Partially asymmetric zero-range process with quenched disorder

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

Volumn 72, Issue 4, 2005, Pages

  Juhász, Róbert ^a   Santen, Ludger ^a   Iglói, Ferenc ^b,c  

^a SAARLAND UNIVERSITY   (Germany)

^b WIGNER RESEARCH CENTRE FOR PHYSICS   (Hungary)

^c UNIVERSITY OF SZEGED   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMMETRIC ZERO-RANGE PROCESS; CONDENSATION PHENOMENON; STEADY STATE;

BROWNIAN MOVEMENT; CHARGED PARTICLES; CONDENSATION; FREQUENCY HOPPING; THERMODYNAMICS;

RANDOM PROCESSES;

EID: 28844464403     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.046129     Document Type: Article

References (49)

1. J. Krug, Braz. J. Phys. BJPHE6 0103-9733 30, 97 (2000).
2. F. Iglói and C. Monthus, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2005.02.006 412, 277 (2005).
3. G. Tripathy and M. Barma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.3039 78, 3039 (1997);
4. G. Tripathy and M. Barma, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.1911 58, 1911 (1998).
5. S. A. Janowsky and J. L. Lebowitz, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45.618 45, 618 (1992);
6. S. A. Janowsky and J. L. Lebowitz, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02186831 77, 35 (1994).
7. For a review, see J. P. Bouchaud and A. Georges, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(90)90099-N 195, 127 (1990).
8. Y. Kafri, D. K. Lubensky, and D. R. Nelson, Biophys. J. BIOJAU 0006-3495 10.1529/biophysj.103.036152 86, 3373 (2004).
9. Y. Kafri, D. K. Lubensky, and D. R. Nelson, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.041906 71, 041906 (2005).
10. For a review, see M. R. Evans and T. Hanney, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/19/R01 38, R195 (2005).
11. F. Spitzer, Adv. Math. ADMTA4 0001-8708 10.1016/0001-8708(70)90034-4 5, 246 (1970).
12. D. Chowdury, L. Santen, and A. Schadschneider, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(99)00117-9 329, 199 (2000).
13. J. Eggers, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.5322 83, 5322 (1999).
14. D. van der Meer, K. van der Weele, and D. Lohse, J. Stat. Mech.: Theory Exp. 1742-5468 2004, P04004.
15. P. L. Krapivsky, S. Redner, and F. Leyvraz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.4629 85, 4629 (2000).
16. G. Bianconi and A. L. Barabási, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.5632 86, 5632 (2001).
17. T. M. Liggett, Stochastic Interacting Systems: Contact, Voter, and Exclusion Processes (Springer, Berlin, 1999).
18. H. Hinrichsen, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730050198152 49, 815 (2000).
19. G. M. Schütz, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic Press, San Diego, 2001), Vol. 19.
20. K. Jain and M. Barma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.135701 91, 135701 (2003).
21. J. Krug and P. A. Ferrari, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/29/18/004 29, L465 (1996).
22. M. R. Evans, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1996-00180-y 36, 13 (1996).
23. R. Juhász, L. Santen, and F. Iglói, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.010601 94, 010601 (2005).
24. C. Enaud and B. Derrida, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-10153-8 66, 83 (2004).
25. R. J. Harris and R. B. Stinchcombe, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.016108 70, 016108 (E) (2004).
26. S. K. Ma, C. Dasgupta, and C.-K. Hu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.43.1434 43, 1434 (1979);
27. C. Dasgupta and S. K. Ma, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.22.1305 22, 1305 (1980).
28. D. S. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.534 69, 534 (1992);
29. D. S. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.6411 51, 6411 (1995).
30. D. S. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.50.3799 50, 3799 (1995).
31. P. Le Doussal, C. Monthus, and D. S. Fisher, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.4795 59, 4795 (1999).
32. J. Hooyberghs, F. Iglói, and C. Vanderzande, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.100601 90, 100601 (2003);
33. J. Hooyberghs, F. Iglói, and C. Vanderzande, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.066140 69, 066140 (2004).
34. Y. Kafri, E. Levine, D. Mukamel, G. M. Schütz, and J. Török, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89. 035702 89, 035702 (2002).
35. R. B. Griffiths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.23.17 23, 17 (1969).
36. H. Kesten, Acta Math. ACMAA8 0001-5962 131, 298 (1973);
37. B. Derrida and H. Hilhorst, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/16/12/013 16, 2641 (1983);
38. C. de Calan, J. M. Luck, T. M. Nieuwenhuizen, and D. Petritis, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/18/3/025 18, 501 (1985).
39. J. Galambos, The Asymptotic Theory of Extreme Order Statistics (John Wiley and Sons, New York, 1978).
40. F. Iglói and H. Rieger, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.11404 57, 11404 (1998).
41. F. Iglói, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65. 064416 65, 064416 (2002).
42. Y. A. G. Sinai, Theor. Probab. Appl. TPRBAU 0040-585X 10.1137/1127028 27, 256 (1982).
43. C. Monthus, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.046109 67, 046109 (2003).
44. D. S. Fisher, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00498-1 263, 222 (1999).
45. S. Großkinsky, G. M. Schütz, and H. Spohn, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1026008532442 113, 389 (2003).
46. E. Ben-Naim, P. L. Krapivsky, and S. Redner, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.822 50, 822 (1994).
47. M. R. Evans, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/14/7/302 14, 1397 (2002).
48. J. M. Luck, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(83)90047-0 225, 169 (1983);
49. D. S. Fisher, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.30.960 30, 960 (1984).