M. Doi and S. F. Edwards, The Theory of Polymer Dynamics, 1986.

M. Rubinstein and R. H. Colby, Polymer Physics, 2003.

G. Strobl, The Physics of Polymers: Concepts for Understanding their Structures and Behavior, 1997.

M. Muthukumar, Nucleation in Polymer Crystallization, Adv. Chem. Phys, vol.128, 2004.
DOI : 10.1002/0471484237.ch1

G. B. , McKenna in Comprehensive Polymer Science, pp.311-362, 1986.

C. A. Angell, K. L. Ngai, G. B. Mckenna, P. F. Mcmillan, and S. W. Martin, Relaxation in glassforming liquids and amorphous solids, Journal of Applied Physics, vol.11, issue.6, p.3113, 2000.
DOI : 10.1103/PhysRevLett.80.2161

E. Donth, The Glass Transition, 2001.
DOI : 10.1007/978-3-662-04365-3
URL : https://hal.archives-ouvertes.fr/jpa-00247346

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. Born and K. Huang, Dynamical Theory of Crystal Lattices, American Journal of Physics, vol.23, issue.7, 1954.
DOI : 10.1119/1.1934059

J. F. Lutsko, Generalized expressions for the calculation of elastic constants by computer simulation, Journal of Applied Physics, vol.31, issue.8, p.2991, 1989.
DOI : 10.1063/1.341877

D. Frenkel and B. Smit, Understanding Molecular Simulation, Computers in Physics, vol.11, issue.4, 2002.
DOI : 10.1063/1.4822570

J. P. Wittmer, H. Xu, P. Poli´nskapoli´nska, F. Weysser, and J. Baschnagel, Shear modulus of simulated glass-forming model systems: Effects of boundary condition, temperature, and sampling time, The Journal of Chemical Physics, vol.138, issue.12, pp.12-533, 2013.
DOI : 10.1103/PhysRevE.52.4134
URL : https://hal.archives-ouvertes.fr/hal-01517066

W. Götze, Complex Dynamics of Glass-Forming Liquids: A Mode-Coupling Theory, 2009.
DOI : 10.1093/acprof:oso/9780199235346.001.0001

G. Szamel and E. Flenner, Emergence of Long-Range Correlations and Rigidity at the Dynamic Glass Transition, Physical Review Letters, vol.107, issue.10, p.105505, 2011.
DOI : 10.1080/00268970010028827

C. L. Klix, F. Ebert, F. Weysser, M. Fuchs, G. Maret et al., Glass Elasticity from Particle Trajectories, Physical Review Letters, vol.109, issue.17, p.178301, 2012.
DOI : 10.1039/c2sm07010c

C. Klix, G. Maret, and P. Keim, Discontinuous Shear Modulus Determines the Glass Transition Temperature, Physical Review X, vol.7, issue.4, p.41033, 2015.
DOI : 10.1209/0295-5075/109/48005

J. Barrat, J. Roux, J. Hansen, and M. L. Klein, Elastic Response of a Simple Amorphous Binary Alloy Near the Glass Transition, Europhysics Letters (EPL), vol.7, issue.8, p.707, 1988.
DOI : 10.1209/0295-5075/7/8/007
URL : https://hal.archives-ouvertes.fr/hal-00355010

H. Yoshino and M. Mézard, Emergence of Rigidity at the Structural Glass Transition: A First-Principles Computation, Physical Review Letters, vol.105, issue.1, p.15504, 2010.
DOI : 10.1103/PhysRevB.77.104429

A. Zaccone and E. M. Terentjev, Disorder-Assisted Melting and the Glass Transition in Amorphous Solids, Physical Review Letters, vol.11, issue.17, p.178002, 2013.
DOI : 10.1063/1.342716
URL : http://arxiv.org/pdf/1212.2020

M. Alcoutlabi and G. B. Mckenna, Effects of confinement on material behaviour at the nanometre size scale, Journal of Physics: Condensed Matter, vol.17, issue.15, p.461, 2005.
DOI : 10.1088/0953-8984/17/15/R01

J. A. Forrest and K. Dalnoki-veress, The glass transition in thin polymer films, Advances in Colloid and Interface Science, vol.94, issue.1-3, p.167, 2001.
DOI : 10.1016/S0001-8686(01)00060-4

P. O. Connell and G. Mckenna, Novel nanobubble inflation method for determining the viscoelastic properties of ultrathin polymer films, Review of Scientific Instruments, vol.78, p.1111, 2007.

