Entropy of particle packings: An illustration on a toy model

Physica A: Statistical Mechanics and its Applications

Volumn 236, Issue 3-4, 1997, Pages 395-410

  Monasson, Rémi ^a   Pouliquen, Olivier ^b  

^a LABORATOIRE DE PHYSIQUE STATISTIQUE   (France)

^b ECOLE POLYTECHNIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICS; ENTROPY; GRANULAR MATERIALS; PARTICLES (PARTICULATE MATTER); THERMAL EFFECTS;

PARTICLE PACKINGS; TOY MODEL;

MATHEMATICAL MODELS;

EID: 0031094743     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(96)00369-X     Document Type: Article

References (31)

1. D.J. Cumberland and R.J. Crawford, 'The Packing of Particles'. Handbook of Powder Technology, Vol. 6 (Elsevier, Amsterdam, 1987).
2. J.D. Bernal, Proc. Roy. Soc. London A 280 (1964) 299.
3. D.G. Scott, Nature 188 (1960) 908.
4. E.M. Tory, B.H. Church, M.K. Tam and M. Ratner, Canad J. Chem. Eng. 51 (1973) 484.
5. G.Y. Onoda and E.G. Liniger, Phys. Rev. Lett. 64 (1990) 2727.
6. J.D. Bernal and J. Mason, Nature 188 (1960) 910.
7. A. Gervois, M. Lichtenberg, L. Oger and E. Guyon, J. Phys. A 22 (1989) 2119.
8. C.H. Bennett, J. Appl. Phys. 43 (1972) 2727.
9. G.Q. Lu and X. Shi, J. Mater. Sci. Lett. 13 (1994) 1709.
10. Anonymous, Nature 239 (1972) 488.
11. J.L. Finney and K. Gotoh, Nature 256 (1975) 522.
12. M. Dixmier, J. Phys. 39 (1978) 873.
13. J.F. Sadoc, C. R. Acad. Sci. Paris 292 (1981) 435.
14. J.G. Berryman, Phys. Rev. A 27 (1983) 1053.
15. N.J.A. Sloane, Sci. Am. 250 (1984) 92.
16. J.H. Conway and N.J.A Sloane, Sphere Packing, Lattices and Groups, Series of Comprehensible Studies in Mathematics, Vol. 290 (Springer, Berlin. 1988).
17. S.F. Edwards and A. Mehta, J. Phys. France 50 (1989) 2489.
18. A. Mehta and S.F. Edwards, Physica A 157 (1989) 1091.
19. R.B.S. Oakeshott and S.F. Edwards. Physica A 189 (1992) 188.
20. C.C. Mounfield and S.F. Edwards, Physica A 210 (1994) 279, 290, 301.
21. R.J. Baxter, Exactly Solvable Models in Statistical Mechanics (Academic Press, London, 1982).
22. L.K. Runnels and L.L. Combs, J. Chem. Phys. 45 (1966) 2482.
23. B.D. Metcall and C.P. Yang, Phys. Rev. B 18 (1978) 2304.
24. C.H. Liu, S.R. Nagel, D.A. Schecter, S.N. Coppersmith, S. Majumdar, O. Narayan and T.A. Witten, Science 269 (1995) 513.
25. J.P. Bouchaud, M.E. Cates and P. Claudin, J. Phys. I (France) 5 (1995) 539.
26. F. Radjai, Dynamique des rotations et frottement collectif dans les systèmes granulaires, Thèse Université Paris XI (1995).
27. J. Hemmingsson, H.J. Herrmann and S. Roux, preprint (1996).
28. S. Roux, D. Bideau and C. Weill, J. Phys.: Condens. Matter I (1989) 5794.
29. M. Forcinito and M. Epstein, Physica D 81 (1995) 305.
30. L.C. Graton and H.J. Fraser, J. Geol. 43 (1935) 785.
31. W.H. Press, B.P Flannery, S.A. Teukolsky and W.T. Vetterling, Numerical Recipes (Cambridge Univ. Press, Cambridge, 1986).