K. G. Wilson, The renormalization group: Critical phenomena and the Kondo problem, Reviews of Modern Physics, vol.47, issue.4, p.773, 1975.
DOI : 10.1103/RevModPhys.47.773

D. P. Landau and K. Binder, A guide to Monte Carlo simulations in statistical physics, 2005.

W. Krauth, Statistical mechanics: algorithms and computations, 2006.

E. P. Bernard, W. Krauth, and D. B. Wilson, Event-chain Monte Carlo algorithms for hard-sphere systems, Physical Review E, vol.80, issue.5, p.56704, 2009.
DOI : 10.1103/PhysRevE.80.056704

URL : http://arxiv.org/abs/0903.2954

E. P. Bernard and W. Krauth, ArXiv e-prints, 2011.

E. P. Bernard, C. Chanal, and W. Krauth, Damage spreading and coupling in Markov chains, EPL (Europhysics Letters), vol.92, issue.6, p.60004, 2010.
DOI : 10.1209/0295-5075/92/60004

B. J. Alder and T. E. Wainwright, Phase Transition in Elastic Disks, Physical Review, vol.127, issue.2, p.359, 1962.
DOI : 10.1103/PhysRev.127.359

B. J. Alder and T. E. Wainwright, Decay of the Velocity Autocorrelation Function, Physical Review A, vol.1, issue.1, p.18, 1970.
DOI : 10.1103/PhysRevA.1.18

J. M. Kosterlitz and D. J. Thouless, Long range order and metastability in two dimensional solids and superfluids. (Application of dislocation theory), Journal of Physics C: Solid State Physics, vol.5, issue.11, p.124, 1972.
DOI : 10.1088/0022-3719/5/11/002

J. M. Kosterlitz and D. J. Thouless, Ordering, metastability and phase transitions in two-dimensional systems, Journal of Physics C: Solid State Physics, vol.6, issue.7, p.1181, 1973.
DOI : 10.1088/0022-3719/6/7/010

J. Kosterlitz and D. Thouless, Two-dimensional physics (North-Holland, 1978.

J. Morán-lópez, Physics of low dimensional systems, 2001.
DOI : 10.1007/b114803

K. J. Strandburg, Two-dimensional melting, Reviews of Modern Physics, vol.60, issue.1, p.161, 1988.
DOI : 10.1103/RevModPhys.60.161

T. Ando, A. B. Fowler, and F. Stern, Electronic properties of two-dimensional systems, Reviews of Modern Physics, vol.54, issue.2, p.437, 1982.
DOI : 10.1103/RevModPhys.54.437

E. Abrahams, S. V. Kravchenko, and M. P. Sarachik, Metallic behavior and related phenomena in two dimensions, Reviews of Modern Physics, vol.73, issue.2, p.251, 2001.
DOI : 10.1103/RevModPhys.73.251

Z. Hadzibabic and J. Dalibard, ArXiv e-prints, 2009.

D. Bensimon, L. P. Kadanoff, S. Liang, B. I. Shraiman, and C. Tang, Viscous flows in two dimensions, Reviews of Modern Physics, vol.58, issue.4, p.977, 1986.
DOI : 10.1103/RevModPhys.58.977

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.693.3235

E. Peierls, Helvetica Physica Acta Suppl, p.81, 1934.

A. Jaster, Computer simulations of the two-dimensional melting transition using hard disks, Physical Review E, vol.59, issue.3, p.2594, 1999.
DOI : 10.1103/PhysRevE.59.2594

C. H. Mak, Large-scale simulations of the two-dimensional melting of hard disks, Physical Review E, vol.73, issue.6, p.65104, 2006.
DOI : 10.1103/PhysRevE.73.065104

L. D. Landau and E. M. Lifshitz, Elasticity theory, 1975.

N. D. Mermin and H. Wagner, Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models, Physical Review Letters, vol.17, issue.22, p.1133, 1966.
DOI : 10.1103/PhysRevLett.17.1133

C. C. Grimes and G. Adams, Evidence for a Liquid-to-Crystal Phase Transition in a Classical, Two-Dimensional Sheet of Electrons, Physical Review Letters, vol.42, issue.12, p.795, 1979.
DOI : 10.1103/PhysRevLett.42.795