B. Schnell, H. Meyer, C. Fond, J. Wittmer, and J. Baschnagel, Simulated glass-forming polymer melts: Glass transition temperature and elastic constants of the glassy state, The European Physical Journal E, vol.74, issue.9, p.97, 2011.
DOI : 10.1103/PhysRevE.74.061803
URL : https://hal.archives-ouvertes.fr/hal-00679038

K. Yoshimoto, T. S. Jain, K. Van-workum, P. F. Nealey, and J. J. De-pablo, Mechanical Heterogeneities in Model Polymer Glasses at Small Length Scales, Physical Review Letters, vol.67, issue.17
DOI : 10.1021/nl034458l

. Lett, , p.175501, 2004.

N. Schulmann, H. Xu, H. Meyer, P. Poli´nskapoli´nska, J. Baschnagel et al., Strictly two-dimensional self-avoiding walks: Thermodynamic properties revisited, The European Physical Journal E, vol.9, issue.135, p.93, 2012.
DOI : 10.1063/1.1710417
URL : https://hal.archives-ouvertes.fr/hal-02146550

J. Baschnagel, I. Kriuchevskyi, J. Helfferich, C. Ruscher, H. Meyer et al., Polymer Glasses, ch. Glass Transition and Relaxation Behavior of Supercooled Polymer Melts: An Introduction to Modeling Approaches by Molecular Dynamics Simulations, pp.55-105, 2016.

S. Herminghaus, K. Jacobs, and R. Seemann, The glass transition of thin polymer films: some questions, and a possible answer, The European Physical Journal E, vol.5, issue.5, p.531, 2001.
DOI : 10.1007/s101890170036

S. Peter, Structure et relaxation structurale des fondus de polymères vitrifiables en couches minces, 2007.

J. Baschnagel and F. Varnik, Computer simulations of supercooled polymer melts in the bulk and in confined geometry, Journal of Physics: Condensed Matter, vol.17, issue.32, p.851, 2005.
DOI : 10.1088/0953-8984/17/32/R02

S. Mirigian and K. S. Schweizer, Theory of activated glassy relaxation, mobility gradients, surface diffusion, and vitrification in free standing thin films, The Journal of Chemical Physics, vol.143, issue.24, p.244705, 2015.
DOI : 10.1021/ma300098h

D. M. Heyes, D. Dini, and A. C. Braka, Scaling of Lennard-Jones liquid elastic moduli, viscoelasticity and other properties along fluid-solid coexistence, physica status solidi (b), vol.224, issue.7, pp.1514-1525, 2015.
DOI : 10.1243/13506501JET506

M. Fuchs and M. R. Mayr, Aspects of the dynamics of colloidal suspensions: Further results of the mode-coupling theory of structural relaxation, Physical Review E, vol.45, issue.237, p.5742, 1999.
DOI : 10.1103/PhysRevA.45.898

J. A. Forrest, K. Dalnoki-veress, and J. R. Dutcher, Brillouin light scattering studies of the mechanical properties of thin freely standing polystyrene films, Physical Review E, vol.37, issue.5, pp.6109-6114, 1998.
DOI : 10.1364/AO.37.003318

C. M. Stafford, B. D. Vogt, C. Harrison, D. Julthongpiput, and R. Huang, Elastic Moduli of Ultrathin Amorphous Polymer Films, Macromolecules, vol.39, issue.15, p.5095, 2006.
DOI : 10.1021/ma060790i

