. Pichon, X. Cattoen, M. Wong, and C. Man, 2D assembly of non-interacting magnetic iron oxide nanoparticles via???click??? chemistry, Chemical Communications, vol.91, issue.43, pp.11954-11956, 2011.
DOI : 10.1039/c1nr10729a
URL : https://hal.archives-ouvertes.fr/hal-00638006

M. Knobel, W. C. Nunes, H. Winnischofer, T. C. Rocha, L. M. Socolovsky et al., Effects of magnetic interparticle coupling on the blocking temperature of ferromagnetic nanoparticle arrays, Journal of Non-Crystalline Solids, vol.353, issue.8-10, p.743, 2007.
DOI : 10.1016/j.jnoncrysol.2006.12.037

P. Poddar, M. B. Morales, N. A. Frey, S. A. Morrison, E. E. Carpenter et al., Transverse susceptibility study of the effect of varying dipolar interactions on anisotropy peaks in a three-dimensional assembly of soft ferrite nanoparticles, Journal of Applied Physics, vol.104, issue.6, p.63901, 2008.
DOI : 10.1063/1.2977592

C. Petit, V. Russier, and M. P. , Effect of the Structure of Cobalt Nanocrystal Organization on the Collective Magnetic Properties, The Journal of Physical Chemistry B, vol.107, issue.38, p.10333, 2003.
DOI : 10.1021/jp0301711

C. Djurberg, P. Svedlindh, P. Nordblad, M. F. Hansen, F. Bødker et al., Dynamics of an Interacting Particle System: Evidence of Critical Slowing Down, Physical Review Letters, vol.79, issue.25, p.5154, 1997.
DOI : 10.1103/PhysRevLett.79.5154

I. Nakatani, H. Mamiya, and T. Furubayashi, Blocking and freezing of magnetic moments for iron nitride fine particle systems, Phys. Rev. Lett, vol.80, p.177, 1998.

D. Fiorani, J. L. Dormann, R. Cherkaoui, E. Tronc, F. Lucari et al., Collective magnetic state in nanoparticles systems, Journal of Magnetism and Magnetic Materials, vol.196, issue.197, pp.196-197143, 1999.
DOI : 10.1016/S0304-8853(98)00694-5

S. Bedanta, Supermagnetism, Journal of Physics D: Applied Physics, vol.42, issue.1, p.13001, 2009.
DOI : 10.1088/0022-3727/42/1/013001

P. Politi and M. G. Pini, Dipolar interaction between two-dimensional magnetic particles, Physical Review B, vol.66, issue.21, p.214414, 2002.
DOI : 10.1103/PhysRevB.66.214414

S. Mørup, M. B. Madsen, J. Franck, J. Villadsen, and C. J. Koch, A new interpretation of M??ssbauer spectra of microcrystalline goethite: ???Super-ferromagnetism??? or ???super-spin-glass??? behaviour?, Journal of Magnetism and Magnetic Materials, vol.40, issue.1-2, p.163, 1983.
DOI : 10.1016/0304-8853(83)90024-0

V. F. Puntes, P. Gorostiza, D. M. Aruguete, N. G. Bastus, and A. P. , Collective behaviour in two-dimensional cobalt nanoparticle assemblies observed by magnetic force microscopy, Nature Materials, vol.3, issue.4, p.263, 2003.
DOI : 10.1038/nmat1094

A. Weddemann, I. Ennen, A. Regtmeier, C. Albon, A. Wolff et al., Review and outlook: from single nanoparticles to self-assembled monolayers and granular GMR sensors, Beilstein Journal of Nanotechnology, vol.1, p.75, 2010.
DOI : 10.3762/bjnano.1.10

T. L. Chow, Introduction to electromagnetic theory : a modern perspective, Encyclopaedia Math. Sci, vol.3, 2006.

P. Ewald, Die Berechnung optischer und elektrostatischer Gitterpotentiale, Annalen der Physik, vol.54, issue.3, p.253, 1921.
DOI : 10.1002/andp.19213690304

L. Landau and E. Lifshitz, On the theory of the dispersion of magnetic permeability in ferromagnetic bodies, Phys. Z. Sow, vol.8, p.153, 1935.
DOI : 10.1016/B978-0-08-036364-6.50008-9