C. A. Murray and D. H. Van-winkle, Experimental observation of two-stage melting in a classical two-dimensional screened Coulomb system, Physical Review Letters, vol.58, issue.12, p.1200, 1987.
DOI : 10.1103/PhysRevLett.58.1200

B. I. Halperin and D. R. Nelson, Theory of Two-Dimensional Melting, Physical Review Letters, vol.41, issue.2, p.121, 1978.
DOI : 10.1103/PhysRevLett.41.121

Y. Imry and L. Gunther, Fluctuations and Physical Properties of the Two-Dimensional Crystal Lattice, Physical Review B, vol.3, issue.11, p.3939, 1971.
DOI : 10.1103/PhysRevB.3.3939

B. Gavish and Y. Imry, Static and dynamic structure factors for interdimensional systems. II. Layered crystals, The Journal of Chemical Physics, vol.65, issue.1, p.139, 1976.
DOI : 10.1063/1.432810

J. Cardy, Scaling and renormalization in statistical physics, 1996.
DOI : 10.1063/1.882010

K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, Y. Zhang et al., Electric Field Effect in Atomically Thin Carbon Films, Science, vol.306, issue.5696, p.666, 2004.
DOI : 10.1126/science.1102896

URL : http://arxiv.org/abs/cond-mat/0410550

D. R. Nelson and L. Peliti, Fluctuations in membranes with crystalline and hexatic order, Journal de Physique, vol.48, issue.7, p.1085, 1987.
DOI : 10.1051/jphys:019870048070108500

URL : https://hal.archives-ouvertes.fr/jpa-00210530

H. S. Seung and D. R. Nelson, Defects in flexible membranes with crystalline order, Physical Review A, vol.38, issue.2, p.1005, 1988.
DOI : 10.1103/PhysRevA.38.1005

D. R. Nelson, ArXiv e-prints, p.9502114, 1995.

J. C. Meyer, A. K. Geim, M. I. Katsnelson, K. S. Novoselov, T. J. Booth et al., The structure of suspended graphene sheets, Nature, vol.24, issue.7131, p.60, 2007.
DOI : 10.1038/nature05545

E. Cadelano, P. L. Palla, S. Giordano, and L. Colombo, Nonlinear Elasticity of Monolayer Graphene, Physical Review Letters, vol.102, issue.23, p.235502, 2009.
DOI : 10.1103/PhysRevLett.102.235502

C. Lee, X. Wei, J. W. Kysar, and J. Hone, Measurement of the Elastic Properties and Intrinsic Strength of Monolayer Graphene, Science, vol.321, issue.5887, p.385, 2008.
DOI : 10.1126/science.1157996

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

B. J. Alder and T. E. Wainwright, Phase Transition for a Hard Sphere System, The Journal of Chemical Physics, vol.27, issue.5, p.1208, 1957.
DOI : 10.1063/1.1743957

J. P. Hansen and I. R. Mcdonald, Theory of simple liquids, 2006.

W. G. Hoover and F. H. Ree, Melting Transition and Communal Entropy for Hard Spheres, The Journal of Chemical Physics, vol.49, issue.8, p.3609, 1968.
DOI : 10.1063/1.1670641

S. Asakura and F. Oosawa, On Interaction between Two Bodies Immersed in a Solution of Macromolecules, The Journal of Chemical Physics, vol.22, issue.7, p.1255, 1954.
DOI : 10.1063/1.1740347

R. Gupta, J. Delapp, G. G. Batrouni, G. C. Fox, C. F. Baillie et al., Model, Physical Review Letters, vol.61, issue.17, p.1996, 1988.
DOI : 10.1103/PhysRevLett.61.1996

URL : https://hal.archives-ouvertes.fr/hal-01386552

R. H. Swendsen and J. Wang, Nonuniversal critical dynamics in Monte Carlo simulations, Physical Review Letters, vol.58, issue.2, p.86, 1987.
DOI : 10.1103/PhysRevLett.58.86

U. Wolff, Collective Monte Carlo Updating for Spin Systems, Physical Review Letters, vol.62, issue.4, p.361, 1989.
DOI : 10.1103/PhysRevLett.62.361