K. Van-workum and J. J. De-pablo, Local elastic constants in thin films of an fcc crystal, Physical Review E, vol.96, issue.3, p.31601, 2003.
DOI : 10.1063/1.462456

C. Luo and J. Sommer, Frozen Topology: Entanglements Control Nucleation and Crystallization in Polymers, Physical Review Letters, vol.112, issue.19, p.195702, 2014.
DOI : 10.1016/0263-7855(96)00018-5

R. Böhmer, K. L. Ngai, C. A. Angell, and D. J. Plazek, Nonexponential relaxations in strong and fragile glass formers, The Journal of Chemical Physics, vol.3, issue.5, p.4201, 1993.
DOI : 10.1063/1.450924

L. Berthier and G. Biroli, Theoretical perspective on the glass transition and amorphous materials, Reviews of Modern Physics, vol.2, issue.2, p.587, 2011.
DOI : 10.1103/PhysRevB.73.172203
URL : https://hal.archives-ouvertes.fr/hal-00608672

A. Cavagna, Supercooled liquids for pedestrians, Physics Reports, vol.476, issue.4-6, pp.51-124, 2009.
DOI : 10.1016/j.physrep.2009.03.003

G. Biroli and J. P. Garrahan, Perspective: The glass transition, The Journal of Chemical Physics, vol.138, issue.12, pp.12-301, 2013.
DOI : 10.1103/PhysRevLett.109.097401
URL : https://hal.archives-ouvertes.fr/hal-00608672

M. D. Ediger and P. Harrowell, Perspective: Supercooled liquids and glasses, The Journal of Chemical Physics, vol.137, issue.8, p.80901, 2012.
DOI : 10.1039/c001930e
URL : https://aip.scitation.org/doi/pdf/10.1063/1.4747326

J. R. Ray, M. C. Moody, and A. Rahman, Molecular dynamics calculation of elastic constants for a crystalline system in equilibrium, Physical Review B, vol.30, issue.2, p.733, 1985.
DOI : 10.1103/PhysRevA.30.616

O. Farago and Y. Kantor, Fluctuation formalism for elastic constants in hard-spheres-and-tethers systems, Physical Review E, vol.41, issue.3, p.2478, 2000.
DOI : 10.1103/PhysRevA.41.6796

C. Maloney and A. Lema??trelema??tre, Universal Breakdown of Elasticity at the Onset of Material Failure, Physical Review Letters, vol.93, issue.19, p.195501, 2004.
DOI : 10.1016/0001-6160(83)90038-X

A. Tanguy, J. P. Wittmer, F. Léonforte, and J. Barrat, Continuum limit of amorphous elastic bodies: A finite-size study of low-frequency harmonic vibrations, Physical Review B, vol.31, issue.17, p.174205, 2002.
DOI : 10.1016/S0167-6636(99)00010-1
URL : http://arxiv.org/pdf/cond-mat/0204258

F. Léonforte, R. Boissì-ere, A. Tanguy, J. P. Wittmer, and J. Barrat, Continuum limit of amorphous elastic bodies. III. Three-dimensional systems, Physical Review B, vol.48, issue.22, p.224206, 2005.
DOI : 10.1063/1.478340

F. Léonforte, A. Tanguy, J. P. Wittmer, and J. Barrat, Inhomogeneous Elastic Response of Silica Glass, Physical Review Letters, vol.267, issue.5, p.55501, 2006.
DOI : 10.1103/PhysRevB.50.13105

M. Tsamados, A. Tanguy, C. Goldenberg, and J. Barrat, Local elasticity map and plasticity in a model Lennard-Jones glass, Physical Review E, vol.80, issue.2, p.26112, 2009.
DOI : 10.1038/nmat1266
URL : https://hal.archives-ouvertes.fr/hal-00432324