R. Wieser, Comparison of Quantum and Classical Relaxation in Spin Dynamics, Physical Review Letters, vol.110, issue.14, p.147201, 2013.
DOI : 10.1103/PhysRevLett.110.147201

M. C. Hickey and J. S. , Origin of Intrinsic Gilbert Damping, Physical Review Letters, vol.102, issue.13, p.137601, 2009.
DOI : 10.1103/PhysRevLett.102.137601

T. Gilbert, Classics in Magnetics A Phenomenological Theory of Damping in Ferromagnetic Materials, IEEE Transactions on Magnetics, vol.40, issue.6, p.3443, 2004.
DOI : 10.1109/TMAG.2004.836740

W. F. Brown, Thermal Fluctuations of a Single???Domain Particle, Journal of Applied Physics, vol.34, issue.4, p.1677, 1963.
DOI : 10.1063/1.1729489

R. Kubo and N. Hashitsume, Brownian Motion of Spins, Progress of Theoretical Physics Supplement, vol.46, p.210, 1970.
DOI : 10.1143/PTPS.46.210

D. A. Garanin, Thermal fluctuations and longitudinal relaxation of single-domain magnetic particles at elevated temperatures, Physical Review B, vol.70, issue.21, p.212409, 2004.
DOI : 10.1103/PhysRevB.70.212409

K. Vahaplar, A. M. Kalashnikova, A. V. Kimel, D. Hinzke, U. Nowak et al., Ultrafast Path for Optical Magnetization Reversal via a Strongly Nonequilibrium State, Physical Review Letters, vol.103, issue.11, p.117201, 2009.
DOI : 10.1103/PhysRevLett.103.117201

U. Atxitia, O. Chubykalo-fesenko, J. Walowski, A. Mann, and M. , Evidence for thermal mechanisms in laser-induced femtosecond spin dynamics, Physical Review B, vol.81, issue.17, p.174401, 2010.
DOI : 10.1103/PhysRevB.81.174401

D. Hinzke and U. Nowak, Domain Wall Motion by the Magnonic Spin Seebeck Effect, Physical Review Letters, vol.107, issue.2, p.27205, 2011.
DOI : 10.1103/PhysRevLett.107.027205

R. F. Evans, D. Hinzke, U. Atxitia, U. Nowak, and R. W. , Stochastic form of the Landau-Lifshitz-Bloch equation, Physical Review B, vol.85, issue.1, p.14433, 2012.
DOI : 10.1103/PhysRevB.85.014433

U. Atxitia, O. Chubykalo-fesenko, R. W. Chantrell, U. Nowak, and A. Rebei, Ultrafast Spin Dynamics: The Effect of Colored Noise, Physical Review Letters, vol.102, issue.5, p.57203, 2009.
DOI : 10.1103/PhysRevLett.102.057203

B. Hillebrands and J. Fassbender, Applied physics: Ultrafast magnetic switching, Nature, vol.418, issue.6897, pp.493-495, 2002.
DOI : 10.1063/1.1470704

C. H. Back, R. Allenspach, W. Weber, S. S. Parkin, D. Weller et al., Minimum Field Strength in Precessional Magnetization Reversal, Science, vol.285, issue.5429, pp.864-867, 1999.
DOI : 10.1126/science.285.5429.864

T. Gerrits, H. A. Van-der-berg, J. Hohlfeld, L. Bär, and T. Rasing, Ultrafast precessional magnetization reversal by picosecond magnetic field pulse shaping, Nature, vol.19, issue.6897, pp.502-512, 2002.
DOI : 10.1063/1.1470704
URL : http://repository.ubn.ru.nl/bitstream/2066/92618/1/92618.pdf

H. W. Schumacher, C. Chappert, P. Crozat, R. C. Sousa, P. P. Freitas et al., Phase Coherent Precessional Magnetization Reversal in Microscopic Spin Valve Elements, Physical Review Letters, vol.90, issue.1, p.17201, 2003.
DOI : 10.1103/PhysRevLett.90.017201
URL : https://hal.archives-ouvertes.fr/hal-00114926

T. Seki, K. Utsumiya, Y. Nozaki, and H. Imamura, Spin wave-assisted reduction in switching field of highly coercive iron-platinum magnets, Nature Communications, vol.425, p.1726, 2013.
DOI : 10.1038/ncomms2737

L. He and W. D. Doyle, A theoretical description of magnetic switching experiments in picosecond field pulses, Journal of Applied Physics, vol.79, issue.8, p.6489, 1996.
DOI : 10.1063/1.361979

B. B. Ya, Analytical treatment of the precessional (ballistic) contribution to the conventional magnetic switching, J. Appl. Phys, vol.110, p.63920, 2011.

