Energy dynamics in the Sinai model

Physica A: Statistical Mechanics and its Applications

Volumn 334, Issue 1-2, 2004, Pages 78-108

  Monthus, Cécile ^a   Le Doussal, Pierre ^b  

^a Centre National de la Recherche Scientifique   (France)

^b ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

Diffusion; Random media; Sinai model

Indexed keywords

ASYMPTOTIC STABILITY; DIFFUSION; FREE ENERGY; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; MAGNETIZATION; MATHEMATICAL MODELS; POTENTIAL ENERGY; PROBABILITY; PROBABILITY DISTRIBUTIONS; SPIN GLASS;

RANDOM MEDIA; REAL SPACE RENORMALIZATION GROUP (RSRG) METHOD; SINAI MODEL;

ENERGY MANAGEMENT;

EID: 0942299305     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2003.10.082     Document Type: Article

References (27)

1. Bouchaud J.P., et al. Young A.P. Spin Glasses and Random Fields. 1998;World Scientific, Singapore, Blatter G., et al. Rev. Mod. Phys. 66:1994;1125.
2. Bouchaud J.P., et al. Young A.P. Spin Glasses and Random Fields. 1998;World Scientific, Singapore, Blatter G., et al. Rev. Mod. Phys. 66:1994;1125.
3. L. Balents, P. Le Doussal, cond-mat/0205358, and references therein.
4. G. Semerjian, L.F. Cugliandolo, cond-mat/0204613.
5. Sinai Y.G. Theor. Probab. Appl. 27:1982;256.
6. Golosov A.O. Commun. Math. Phys. 92:1984;491.
7. Kesten H. Physica A. 138:1986;299.
8. Kesten H., Koslov M., Spitzer F. Compositio Math. 30:1975;145.
9. Shi Zhan Sinai's walk via stochastic calculus. Panoramas et synthèses. Vol. 12:2001;Société Mathématique de France, Paris.
10. Derrida B., Pomeau Y. Phys. Rev. Lett. 48:1982;627 Derrida B. J. Stat. Phys. 31:1983;433.
11. Derrida B., Pomeau Y. Phys. Rev. Lett. 48:1982;627 Derrida B. J. Stat. Phys. 31:1983;433.
12. Bouchaud J.P., Comtet A., Georges A., Le Doussal P. Europhys. Lett. 3:1987;653 Bouchaud J.P., Comtet A., Georges A., Le Doussal P. Ann. Phys. 201:1990;285.
13. Bouchaud J.P., Comtet A., Georges A., Le Doussal P. Europhys. Lett. 3:1987;653 Bouchaud J.P., Comtet A., Georges A., Le Doussal P. Ann. Phys. 201:1990;285.
14. Comtet A., Desbois J., Monthus C. Ann. Phys. 239:1995;312 Monthus C., et al. Phys. Rev. E. 54:1996;231.
15. Comtet A., Desbois J., Monthus C. Ann. Phys. 239:1995;312 Monthus C., et al. Phys. Rev. E. 54:1996;231.
16. Laloux L., Le Doussal P. Phys. Rev. E. 57:1998;6296. cond-mat/9705249, and references therein.
17. Majumdar S.N., Comtet A. Phys. Rev. Lett. 89:2002;060 601.
18. Dasgupta C., Ma S.K. Phys. Rev. B. 22:1980;1305.
19. Fisher D.S. Phys. Rev. B. 50:1994;3799 Fisher D.S. Phys. Rev. B. 51:1995;6411.
20. Fisher D.S. Phys. Rev. B. 50:1994;3799 Fisher D.S. Phys. Rev. B. 51:1995;6411.
21. Fisher D.S., Le Doussal P., Monthus C. Phys. Rev. Lett. 80:1998;3539.
22. Le Doussal P., Monthus C., Fisher D.S. Phys. Rev. E. 59:1999;4795.
23. Monthus C., Le Doussal P. Phys. Rev. E. 65:2002;66 129.
24. Cugliandolo L.F., Dean D.S., Kurchan J. Phys. Rev. Lett. 79:1997;2168-2171.
25. Hu Y. Stoch. Proc. Appl. 86:2000;81-101.
26. Le Doussal P., Monthus C. Physica A. 317:2003;140.
27. Fisher D.S., Le Doussal P., Monthus C. Phys. Rev. E. 64:2001;66 107.