D. J. Bishop and J. D. Reppy, Films, Physical Review Letters, vol.40, issue.26, p.1727, 1978.
DOI : 10.1103/PhysRevLett.40.1727

D. R. Nelson and J. M. Kosterlitz, Universal Jump in the Superfluid Density of Two-Dimensional Superfluids, Physical Review Letters, vol.39, issue.19, p.1201, 1977.
DOI : 10.1103/PhysRevLett.39.1201

Y. Han, N. Y. Ha, A. M. Alsayed, and A. G. Yodh, Melting of two-dimensional tunable-diameter colloidal crystals, Physical Review E, vol.77, issue.4, p.41406, 2008.
DOI : 10.1103/PhysRevE.77.041406

M. Hasenbusch, model at the transition temperature: a high-precision Monte Carlo study, Journal of Physics A: Mathematical and General, vol.38, issue.26, p.5869, 2005.
DOI : 10.1088/0305-4470/38/26/003

M. Hasenbusch and K. Pinn, Computing the roughening transition of Ising and solid-on-solid models by BCSOS model matching, Journal of Physics A: Mathematical and General, vol.30, issue.1, p.63, 1997.
DOI : 10.1088/0305-4470/30/1/006

E. Domany, M. Schick, and R. H. Swendsen, Model with Nearest-Neighbor Interactions, Physical Review Letters, vol.52, issue.17, p.1535, 1984.
DOI : 10.1103/PhysRevLett.52.1535

B. Nienhuis, A. N. Berker, E. K. Riedel, and M. Schick, First- and Second-Order Phase Transitions in Potts Models: Renormalization-Group Solution, Physical Review Letters, vol.43, issue.11, p.737, 1979.
DOI : 10.1103/PhysRevLett.43.737

H. W. Blöte, W. Guo, and H. J. Hilhorst, Phase Transition in a Two-Dimensional Heisenberg Model, Physical Review Letters, vol.88, issue.4, p.47203, 2002.
DOI : 10.1103/PhysRevLett.88.047203

J. E. Mayer and W. W. Wood, Interfacial Tension Effects in Finite, Periodic, Two???Dimensional Systems, The Journal of Chemical Physics, vol.42, issue.12, p.4268, 1965.
DOI : 10.1063/1.1695931

D. R. Nelson and B. I. Halperin, Dislocation-mediated melting in two dimensions, Physical Review B, vol.19, issue.5, p.2457, 1979.
DOI : 10.1103/PhysRevB.19.2457

A. P. Young, Melting and the vector Coulomb gas in two dimensions, Physical Review B, vol.19, issue.4, p.1855, 1979.
DOI : 10.1103/PhysRevB.19.1855

D. S. Fisher, B. I. Halperin, and R. Morf, Defects in the two-dimensional electron solid and implications for melting, Physical Review B, vol.20, issue.11, p.4692, 1979.
DOI : 10.1103/PhysRevB.20.4692

S. T. Chui, Grain-boundary theory of melting in two dimensions, Physical Review B, vol.28, issue.1, p.178, 1983.
DOI : 10.1103/PhysRevB.28.178

H. Kleinert, Disclinations and first order transitions in 2D melting, Physics Letters A, vol.95, issue.7, p.381, 1983.
DOI : 10.1016/0375-9601(83)90413-9

T. V. Ramakrishnan, Density-Wave Theory of First-Order Freezing in Two Dimensions, Physical Review Letters, vol.48, issue.8, p.541, 1982.
DOI : 10.1103/PhysRevLett.48.541

D. R. Squire, A. C. Holt, and W. G. Hoover, Isothermal elastic constants for argon. theory and Monte Carlo calculations, Physica, vol.42, issue.3, p.388, 1969.
DOI : 10.1016/0031-8914(69)90031-7

M. A. Bates and D. Frenkel, Influence of vacancies on the melting transition of hard disks in two dimensions, Physical Review E, vol.61, issue.5, p.5223, 2000.
DOI : 10.1103/PhysRevE.61.5223