G. J. Papakonstantopoulos, R. A. Riggleman, J. Barrat, and J. J. De-pablo, Molecular plasticity of polymeric glasses in the elastic regime, Physical Review E, vol.77, issue.4, p.41502, 2008.
DOI : 10.1103/PhysRevLett.96.185701

M. R. Vanlandingham, J. S. Villarrubia, W. F. Guthrie, and G. F. Meyers, Nanoindentation of polymers: an overview, Macromolecular Symposia, vol.167, issue.1, p.15, 2001.
DOI : 10.1002/1521-3900(200103)167:1<15::AID-MASY15>3.0.CO;2-T

A. Strojny, X. Y. Xia, A. Tsou, and W. W. Gerberich, Techniques and considerations for nanoindentation measurements of polymer thin film constitutive properties, Journal of Adhesion Science and Technology, vol.8, issue.12, p.1299, 1998.
DOI : 10.1557/JMR.1993.1291

A. G. , Every Meas. Sci. Technol, vol.13, p.21, 2002.

J. H. Zhao, M. Kiene, C. Hu, and P. S. Ho, Thermal stress and glass transition of ultrathin polystyrene films, Applied Physics Letters, vol.77, issue.18, p.2843, 2000.
DOI : 10.1103/PhysRevE.58.6109

M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids, 1987.

S. Melchionna, G. Ciccotti, and B. , dynamics for systems varying in shape and size, Molecular Physics, vol.78, issue.3, p.533, 1993.
DOI : 10.1063/1.444728

S. Peter, S. Napolitano, H. Meyer, M. Wübbenhorst, and J. Baschnagel, Modeling Dielectric Relaxation in Polymer Glass Simulations: Dynamics in the Bulk and in Supported Polymer Films, Macromolecules, vol.41, issue.20, p.7729, 2008.
DOI : 10.1021/ma800694v
URL : https://hal.archives-ouvertes.fr/hal-00367836

C. Bennemann, W. Paul, K. Binder, and B. Dünweg, Molecular-dynamics simulations of the thermal glass transition in polymer melts: ??-relaxation behavior, Physical Review E, vol.95, issue.1, pp.843-851, 1998.
DOI : 10.1063/1.461346

W. Paul and G. D. Smith, Structure and dynamics of amorphous polymers: computer simulations compared to experiment and theory, Reports on Progress in Physics, vol.67, issue.7, p.1117, 2004.
DOI : 10.1088/0034-4885/67/7/R03

K. Kremer and G. S. Grest, Dynamics of entangled linear polymer melts:??? A molecular???dynamics simulation, The Journal of Chemical Physics, vol.3, issue.8, p.5057, 1990.
DOI : 10.1063/1.457534

P. Virnau, M. Müller, L. Gonzalez-macdowell, and K. Binder, Phase separation kinetics in compressible polymer solutions: computer simulation of the early stages, New Journal of Physics, vol.6, p.7, 2004.
DOI : 10.1088/1367-2630/6/1/007
URL : http://iopscience.iop.org/article/10.1088/1367-2630/6/1/007/pdf

P. Virnau, M. Müller, L. G. Macdowell, and K. Binder, -alkanes in supercritical solution: A Monte Carlo study, The Journal of Chemical Physics, vol.59, issue.5, p.2169, 2004.
DOI : 10.1080/000187398243546

M. Kröger, Simple models for complex nonequilibrium fluids, Physics Reports, vol.390, issue.6, pp.453-551, 2004.
DOI : 10.1016/j.physrep.2003.10.014

C. Peter and K. Kremer, Multiscale simulation of soft matter systems ??? from the atomistic to the coarse-grained level and back, Soft Matter, vol.26, issue.22, pp.4357-4366, 2009.
DOI : 10.1039/b911713j

, Large-scale Atomic/Molecular Massively Parallel Simulator (LAMMPS), http://lammps.sandia.gov