S. Zhang and P. M. Levy, Mechanisms of Spin-Polarized Current-Driven Magnetization Switching, Physical Review Letters, vol.88, issue.23, p.236601, 2002.
DOI : 10.1103/PhysRevLett.88.236601

M. D. Stiles, Anatomy of spin-transfer torque, Physical Review B, vol.66, issue.1, p.14407, 2002.
DOI : 10.1103/PhysRevB.66.014407

S. I. Kiselev, J. C. Sankey, I. N. Krivorotov, N. C. Emley, R. J. Schoelkopf et al., Microwave oscillations of a nanomagnet driven by a spin-polarized current, Nature, vol.425, issue.6956, p.380, 2003.
DOI : 10.1038/nature01967

C. Chang and J. Yang, Oscillatory switching under a rapidly varying magnetic field, Physical Review B, vol.54, issue.17, p.11957, 1996.
DOI : 10.1103/PhysRevB.54.11957

J. Miltat, G. Albuquerque, and A. Thiaville, An Introduction to Micromagnetics in the Dynamic Regime, Topics Appl. Phys, vol.83, pp.1-34, 2002.
DOI : 10.1007/3-540-40907-6_1

W. Wernsdorfer, C. Thirion, and D. Mailly, Switching of magnetization by nonlinear resonance studied in single nanoparticles, Nature Mater, vol.2, pp.524-527, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00022925

N. Barros, M. Rassam, H. Jirari, and H. Kachkachi, Optimal switching of a nanomagnet assisted by microwaves, Physical Review B, vol.83, issue.14, p.144418, 2011.
DOI : 10.1103/PhysRevB.83.144418

L. Cai, D. A. Garanin, and E. M. Chudnovsky, Reversal of magnetization of a single-domain magnetic particle by the ac field of time-dependent frequency, Physical Review B, vol.87, issue.2, p.24418, 2013.
DOI : 10.1103/PhysRevB.87.024418

K. Rivkin and J. B. , Magnetization reversal in the anisotropy-dominated regime using time-dependent magnetic fields, Applied Physics Letters, vol.89, issue.25, p.252507, 2006.
DOI : 10.1063/1.2405855

Z. Wang and M. Wu, Chirped-microwave assisted magnetization reversal, Journal of Applied Physics, vol.105, issue.9, p.93903, 2009.
DOI : 10.1063/1.3121075

V. I. Arnold, V. V. Kozlov, and A. I. Neishtadt, Mathematical aspects of classical and celestial mechanics, 2006.
DOI : 10.1007/978-3-642-61237-4

J. Fanjans and L. Friedland, Autoresonant (nonstationary) excitation of pendulums, Plutinos, plasmas, and other nonlinear oscillators, American Journal of Physics, vol.69, issue.10, p.1096, 2001.
DOI : 10.1119/1.1389278

F. Elmer, The pendulum lab : https, 2015.

R. Malhotra, Migrating Planets, Scientific American, vol.281, issue.3, p.56, 1999.
DOI : 10.1038/scientificamerican0999-56

L. Friedland, Migration Timescale Thresholds for Resonant Capture in the Plutino Problem, The Astrophysical Journal, vol.547, issue.1, pp.75-79, 2001.
DOI : 10.1086/318880

B. Meerson and L. Friedland, Strong autoresonance excitation of Rydberg atoms: The Rydberg accelerator, Physical Review A, vol.41, issue.9, pp.5233-5236, 1990.
DOI : 10.1103/PhysRevA.41.5233

W. K. Liu, B. Wu, and J. M. Yuan, Nonlinear Dynamics of Chirped Pulse Excitation and Dissociation of Diatomic Molecules, Physical Review Letters, vol.75, issue.7, pp.1292-1295, 1995.
DOI : 10.1103/PhysRevLett.75.1292

E. Gilson, J. Fajans, and L. Friedland, Autoresonant (nonstationary) excitation of the diocotron mode in non-neutral plasmas, Phys. Rev. Lett, vol.82, p.4444, 1999.