O. Farago and Y. Kantor, Fluctuation formalism for elastic constants in hard-spheres-and-tethers systems, Physical Review E, vol.61, issue.3, p.2478, 2000.
DOI : 10.1103/PhysRevE.61.2478

K. Bagchi, H. C. Andersen, and W. Swope, Computer Simulation Study of the Melting Transition in Two Dimensions, Physical Review Letters, vol.76, issue.2, p.255, 1996.
DOI : 10.1103/PhysRevLett.76.255

K. Zahn, R. Lenke, and G. Maret, Two-Stage Melting of Paramagnetic Colloidal Crystals in Two Dimensions, Physical Review Letters, vol.82, issue.13, p.2721, 1999.
DOI : 10.1103/PhysRevLett.82.2721

G. Aeppli and R. Bruinsma, Hexatic Order and Liquid Density Fluctuations, Physical Review Letters, vol.53, issue.22, p.2133, 1984.
DOI : 10.1103/PhysRevLett.53.2133

R. J. Birgeneau and P. M. Horn, Two-Dimensional Rare Gas Solids, Science, vol.232, issue.4748, p.329, 1986.
DOI : 10.1126/science.232.4748.329

R. Pindak, D. E. Moncton, S. C. Davey, and J. W. Goodby, Phase, Physical Review Letters, vol.46, issue.17, p.1135, 1981.
DOI : 10.1103/PhysRevLett.46.1135

URL : https://hal.archives-ouvertes.fr/hal-00215928

S. C. Davey, J. Budai, J. W. Goodby, R. Pindak, and D. E. Moncton, Phase Transition in Liquid-Crystal Films, Physical Review Letters, vol.53, issue.22, p.2129, 1984.
DOI : 10.1103/PhysRevLett.53.2129

Y. Peng, Z. Wang, A. M. Alsayed, A. G. Yodh, and Y. Han, Melting of Colloidal Crystal Films, Physical Review Letters, vol.104, issue.20, p.205703, 2010.
DOI : 10.1103/PhysRevLett.104.205703

J. Q. Broughton, G. H. Gilmer, and J. D. Weeks, Molecular-dynamics study of melting in two dimensions. Inverse-twelfth-power interaction, Physical Review B, vol.25, issue.7, p.4651, 1982.
DOI : 10.1103/PhysRevB.25.4651

S. Prestipino, F. Saija, and P. V. Giaquinta, Hexatic Phase in the Two-Dimensional Gaussian-Core Model, Physical Review Letters, vol.106, issue.23, p.235701, 2011.
DOI : 10.1103/PhysRevLett.106.235701

S. Toxvaerd, Phase Transitions in a Two-Dimensional System, Physical Review Letters, vol.44, issue.15, p.1002, 1980.
DOI : 10.1103/PhysRevLett.44.1002

K. Chen, T. Kaplan, and M. Mostoller, Melting in Two-Dimensional Lennard-Jones Systems: Observation of a Metastable Hexatic Phase, Physical Review Letters, vol.74, issue.20, p.4019, 1995.
DOI : 10.1103/PhysRevLett.74.4019

S. Muto and H. Aoki, Crystallization of a classical two-dimensional electron system: Positional and orientational orders, Physical Review B, vol.59, issue.23, p.14911, 1999.
DOI : 10.1103/PhysRevB.59.14911

B. K. Clark, M. Casula, and D. M. Ceperley, Hexatic and Mesoscopic Phases in a 2D Quantum Coulomb System, Physical Review Letters, vol.103, issue.5, p.55701, 2009.
DOI : 10.1103/PhysRevLett.103.055701

J. Lee and K. J. Strandburg, First-order melting transition of the hard-disk system, Physical Review B, vol.46, issue.17, p.11190, 1992.
DOI : 10.1103/PhysRevB.46.11190

J. A. Zollweg and G. V. Chester, Melting in two dimensions, Physical Review B, vol.46, issue.17, p.11186, 1992.
DOI : 10.1103/PhysRevB.46.11186

H. Weber, D. Marx, and K. Binder, Melting transition in two dimensions: A finite-size scaling analysis of bond-orientational order in hard disks, Physical Review B, vol.51, issue.20, p.14636, 1995.
DOI : 10.1103/PhysRevB.51.14636

