Abstract
We address the question of whether solids may be distinguished from fluids by their response to shear stress.
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Bowen, L., et al.: Fluid-solid transition in a hard-core system. Phys. Rev. Lett. 96, 025701 (2006)
Alder, B.J., Hoover, W.G.: Numerical statistical mechanics. In: Temperley, H.N.V., Rowlinson, J.S., Rushbrooke, G.S. (eds.) Physics of Simple Liquids, pp. 79–113. Wiley, New York (1968)
Löwen, H.: Fun with hard spheres. In: Mecke, K., Stoyan, D. (eds.) Statistical Physics and Spatial Statistics: The Art of Analyzing Spatial Structures and Pattern Formation, pp. 295–331. Springer, Berlin (2000)
Yeomans, J.M.: Statistical Mechanics of Phase Transitions. Clarendon Press, Oxford (1992)
Anderson, P.W.: Basic Notions of Condensed Matter Physics. Benjamin/Cummings, Menlo Park (1984). Chap. 2
Parrinello, M., Rahman, A.: Strain fluctuations and elastic constants. J. Chem. Phys. 76, 2662 (1982)
MacDonald, I.R.: NpT-ensemble Monte Carlo calculations for binary liquid mixtures. Mol. Phys. 100, 95 (2002)
Sausset, F., Biroli, G., Kurchan, J.: Do solids flow? J. Stat. Phys. 140, 718–727 (2010)
Lebowitz, J.: Statistical mechanics—1 a review of selected rigorous results. Annu. Rev. Phys. Chem. 19, 389–418 (1968)
Ruelle, D.: Statistical Mechanics; Rigorous Results. Benjamin, New York (1969)
Bernard, E.P., Krauth, W.: First-order liquid-hexatic phase transition in hard disks, arXiv:1102.4094
Ashcroft, N.W., Mermin, N.D.: Solid State Physics. Saunders College, Philadelphia (1976)
Métayer, J.-F., et al.: Shearing of frictional sphere packings. Europhys. Lett. 93, 64003 (2011)
Aristoff, D., Radin, C.: Dilatancy transition in a granular model. J. Stat. Phys. 143, 215–225 (2011)
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Research supported in part by NSF Grant DMS-0700120.
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Aristoff, D., Radin, C. Rigidity in Solids. J Stat Phys 144, 1247 (2011). https://doi.org/10.1007/s10955-011-0304-x
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DOI: https://doi.org/10.1007/s10955-011-0304-x