E. Gilson, J. Fajans, and L. Friedland, Autoresonant (nonstationary) excitation of a collective nonlinear mode, Phys. Plasmas, vol.6, p.4497, 1999.

L. Friedland, Control of Kirchhoff vortices by a resonant strain, Physical Review E, vol.59, issue.4, pp.4106-4111, 1999.
DOI : 10.1103/PhysRevE.59.4106

G. Manfredi and P. Hervieux, Autoresonant control of the many-electron dynamics in nonparabolic quantum wells, Applied Physics Letters, vol.91, issue.6, p.61108, 2007.
DOI : 10.1063/1.2761246
URL : https://hal.archives-ouvertes.fr/hal-00212208

P. Hervieux, G. Klughertz, and G. Manfredi, Autoresonant control of the magnetization switching in single-domain nanoparticles, J. Phys. D : Appl. Phys, vol.47, p.345004, 2014.

M. Jamet, W. Wernsdorfer, C. Thirion, D. Mailly, V. Dupuis et al., Magnetic Anisotropy of a Single Cobalt Nanocluster, Physical Review Letters, vol.86, issue.20, p.4676, 2001.
DOI : 10.1103/PhysRevLett.86.4676

W. Ruemelin, Numerical Treatment of Stochastic Differential Equations, SIAM Journal on Numerical Analysis, vol.19, issue.3, pp.604-613, 1982.
DOI : 10.1137/0719041

J. C. Goswami and A. E. , Algorithms for estimating instantaneous frequency, Signal Processing, vol.84, issue.8, pp.1423-1427, 2004.
DOI : 10.1016/j.sigpro.2004.05.016

R. Feynman, F. L. Vernon, and R. W. , Geometrical Representation of the Schr??dinger Equation for Solving Maser Problems, Journal of Applied Physics, vol.28, issue.1, p.49, 1957.
DOI : 10.1063/1.1722572

L. Friedland, Spatial autoresonance: Enhancement of mode conversion due to nonlinear phase locking, Physics of Fluids B: Plasma Physics, vol.4, issue.10, p.3199, 1992.
DOI : 10.1063/1.860426

A. Barak, Y. Lamhot, L. Friedland, and M. Segev, Autoresonant Dynamics of Optical Guided Waves, Physical Review Letters, vol.103, issue.12, p.123901, 2009.
DOI : 10.1103/PhysRevLett.103.123901

L. Friedland, Autoresonance in nonlinear systems, Scholarpedia, vol.4, issue.1, p.5473, 2009.
DOI : 10.4249/scholarpedia.5473

O. Naaman, J. Aumentado, L. Friedland, J. S. Wurtele, and I. Siddiqi, Phase-Locking Transition in a Chirped Superconducting Josephson Resonator, Physical Review Letters, vol.101, issue.11, p.117005, 2008.
DOI : 10.1103/PhysRevLett.101.117005

E. Grosfeld and L. Friedland, Spatial control of a classical electron state in a Rydberg atom by adiabatic synchronization, Physical Review E, vol.65, issue.4, p.46230, 2002.
DOI : 10.1103/PhysRevE.65.046230

I. Barth, L. Friedland, O. Gat, and A. G. Shagalov, Quantum versus classical phase-locking transition in a frequency-chirped nonlinear oscillator, Physical Review A, vol.84, issue.1, p.13837, 2011.
DOI : 10.1103/PhysRevA.84.013837

L. D. Landau and E. M. Lifshitz, Quantum Mechanics (non-relativistic theory), 1977.

J. Fajans, E. Gilson, and L. Friedland, The effect of damping on autoresonant (nonstationary) excitation, Physics of Plasmas, vol.8, issue.2, p.423, 2001.
DOI : 10.1063/1.1338539