G. A. Chapela, L. E. Scriven, and H. T. Davis, Molecular dynamics for discontinuous potential. IV. Lennard???Jonesium, The Journal of Chemical Physics, vol.91, issue.7, p.4307, 1989.
DOI : 10.1063/1.456811

M. Marín, D. Risso, and P. Cordero, Efficient Algorithms for Many-Body Hard Particle Molecular Dynamics, Journal of Computational Physics, vol.109, issue.2, p.306, 1993.
DOI : 10.1006/jcph.1993.1219

G. Paul, A Complexity O(1) priority queue for event driven molecular dynamics simulations, Journal of Computational Physics, vol.221, issue.2, p.615, 2007.
DOI : 10.1016/j.jcp.2006.06.042

M. Isobe, SIMPLE AND EFFICIENT ALGORITHM FOR LARGE SCALE MOLECULAR DYNAMICS SIMULATION IN HARD DISK SYSTEM, International Journal of Modern Physics C, vol.10, issue.07, p.1281, 1999.
DOI : 10.1142/S0129183199001042

M. N. Bannerman, R. Sargant, and L. Lue, ArXiv e-prints, 2010.

S. Miller and S. Luding, Event-driven molecular dynamics in parallel, Journal of Computational Physics, vol.193, issue.1, p.306, 2004.
DOI : 10.1016/j.jcp.2003.08.009

H. C. Fernandes and M. Weigel, Non-reversible Monte Carlo simulations of spin models, Computer Physics Communications, vol.182, issue.9, p.1856, 2011.
DOI : 10.1016/j.cpc.2010.11.017

J. K. Dhont, An introduction to dynamics of colloids, 1996.

J. P. Wittmer, H. Meyer, A. Johner, T. Kreer, and J. Baschnagel, Algebraic Displacement Correlation in Two-Dimensional Polymer Melts, Physical Review Letters, vol.105, issue.3, p.37802, 2010.
DOI : 10.1103/PhysRevLett.105.037802

W. W. Wood, Monte Carlo Calculations for Hard Disks in the Isothermal???Isobaric Ensemble, The Journal of Chemical Physics, vol.48, issue.1, p.415, 1968.
DOI : 10.1063/1.1667938

J. Lee and J. M. Kosterlitz, Finite-size scaling and Monte Carlo simulations of first-order phase transitions, Physical Review B, vol.43, issue.4, p.3265, 1991.
DOI : 10.1103/PhysRevB.43.3265

G. M. Torrie and J. P. Valleau, Nonphysical sampling distributions in Monte Carlo free-energy estimation: Umbrella sampling, Journal of Computational Physics, vol.23, issue.2, p.187, 1977.
DOI : 10.1016/0021-9991(77)90121-8

B. J. Alder and T. E. Wainwright, Studies in Molecular Dynamics. II. Behavior of a Small Number of Elastic Spheres, The Journal of Chemical Physics, vol.33, issue.5, p.1439, 1960.
DOI : 10.1063/1.1731425

B. Widom, Some Topics in the Theory of Fluids, The Journal of Chemical Physics, vol.39, issue.11, p.2808, 1963.
DOI : 10.1063/1.1734110

J. J. Alonso and J. F. Fernández, van der Waals loops and the melting transition in two dimensions, Physical Review E, vol.59, issue.3, p.2659, 1999.
DOI : 10.1103/PhysRevE.59.2659

D. Nelson, T. Piran, and S. Weinberg, Statistical mechanics of membranes and surfaces, 2004.
DOI : 10.1142/5473

H. Furukawa and K. Binder, Two-phase equilibria and nucleation barriers near a critical point, Physical Review A, vol.26, issue.1, p.556, 1982.
DOI : 10.1103/PhysRevA.26.556

M. Schrader, P. Virnau, and K. Binder, Simulation of vapor-liquid coexistence in finite volumes: A method to compute the surface free energy of droplets, Physical Review E, vol.79, issue.6, p.61104, 2009.
DOI : 10.1103/PhysRevE.79.061104

