Magnetization distribution in the transverse Ising chain with energy flux

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 67, Issue 5 2, 2003, Pages

  Eisler, V ^a   Racz Z ^a,b   Van Wijland, F ^b  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^b UNIVERSITÉ PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CALCULATIONS; CORRELATION METHODS; HAMILTONIANS; LAGRANGE MULTIPLIERS; MAGNETIC FIELDS; MAGNETIZATION; PROBABILITY DISTRIBUTIONS; QUANTUM THEORY;

ENERGY FLUX; NONEQUILIBRIUM DISTRIBUTION FUNCTIONS; TRANSVERSE ISING CHAIN;

ORDER DISORDER TRANSITIONS;

EID: 42749102746     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (41)

1. B. Schmittmann and R.K.P. Zia, in Phase Transitions and Critical Phenomena, edited by C. Domb and J.L. Lebowitz (Academic Press, New York, 1996).
2. J. Marro and R. Dickman Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, 1999).
3. Z. Rácz, e-print cond-mat/0210435.
4. B. Schmittmann, Europhys. Lett. 24, 109 (1993).
5. K.E. Bassler and Z. Rácz, Phys. Rev. Lett. 73, 1320 (1994)
6. K.E. Bassler and Z. Rácz, Phys. Rev. E 52, 9 (1995).
7. U.C. Täuber, V.K. Akkineni, and J.E. Santos, Phys. Rev. Lett. 88, 045702 (2002).
8. M. Droz, Z. Rácz, and P. Tartaglia, Phys. Rev. A 41, 6621 (1989)
9. B. Bergersen and Z. Rácz, Phys. Rev. Lett. 67, 3047 (1991).
10. G. Foltin, K. Oerding, Z. Rácz, R.L. Workman, and R.K.P. Zia, Phys. Rev. E 50, 3589 (1994)
11. Z. Rácz and M. Plischke, ibid. 50, 3530 (1994).
12. T. Antal, M. Droz, G. Györgyi, and Z. Rácz, Phys. Rev. Lett. 87, 240601 (2001)
13. T. Antal, M. Droz, G. Györgyi, and Z. Rácz, Phys. Rev. E 65, 046140 (2002).
14. S.T. Bramwell, P.C.W. Holdsworth, and J.-F. Pinton, Nature (London) 396, 552 (1998).
15. E. Marinari, A. Pagnani, G. Parisi, and Z. Rácz, Phys. Rev. E 65, 026136 (2002).
16. G. Korniss, Z. Toroczkai, M.A. Novotny, and P.A. Rikvold, Phys. Rev. Lett. 84, 1351 (2000).
17. G. Tripathy and W. van Saarloos, Phys. Rev. Lett. 85, 3556 (2000).
18. T. Antal, Z. Rácz and L. Sasvári, Phys. Rev. Lett. 78, 167 (1997).
19. T. Antal, Z. Rácz, A. Rákos, and G.M. Schütz, Phys. Rev. E 57, 5184 (1998).
20. T. Antal, Z. Rácz, A. Rákos, and G.M. Schütz, Phys. Rev. E 59, 4912 (1999)
21. Z. Rácz, J. Stat. Phys. 101, 273 (2000).
22. J. Cardy and P. Suranyi, Nucl. Phys. B 565, 487 (2000).
23. H.A. Kramers and G.H. Wannier, Phys. Rev. 60, 252 (1941).
24. E. Lieb, T. Schultz, and D. Mattis, Ann. Phys. (N.Y.) 16, 403 (1961).
25. J.W. Negele and H. Orland, Quantum Many-Particle Systems (Perseus Books, Cambridge, MA, 1998).
26. P. Pfeuty, Ann. Phys. (N.Y.) 57, 79 (1970).
27. C. Lanczos, J. Res. Natl. Bur. Stand. 45, 255 (1950)
28. J.K. Cullum and R.A. Willoughby, Lanczos Algorithms for Large Symmetric Eigenvalue Computations (Birkhäuser, Boston 1985).
29. P. Archambault, S.T. Bramwell, and P.C.W. Holdsworth, J. Phys. A 35, 1231 (2002).
30. S.T. Bramwell, J.-Y. Fortin, P.C.W. Holdsworth, S. Peysson, J.-F. Pinton, B. Portelli, and M. Sellitto, Phys. Rev. E 63, 041106 (2001).
31. V. Privman, in Finite Size Scaling and Numerical Simulation of Statistical Physics, edited by V. Privman (World Scientific, Singapore, 1990).
32. B.M. McCoy and T.T. Wu, The Two Dimensional Ising Model (Harvard University Press, Cambridge, MA, 1973).
33. Exotic boundary conditions (Moebius strip, Klein bottle) for the d = 2 Ising model have been studied in K. Kaneda and Y. Okabe, Phys. Rev. Lett. 86, 2134 (2001).
34. W.T. Lu and F.Y. Wu, Phys. Rev. E 63, 026107 (2001).
35. C.-K. Hu, C.-Y. Lin, and J.-A. Chen, Phys. Rev. Lett. 75, 193 (1995).
36. E. Barouch and B.M. McCoy, Phys. Rev. A 2, 786 (1971).
37. M. Bander and C. Itzykson, Phys. Rev. D 15, 463 (1977).
38. T.T. Wu, B. McCoy, C.A. Tracy, and E. Barouch, Phys. Rev. B 13, 316 (1976).
39. T.T. Wu, Phys. Rev. 149, 380 (1966).
40. V. Eisler and F. van Wijland (Unpublished).
41. B. Derrida, J.L. Lebowitz, and E.R. Speer, J. Stat. Phys. 107, 599 (2002).