I. Barth, L. Friedland, E. Sarid, and A. G. Shagalov, Autoresonant Transition in the Presence of Noise and Self-Fields, Physical Review Letters, vol.103, issue.15, p.155001, 2009.
DOI : 10.1103/PhysRevLett.103.155001

S. I. Denisov and K. N. , Mean-Field Theory of Magnetic Relaxation for 2D Nanoparticle Ensembles, physica status solidi (a), vol.41, issue.2, p.265, 2002.
DOI : 10.1002/1521-396X(200202)189:2<265::AID-PSSA265>3.0.CO;2-G

R. Apéry, Irrationalité de ?(2) et ?(3) Astérisque, 1979.

T. Dunn and A. Kamenev, Swing switching of spin-torque valves, Journal of Applied Physics, vol.112, issue.10, p.103906, 2012.
DOI : 10.1063/1.4765675

C. Petit, A. Taleb, and M. P. Pileni, Cobalt Nanosized Particles Organized in a 2D Superlattice:?? Synthesis, Characterization, and Magnetic Properties, The Journal of Physical Chemistry B, vol.103, issue.11, p.1805, 1999.
DOI : 10.1021/jp982755m

C. Desvaux, C. Amiens, P. Fejes, P. Renaud, M. Respaud et al., Multimillimetre-large superlattices of air-stable iron???cobalt nanoparticles, Nature Materials, vol.58, issue.10, p.750, 2005.
DOI : 10.1021/ic00283a022

E. Bellido, N. Domingo, I. Ojea-jimenez, and D. Ruiz-molina, Structuration and Integration of Magnetic Nanoparticles on Surfaces and Devices, Small, vol.6, issue.276, p.1465, 2012.
DOI : 10.1002/smll.201101456

M. Pauly, B. P. Pichon, P. Panissod, S. Fleutot, P. Rodriguez et al., Size dependent dipolar interactions in iron oxide nanoparticle monolayer and multilayer Langmuir???Blodgett films, Journal of Materials Chemistry, vol.11, issue.13, p.6343, 2012.
DOI : 10.1039/c2jm15797g

R. Malik, S. Lamba, R. K. Kotnala, and S. Annapoorni, Role of anisotropy and interactions in magnetic nanoparticle systems, The European Physical Journal B, vol.82, issue.1, p.75, 2010.
DOI : 10.1140/epjb/e2010-00065-x

J. O. Andersson, C. Djurberg, T. Jonsson, P. Svedlindh, and P. Nordblad, Monte Carlo studies of the dynamics of an interacting monodispersive magnetic-particle system, Physical Review B, vol.56, issue.21, p.13983, 1997.
DOI : 10.1103/PhysRevB.56.13983

D. Brinis, A. Laggoun, D. Ledue, and R. Patte, Effects of dimensionality and spatial distribution on the magnetic relaxation of interacting ferromagnetic nanoclusters: A Monte Carlo study, Journal of Applied Physics, vol.115, issue.17, p.173906, 2014.
DOI : 10.1063/1.4873298

M. Pileni, Self-Assembly of Inorganic Nanocrystals: Fabrication and Collective Intrinsic Properties, Accounts of Chemical Research, vol.40, issue.8, p.685, 2007.
DOI : 10.1021/ar6000582

B. L. Frankamp, A. K. Boal, M. T. Tuominen, and V. M. , Direct Control of the Magnetic Interaction between Iron Oxide Nanoparticles through Dendrimer-Mediated Self-Assembly, Journal of the American Chemical Society, vol.127, issue.27, p.9731, 2005.
DOI : 10.1021/ja051351m

M. Azeggagh and H. Kachkachi, Effects of dipolar interactions on the zero-field-cooled magnetization of a nanoparticle assembly, Physical Review B, vol.75, issue.17, p.174410, 2007.
DOI : 10.1103/PhysRevB.75.174410

M. Pauly, B. P. Pichon, P. Albouy, S. Fleutot, C. Leuvrey et al., Begin-Colin : Monolayer and multilayer assemblies of spherically and cubic-shaped iron oxide nanoparticles, J. Mater. Chem, vol.21, p.616018, 2011.