N. G. Almarza, A cluster algorithm for Monte Carlo simulation at constant pressure, The Journal of Chemical Physics, vol.130, issue.18, p.184106, 2009.
DOI : 10.1063/1.3133328

S. Pronk and D. Frenkel, Melting of polydisperse hard disks, Physical Review E, vol.69, issue.6, p.66123, 2004.
DOI : 10.1103/PhysRevE.69.066123

A. T. Ogielski and I. Morgenstern, Critical behavior of three-dimensional Ising spin-glass model, Physical Review Letters, vol.54, issue.9, p.928, 1985.
DOI : 10.1103/PhysRevLett.54.928

C. Chanal and W. Krauth, Renormalization Group Approach to Exact Sampling, Physical Review Letters, vol.100, issue.6, p.60601, 2008.
DOI : 10.1103/PhysRevLett.100.060601

URL : http://arxiv.org/abs/0707.4117

S. A. Kauffman, Metabolic stability and epigenesis in randomly constructed genetic nets, Journal of Theoretical Biology, vol.22, issue.3, p.437, 1969.
DOI : 10.1016/0022-5193(69)90015-0

C. Chanal and W. Krauth, Convergence and coupling for spin glasses and hard spheres, Physical Review E, vol.81, issue.1, p.16705, 2010.
DOI : 10.1103/PhysRevE.81.016705

C. K. Thomas and A. A. Middleton, Exact algorithm for sampling the two-dimensional Ising spin glass, Physical Review E, vol.80, issue.4, p.46708, 2009.
DOI : 10.1103/PhysRevE.80.046708

M. Kac and J. C. Ward, A Combinatorial Solution of the Two-Dimensional Ising Model, Physical Review, vol.88, issue.6, p.1332, 1952.
DOI : 10.1103/PhysRev.88.1332

W. S. Kendall and E. Thonnes, Perfect simulation in stochastic geometry, Pattern Recognition, vol.32, issue.9, p.1569, 1999.
DOI : 10.1016/S0031-3203(99)00021-7

A. M. Childs, R. B. Patterson, and D. J. Mackay, Exact sampling from nonattractive distributions using summary states, Physical Review E, vol.63, issue.3, p.36113, 2001.
DOI : 10.1103/PhysRevE.63.036113

URL : http://arxiv.org/abs/cond-mat/0005132

B. Derrida and G. Weisbuch, Dynamical Phase Transitions in 3-Dimensional Spin Glasses, Europhysics Letters (EPL), vol.4, issue.6, p.657, 1987.
DOI : 10.1209/0295-5075/4/6/004

I. A. Campbell and L. De-arcangelis, On the damage spreading in Ising spin glasses, Physica A: Statistical Mechanics and its Applications, vol.178, issue.1, p.29, 1991.
DOI : 10.1016/0378-4371(91)90073-L

I. Morgenstern and K. Binder, Evidence Against Spin-Glass Order in the Two-Dimensional Random-Bond Ising Model, Physical Review Letters, vol.43, issue.21, p.1615, 1979.
DOI : 10.1103/PhysRevLett.43.1615

W. L. Mcmillan, ) Ising model, Physical Review B, vol.28, issue.9, p.5216, 1983.
DOI : 10.1103/PhysRevB.28.5216

W. S. Kendall and J. Moller, Perfect simulation using dominating processes on ordered spaces, with application to locally stable point processes, Advances in Applied Probability, vol.39, issue.03, p.844, 2000.
DOI : 10.1239/aap/1029954267

W. Krauth, J. Phys, W. Buhot, W. Krauth-santen, and . Krauth, Dress, Phys. Rev. Lett. Nature London Phys. Lett. A, vol.28, issue.120, 1998.

