Stationary correlations for a far-from-equilibrium spin chain

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 4, 2002, Pages 7-

  Schmittmann, B ^a   Schmuser F ^b  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

SPIN CHAIN; SPIN ORDER; STATIONARY DISTRIBUTIONS; THERMAL EQUILIBRIUM;

BOUNDARY CONDITIONS; CRYSTAL LATTICES; EIGENVALUES AND EIGENFUNCTIONS; EQUATIONS OF MOTION; TEMPERATURE DISTRIBUTION;

STATISTICAL MECHANICS;

ARTICLE;

EID: 41349110204     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.046130     Document Type: Article

References (47)

1. E. Ising, Z. Phys. 31, 253 (1925);
2. L. Onsager, Phys. Rev. 65, 117 (1944);
3. L. OnsagerNuovo Cimento, Suppl. 6, 261 (1949);B.M. McCoy and T.T. Wu, The Two-Dimensional Ising Model (Harvard University Press, Cambridge, MA, 1973).
4. P.L. Garrido, J.L. Lebowitz, C. Maes, and H. Spohn, Phys. Rev. A 42, 1954 (1990);
5. C. Maes, J. Stat. Phys. 61, 667 (1990);
6. Z. Cheng, P.L. Garrido, J.L. Lebowitz, and J.L. Vallés, Europhys. Lett. 14, 507 (1991);
7. C. Maes and F. Redig, J. Phys. I 1, 669 (1991);
8. C. MaesF. RedigJ. Phys. A 24, 4359 (1991).
9. T.L. Hill, J. Chem. Phys. 76, 1122 (1982);
10. P.L. Garrido and J. Marro, J. Phys. A 254, 1453 (1992).
11. H.W.J. Blöte, J.R. Heringa, A. Hoogland, and R.K.P. Zia, J. Phys. A 23, 3799 (1990);
12. H.W.J. BlöteJ.R. HeringaA. HooglandR.K.P. ZiaInt. J. Mod. Phys. B 5, 685 (1991).
13. J.-S. Wang, K. Binder, and J.L. Lebowitz, J. Stat. Phys. 56, 783 (1989);
14. M. Droz, Z. Rácz, and J. Schmidt, Phys. Rev. A 39, 2141 (1989).
15. S. Katz, J.L. Lebowitz, and H. Spohn, Phys. Rev. B 28, 1655 (1983);
16. S. KatzJ.L. LebowitzH. SpohnJ. Stat. Phys. 34, 497 (1984).
17. B. Schmittmann and R.K.P. Zia, Statistical Mechanics of Driven Diffusive Systems, edited by C. Domb and J.L. Lebowitz, Phase Transitions and Critical Phenomena Vol. 17 (Academic Press, London, 1995).
18. For reviews, see, e.g., R. Schmitz, Phys. Rep. 171, 1 (1988);
19. J.R. Dorfman, T.R. Kirkpatrick, and J.V. Sengers, Annu. Rev. Phys. Chem. 45, 213 (1994).
20. F. Bonetto, J.L. Lebowitz, and L. Rey-Bellet, Fourier Law: A Challenge to Theorists, in Mathematical Physics 2000 (Imperial College Press, London, 2000).
21. H. Spohn, J. Phys. A 16, 4275 (1983);
22. H.C. Fogedby and A. Svane, Phys. Rev. B 42, 1056 (1990);
23. J.V. Andersen and O.G. Mouritsen, Phys. Rev. Lett. 65, 440 (1990).
24. B. Schmittmann and R.K.P. Zia, Phys. Rev. Lett. 66, 357 (1991);
25. B. Schmittmann, Europhys. Lett. 24, 109 (1993).
26. H.K. Janssen and B. Schmittmann, Z. Phys. B: Condens. Matter 64, 503 (1986);
27. K.t. Leung and J.L. Cardy, J. Stat. Phys. 44, 567 (1986);
28. J. Stat. Phys.K.t. LeungJ.L. Cardy45, 1087(E) (1986).
29. U.C. Täuber, V.K. Akkineni, and J.E. Santos, Phys. Rev. Lett. 88, 045702 (2002).
30. G. Grinstein, C. Jayaprakash, and Y. He, Phys. Rev. Lett. 55, 2527 (1985);
31. Phys. Rev. Lett.K.E. Bassler and B. Schmittmann, 73, 3343 (1994).
32. F. Schmüser and B. Schmittmann, J. Phys. A 35, 2569 (2002).
33. R.J. Glauber, J. Math. Phys. 44, 294 (1963);
34. B.U. Felderhof, Rep. Math. Phys. 1, 215 (1971);
35. Rep. Math. Phys.B.U. Felderhof2, 151 (1971).
36. Z. Racz and R.K.P. Zia, Phys. Rev. E 49, 139 (1993).
37. G. Schütz, Exactly Solvable Models for Many-body Systems Far from Equilibrium, edited by C. Domb and J.L. Lebowitz, Phase Transitions and Critical Phenomena Vol. 19 (Academic Press, London, 2000).
38. Nonequilibrium Statistical Mechanics in One Dimension, edited by V. Privman (Cambridge University Press, Cambridge, England, 1997).
39. B. Derrida, J.L. Lebowitz, and E.R. Speer, Phys. Rev. Lett. 87, 150601 (2001);
40. Phys. Rev. Lett.B. DerridaJ.L. LebowitzE.R. Speer89, 030601 (2002).
41. M. Hastings and E. Ben-Naim (private communication).
42. F. Schmüser and W. Just, J. Stat. Phys. 105, 525 (2001).
43. R.K.P. Zia and T. Blum, in Scale Invariance, Interfaces and Non-equilibrium Dynamics, edited by M. Droz, A.J. McKane, J. Vannimenus, and D.E. Wolf (Plenum, New York, 1995);
44. R.K.P. Zia, L.B. Shaw, B. Schmittmann, and R.J. Astalos, Comput. Phys. Commun. 127, 23 (2000).
45. D.E. Bedeaux, K.E. Shuler, and I. Oppenheim, J. Stat. Phys. 2, 1 (1970).
46. H.J. Hilhorst (private communication).
47. H.J. Hilhorst, B. Schmittmann, and R.K.P. Zia (unpublished).