W. Wernsdorfer, E. B. Orozco, K. Hasselbach, A. Benoit, B. Barbara et al., Experimental Evidence of the N??el-Brown Model of Magnetization Reversal, Physical Review Letters, vol.78, issue.9, p.1791, 1997.
DOI : 10.1103/PhysRevLett.78.1791

N. Metropolis, A. Rosenbluth, M. Rosenbluth, and A. Teller, Equation of State Calculations by Fast Computing Machines, The Journal of Chemical Physics, vol.21, issue.6, pp.1087-1092, 1953.
DOI : 10.1063/1.1699114

W. Baaziz, B. P. Pichon, S. Fleutot, Y. Liu, C. Lefevre et al., Magnetic Iron Oxide Nanoparticles: Reproducible Tuning of the Size and Nanosized-Dependent Composition, Defects, and Spin Canting, The Journal of Physical Chemistry C, vol.118, issue.7, p.3795, 2014.
DOI : 10.1021/jp411481p
URL : https://hal.archives-ouvertes.fr/hal-01283892

A. Elster and J. Burdette, Questions and answers in magnetic resonance imaging, 2001.

R. K. Gilchrist, R. Medal, W. D. Shorey, R. C. Hanselman, J. C. Parrott et al., Selective Inductive Heating of Lymph Nodes, Annals of Surgery, vol.146, issue.4, p.596, 1957.
DOI : 10.1097/00000658-195710000-00007

L. S. Goldstein, M. W. Dewhirst, and M. Repacholi, Summary, conclusions and recommendations: adverse temperature levels in the human body, International Journal of Hyperthermia, vol.19, issue.3, pp.373-384, 2003.
DOI : 10.1080/0265673031000090701

R. Hergt and S. Dutz, Magnetic particle hyperthermia???biophysical limitations of a visionary tumour therapy, Journal of Magnetism and Magnetic Materials, vol.311, issue.1, p.187, 2007.
DOI : 10.1016/j.jmmm.2006.10.1156

L. Horev-azaria, C. J. Kirkpatrick, R. Korenstein, P. N. Marche, O. Maimon et al., Predictive Toxicology of Cobalt Nanoparticles and Ions: Comparative In Vitro Study of Different Cellular Models Using Methods of Knowledge Discovery from Data, Toxicological Sciences, vol.122, issue.2, p.489, 2011.
DOI : 10.1093/toxsci/kfr124

P. Pradhan, G. Jyotsnendu, S. Gopal, D. S. Haladhar, P. M. Kaushala et al., Comparative evaluation of heating ability and biocompatibility of different ferrite-based magnetic fluids for hyperthermia application, Journal of Biomedical Materials Research Part B: Applied Biomaterials, vol.93, issue.1, p.12, 2007.
DOI : 10.1002/jbm.b.30630

C. Haase and U. Nowak, Role of dipole-dipole interactions for hyperthermia heating of magnetic nanoparticle ensembles, Physical Review B, vol.85, issue.4, p.45435, 2012.
DOI : 10.1103/PhysRevB.85.045435

C. Haase and U. Nowak, Influence of dipolar interactions on hyperthermia properties of ferromagnetic particles, J. Appl. Phys, vol.108, p.73918, 2010.

F. Burrows, C. Parker, R. F. Evans, Y. Hancock, O. Hovorka et al., Energy losses in interacting fine-particle magnetic composites, Journal of Physics D: Applied Physics, vol.43, issue.47, p.474010, 2010.
DOI : 10.1088/0022-3727/43/47/474010
URL : https://hal.archives-ouvertes.fr/hal-00570718

B. P. Timko, T. Dvir, and D. S. Kohane, Remotely Triggerable Drug Delivery Systems, Advanced Materials, vol.32, issue.44, p.4925, 2010.
DOI : 10.1002/adma.201002072

N. Wang, J. P. Butler, and D. E. , Mechanotransduction across the cell surface and through the cytoskeleton, Science, vol.260, issue.5111, p.1124, 1993.
DOI : 10.1126/science.7684161

B. Fabry, G. N. Maksym, R. D. Hubmayr, J. P. Butler, and J. J. , Implications of heterogeneous bead behavior on cell mechanical properties measured with magnetic twisting cytometry, Journal of Magnetism and Magnetic Materials, vol.194, issue.1-3, p.120, 1999.
DOI : 10.1016/S0304-8853(98)00564-2