J. Propp and D. Wilson, Random Struct Algorithms, 91996.

D. Wilson, Random Struct Algorithms, 2000.

W. Kendall and J. Moller, Advv Appll Probabb, 2000.

D. Griffeath, Probabb Theory Relat Fields, 31 1975) 95

R. Peierls, . Helv, and . Phys, Acta Suppl, p.81, 1934.

N. D. Mermin and H. Wagner, Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models, Physical Review Letters, vol.17, issue.22, p.1133, 1966.
DOI : 10.1103/PhysRevLett.17.1133

J. M. Kosterlitz and D. J. Thouless, Ordering, metastability and phase transitions in two-dimensional systems, Journal of Physics C: Solid State Physics, vol.6, issue.7, p.1181, 1973.
DOI : 10.1088/0022-3719/6/7/010

B. I. Halperin and D. R. Nelson, Theory of Two-Dimensional Melting, Physical Review Letters, vol.41, issue.2, p.121, 1978.
DOI : 10.1103/PhysRevLett.41.121

A. P. Young, Melting and the vector Coulomb gas in two dimensions, Physical Review B, vol.19, issue.4, p.1855, 1979.
DOI : 10.1103/PhysRevB.19.1855

K. J. Strandburg, Two-dimensional melting, Reviews of Modern Physics, vol.60, issue.1, p.161, 1988.
DOI : 10.1103/RevModPhys.60.161

J. Y. Lee and K. J. Strandburg, First-order melting transition of the hard-disk system, Physical Review B, vol.46, issue.17, p.11190, 1992.
DOI : 10.1103/PhysRevB.46.11190

J. A. Zollweg and G. V. Chester, Melting in two dimensions, Physical Review B, vol.46, issue.17, p.11186, 1992.
DOI : 10.1103/PhysRevB.46.11186

H. Weber, D. Marx, and K. Binder, Melting transition in two dimensions: A finite-size scaling analysis of bond-orientational order in hard disks, Physical Review B, vol.51, issue.20, p.14636, 1995.
DOI : 10.1103/PhysRevB.51.14636

C. H. Mak, Large-scale simulations of the two-dimensional melting of hard disks, Physical Review E, vol.73, issue.6, p.65104, 2006.
DOI : 10.1103/PhysRevE.73.065104

K. Zahn, R. Lenke, and G. Maret, Two-Stage Melting of Paramagnetic Colloidal Crystals in Two Dimensions, Physical Review Letters, vol.82, issue.13, p.2721, 1999.
DOI : 10.1103/PhysRevLett.82.2721

Y. Peng, Z. Wang, Z. , A. M. Alsayed, A. G. Yodh et al., Melting of Colloidal Crystal Films, Physical Review Letters, vol.104, issue.20, p.205703, 2010.
DOI : 10.1103/PhysRevLett.104.205703

K. Bagchi, H. C. Andersen, and W. Swope, Computer Simulation Study of the Melting Transition in Two Dimensions, Physical Review Letters, vol.76, issue.2, p.255, 1996.
DOI : 10.1103/PhysRevLett.76.255

W. Krauth, Statistical Mechanics: Algorithms and Computations, 2006.

E. P. Bernard, W. Krauth, and D. B. Wilson, Event-chain Monte Carlo algorithms for hard-sphere systems, Physical Review E, vol.80, issue.5, p.56704, 2009.
DOI : 10.1103/PhysRevE.80.056704

URL : http://arxiv.org/abs/0903.2954

J. Lee and J. M. Kosterlitz, New numerical method to study phase transitions, Physical Review Letters, vol.65, issue.2, p.137, 1990.
DOI : 10.1103/PhysRevLett.65.137

J. E. Mayer and W. W. Wood, Interfacial Tension Effects in Finite, Periodic, Two???Dimensional Systems, The Journal of Chemical Physics, vol.42, issue.12, p.4268, 1965.
DOI : 10.1063/1.1695931

H. Furukawa and K. Binder, Two-phase equilibria and nucleation barriers near a critical point, Physical Review A, vol.26, issue.1, p.556, 1982.
DOI : 10.1103/PhysRevA.26.556

M. Schrader, P. Virnau, and K. Binder, Simulation of vapor-liquid coexistence in finite volumes: A method to compute the surface free energy of droplets, Physical Review E, vol.79, issue.6, p.61104, 2009.
DOI : 10.1103/PhysRevE.79.061104

A. C. Van-enter and S. B. Shlosman, -Vector Models in Two and More Dimensions: Rigorous Proof, Physical Review Letters, vol.89, issue.28, p.285702, 2002.
DOI : 10.1103/PhysRevLett.89.285702

URL : https://hal.archives-ouvertes.fr/hal-00968544