S. Frey, Propriétés viscoélastiques des fondus de polymères vitrifiables, 2012.

J. H. Mangalara, M. E. Mackura, M. D. Marvin, and D. S. Simmons, The relationship between dynamic and pseudo-thermodynamic measures of the glass transition temperature in nanostructured materials, The Journal of Chemical Physics, vol.22, issue.20, p.203316, 2017.
DOI : 10.1063/1.4976521

J. H. Irving and J. G. Kirkwood, The Statistical Mechanical Theory of Transport Processes. IV. The Equations of Hydrodynamics, The Journal of Chemical Physics, vol.18, issue.6, pp.817-829, 1950.
DOI : 10.1063/1.1747099

F. Varnik, J. Baschnagel, and K. Binder, Molecular dynamics results on the pressure tensor of polymer films, The Journal of Chemical Physics, vol.10, issue.10, p.4444, 2000.
DOI : 10.1021/ma991796t
URL : https://hal.archives-ouvertes.fr/hal-00019709

J. P. Wittmer, H. Xu, and J. Baschnagel, Shear-stress relaxation and ensemble transformation of shear-stress autocorrelation functions, Physical Review E, vol.91, issue.2, p.22107, 2015.
DOI : 10.1063/1.476623
URL : https://hal.archives-ouvertes.fr/hal-01515835

J. Lebowitz, J. Percus, and L. , Ensemble Dependence of Fluctuations with Application to Machine Computations, Physical Review, vol.26, issue.1, p.250, 1967.
DOI : 10.1016/0031-8914(60)90025-2

J. Wittmer, H. Xu, O. Benzerara, and J. Baschnagel, Fluctuation-dissipation relation between shear stress relaxation modulus and shear stress autocorrelation function revisited, Molecular Physics, vol.8169, issue.17-18, pp.17-18, 2015.
DOI : 10.1119/1.1934059
URL : https://hal.archives-ouvertes.fr/hal-01515839

R. Zwanzig and R. D. Mountain, High???Frequency Elastic Moduli of Simple Fluids, The Journal of Chemical Physics, vol.1, issue.12, pp.4464-4471, 1965.
DOI : 10.1016/0031-8914(60)90025-2

L. D. Landau and E. M. Lifshitz, Theory of Elasticity, 1986.

L. Sperling, Introduction to physical polymer science. A Wiley-Interscience publication, 1992.

T. G. Fox and P. J. Flory, The glass temperature and related properties of polystyrene. Influence of molecular weight, Journal of Polymer Science, vol.14, issue.75, p.315, 1954.
DOI : 10.1002/pol.1954.120147514

T. G. Fox and S. Loshaek, Influence of molecular weight and degree of crosslinking on the specific volume and glass temperature of polymers, Journal of Polymer Science, vol.15, issue.80, p.371, 1955.
DOI : 10.1002/pol.1955.120158006

S. Frey, F. Weyßer, H. Meyer, J. Farago, M. Fuchs et al., Simulated glass-forming polymer melts: Dynamic scattering functions, chain length effects, and mode-coupling theory analysis, The European Physical Journal E, vol.63, issue.2, p.11, 2015.
DOI : 10.1103/PhysRevE.63.061210

R. Brüning and K. Samwer, Glass transition on long time scales, Physical Review B, vol.40, issue.118, p.11318, 1992.
DOI : 10.1103/PhysRevA.40.1045

A. V. Lyulin, N. K. Balabaev, and M. A. Michels, for Amorphous Polystyrene, Macromolecules, vol.36, issue.22, p.8574, 2003.
DOI : 10.1021/ma034406i

J. Buchholz, W. Paul, F. Varnik, and K. Binder, Cooling rate dependence of the glass transition temperature of polymer melts: Molecular dynamics study, The Journal of Chemical Physics, vol.71, issue.15
DOI : 10.1063/1.328693

, Chem. Phys, vol.117, pp.7364-7372, 2002.