A. R. Bausch and W. Müller, Measurement of Local Viscoelasticity and Forces in Living Cells by Magnetic Tweezers, Biophysical Journal, vol.76, issue.1, p.573, 1999.
DOI : 10.1016/S0006-3495(99)77225-5

J. E. Martin, E. Venturini, J. Odinek, and R. A. Anderson, Anisotropic magnetism in field-structured composites, Physical Review E, vol.61, issue.3, p.612818, 2000.
DOI : 10.1103/PhysRevE.61.2818
URL : https://digital.library.unt.edu/ark:/67531/metadc779548/m2/1/high_res_d/8393.pdf

J. E. Martin, E. Venturini, G. L. Gulley, and J. Williamson, Using triaxial magnetic fields to create high susceptibility particle composites, Physical Review E, vol.69, issue.2, p.21508, 2004.
DOI : 10.1103/PhysRevE.69.021508

J. E. Martin, R. A. Anderson, and C. P. , Simulation of the athermal coarsening of composites structured by a biaxial field, The Journal of Chemical Physics, vol.108, issue.18, p.7887, 1998.
DOI : 10.1063/1.476226

J. E. Martin, R. A. Anderson, and C. P. , Thermal coarsening of uniaxial and biaxial field-structured composites, The Journal of Chemical Physics, vol.110, issue.10, p.4854, 1999.
DOI : 10.1063/1.478389

S. Jaeger and S. H. , Pattern formation of dipolar colloids in rotating fields: layering and synchronization, Soft Matter, vol.110, issue.14, p.6606, 2011.
DOI : 10.1039/c1sm05343d

S. Jaeger, H. Schmidle, and S. H. , Nonequilibrium condensation and coarsening of field-driven dipolar colloids, Physical Review E, vol.86, issue.1, p.11402, 2012.
DOI : 10.1103/PhysRevE.86.011402

J. E. Martin, R. A. Anderson, and R. L. Williamson, Generating strange magnetic and dielectric interactions: Classical molecules and particle foams, The Journal of Chemical Physics, vol.118, issue.3, p.1557, 2003.
DOI : 10.1063/1.1528892

J. E. Martin, Using triaxial magnetic fields to create optimal particle composites, Composites Part A: Applied Science and Manufacturing, vol.36, issue.4, p.545, 2005.
DOI : 10.1016/j.compositesa.2004.10.020

I. Lisiecki, V. Halté, C. Petit, M. Pileni, and J. , Bigot : Vibration dynamics of supra-crystals of cobalt nanocrystals studied with femtosecond laser pulses, Adv. Mater, vol.20, pp.4176-4179, 2008.

. Pileni, Coherent longitudinal acoustic phonons in three-dimensional supracrystals of cobalt nanocrystals, Nano Lett, vol.13, p.4914, 2013.

I. Lisiecki, D. Parker, C. Salzemann, and M. Pileni, Face-Centered Cubic Supra-Crystals and Disordered Three-Dimensional Assemblies of 7.5 nm Cobalt Nanocrystals:?? Influence of the Mesoscopic Ordering on the Magnetic Properties, Chemistry of Materials, vol.19, issue.16, pp.4030-4036, 2007.
DOI : 10.1021/cm070625x

D. Polli, I. Lisiecki, H. Portalès, G. Cerullo, and M. , Low Sensitivity of Acoustic Breathing Mode Frequency in Co Nanocrystals upon Change in Nanocrystallinity, ACS Nano, vol.5, issue.7, p.5785, 2011.
DOI : 10.1021/nn201468h

A. V. Scherbakov, A. S. Salasyuk, A. V. Akimov, X. Liu, M. Bombeck et al., Coherent Magnetization Precession in Ferromagnetic (Ga,Mn)As Induced by Picosecond Acoustic Pulses, Physical Review Letters, vol.105, issue.11, p.117204, 2010.
DOI : 10.1103/PhysRevLett.105.117204

J. Kim, M. Vomir, and J. , Ultrafast Magnetoacoustics in Nickel Films, Physical Review Letters, vol.109, issue.16, p.166601, 2012.
DOI : 10.1103/PhysRevLett.109.166601
URL : http://arxiv.org/abs/1201.0170