K. Vollmayr, W. Kob, and K. Binder, How do the properties of a glass depend on the cooling rate? A computer simulation study of a Lennard???Jones system, The Journal of Chemical Physics, vol.14, issue.11
DOI : 10.1016/0022-3093(84)90564-7

, Chem. Phys, vol.105, p.4714, 1996.

O. Narayanaswamy, Thermoreological Simplicity in the Glass Transition, J. Am. Ceram. Soc, 1988.

K. Dalnoki-veress, J. A. Forrest, C. Murray, C. Gigault, and J. R. Dutcher, Molecular weight dependence of reductions in the glass transition temperature of thin, freely standing polymer films, Physical Review E, vol.2, issue.3, p.31801, 2001.
DOI : 10.1007/PL00013665

F. Varnik, J. Baschnagel, and K. Binder, Reduction of the glass transition temperature in polymer films: A molecular-dynamics study, Physical Review E, vol.52, issue.237, p.21507, 2002.
DOI : 10.1103/PhysRevE.52.4016

F. Varnik, J. Baschnagel, and K. Binder, Static and dynamic properties of supercooled thin polymer films, The European Physical Journal E, vol.8, issue.2, p.175, 2002.
DOI : 10.1140/epje/i2001-10092-8

G. Xu and W. L. Mattice, Monte Carlo simulation on the glass transition of free-standing atactic polypropylene thin films on a high coordination lattice, The Journal of Chemical Physics, vol.4, issue.11, p.5241, 2003.
DOI : 10.1021/jp021470d

J. L. Keddie, R. A. Jones, and R. A. Cory, Size-Dependent Depression of the Glass Transition Temperature in Polymer Films, Europhysics Letters (EPL), vol.27, issue.1, p.59, 1994.
DOI : 10.1209/0295-5075/27/1/011

B. Böddeker and H. Teichler, Dynamics near free surfaces of molecular dynamics simulated Ni 0.5 Zr 0.5 metallic glass films, Phys. Rev. E, vol.59, 1948.

P. Scheidler, W. Kob, and K. Binder, Cooperative motion and growing length scales in supercooled confined liquids, Europhysics Letters (EPL), vol.59, issue.5, p.701, 2002.
DOI : 10.1209/epl/i2002-00182-9
URL : https://hal.archives-ouvertes.fr/hal-00113269

A. A. Shvets and A. N. Semenov, Effective interactions between solid particles mediated by free polymer in solution, The Journal of Chemical Physics, vol.28, issue.5, p.54905, 2013.
DOI : 10.1021/ma00186a051

A. N. Semenov and A. A. Shvets, Theory of colloid depletion stabilization by unattached and adsorbed polymers, Soft Matter, vol.24, issue.45, pp.8863-8878, 2015.
DOI : 10.1021/la7027516

A. A. Shvets and A. B. Kolomeisky, Crowding on DNA in Protein Search for Targets, The Journal of Physical Chemistry Letters, vol.7, issue.13, pp.2502-2506, 2016.
DOI : 10.1021/acs.jpclett.6b00905

J. Helfferich, F. Ziebert, S. Frey, H. Meyer, J. Farago et al., Continuous-time random-walk approach to supercooled liquids. I. Different definitions of particle jumps and their consequences, Physical Review E, vol.138, issue.4, p.42603, 2014.
DOI : 10.1103/PhysRevLett.103.159802

R. Zwanzig and R. D. Mountain, High???Frequency Elastic Moduli of Simple Fluids, The Journal of Chemical Physics, vol.1, issue.12, p.4464, 1965.
DOI : 10.1016/0031-8914(60)90025-2

M. Nadal and P. L. Poac, Continuous model for the shear modulus as a function of pressure and temperature up to the melting point: Analysis and ultrasonic validation, Journal of Applied Physics, vol.18, issue.5, pp.2472-2480, 2003.
DOI : 10.1103/PhysRevB.1.3982

C. Klix, G. Maret, P. Keim, $. %. , and $. , Private communication