A. Hucht, S. Buschmann, and P. Entel, Molecular dynamics simulations of the dipolar-induced formation of magnetic nanochains and nanorings, Europhysics Letters (EPL), vol.77, issue.5, p.57003, 2007.
DOI : 10.1209/0295-5075/77/57003

L. Verlet, Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules, Physical Review, vol.159, issue.1, p.98, 1967.
DOI : 10.1103/PhysRev.159.98

M. G. Paterlini and D. M. Ferguson, Constant temperature simulations using the Langevin equation with velocity Verlet integration, Chemical Physics, vol.236, issue.1-3, pp.243-252, 1998.
DOI : 10.1016/S0301-0104(98)00214-6

P. De-gennes and P. A. , Pincus : Pair correlations in a ferromagnetic colloid, Phys. Kondens. Mater, vol.11, p.189, 1970.

S. Jin, T. H. Tiefel, R. Wolfe, R. C. Sherwood, and J. J. Mottine-jr, Optically Transparent, Electrically Conductive Composite Medium, Science, vol.255, issue.5043, p.446, 1992.
DOI : 10.1126/science.255.5043.446

J. Liu, E. M. Lawrence, A. Wu, M. L. Ivey, G. A. Flores et al., Field-Induced Structures in Ferrofluid Emulsions, Physical Review Letters, vol.74, issue.14, p.2828, 1995.
DOI : 10.1103/PhysRevLett.74.2828

G. Helgesen, A. T. Skjeltorp, P. M. Mors, R. Botet, and R. Jullien, Aggregation of Magnetic Microspheres: Experiments and Simulations, Physical Review Letters, vol.61, issue.15, p.1736, 1988.
DOI : 10.1103/PhysRevLett.61.1736

R. Pastor-satorras and J. M. Rubi, Particle-cluster aggregation with dipolar interactions, Physical Review E, vol.51, issue.6, p.5994, 1995.
DOI : 10.1103/PhysRevE.51.5994

W. Wen, F. Kun, K. F. Pál, D. W. Zheng, and K. N. Tu, Aggregation kinetics and stability of structures formed by magnetic microspheres, Physical Review E, vol.59, issue.5, p.4758, 1999.
DOI : 10.1103/PhysRevE.59.R4758

I. Jacobs and C. Bean, An Approach to Elongated Fine-Particle Magnets, Physical Review, vol.100, issue.4, p.1061, 1955.
DOI : 10.1103/PhysRev.100.1060

P. Jund, S. G. Kim, D. Tománek, and J. Hetherington, Stability and Fragmentation of Complex Structures in Ferrofluids, Physical Review Letters, vol.74, issue.15, p.3049, 1955.
DOI : 10.1103/PhysRevLett.74.3049

D. V. Berkov and N. L. Gorn, Susceptibility of the disordered system of fine magnetic particles: a Langevin-dynamics study, Journal of Physics: Condensed Matter, vol.13, issue.41, p.9369, 2001.
DOI : 10.1088/0953-8984/13/41/322

S. W. Deleeuw, D. Solvaeson, M. A. Ratner, and J. Michl, Molecular Dipole Chains:?? Excitations and Dissipation, The Journal of Physical Chemistry B, vol.102, issue.20, p.3876, 1998.
DOI : 10.1021/jp972089+

T. Panczyk, L. Konczak, S. Zapotoczny, P. Szabelski, and M. Nowakowska, Molecular dynamics simulations of proton transverse relaxation times in suspensions of magnetic nanoparticles, Journal of Colloid and Interface Science, vol.437, p.187, 2015.
DOI : 10.1016/j.jcis.2014.08.066

P. E. Kloeden, Platen : Numerical solution of stochastic differential equations, 1995.

G. Benettin and A. Giorgilli, On the Hamiltonian interpolation of near-to-the identity symplectic mappings with application to symplectic integration algorithms, Journal of Statistical Physics, vol.73, issue.5-6, pp.1117-1143, 1994.
DOI : 10.1007/BF02188219

Y. Tang, Formal energy of a symplectic scheme for hamiltonian systems and its applications, Computers Math. Applic, vol.27, pp.31-39, 1994.