Nonequilibrium phase transitions induced by multiplicative noise: Effects of self-correlation

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

Volumn 61, Issue 1, 2000, Pages 223-232

  Mangioni, Sergio E ^a   Deza, Roberto R ^a   Toral, Raúl ^b   Wio, Horacio S ^c  

^a UNIVERSIDAD NACIONAL DE MAR DEL PLATA   (Argentina)

^b UNIVERSITAT DE LES ILLES BALEARS   (Spain)

^c INSTITUTO BALSEIRO   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

CONDENSED MATTER PHYSICS;

EQUILIBRIUM PHASE TRANSITIONS; MARKOVIAN APPROXIMATION; MULTIPLICATIVE NOISE; NONEQUILIBRIUM PHASE TRANSITIONS; PARAMETER SUBSPACE; SELF-CORRELATION TIME; SPATIAL COUPLINGS; SYMMETRY-BREAKING;

PHASE NOISE;

EID: 0000553446     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.223     Document Type: Article

References (47)

1. R.K. Pathria, Statistical Mechanics, 2nd ed. (Butterworth-Heinemann, Oxford, 1996)
2. J.J. Binney, N.J. Dowrick, A.J. Fisher and M.E.J. Newman, The Theory of Critical Phenomena (Clarendon, Oxford, 1993).
3. W. Horsthemke and M. Malek-Mansour, Z. Phys. B: Condens. Matter 24, 307 (1976)
4. Z. Phys. B: Condens. MatterL. Arnold, W. Horsthemke, and R. Lefever, 29, 367 (1978)
5. W. Horsthemke and R. Lefever, Noise-Induced Transitions: Theory and Applications in Physics, Chemistry and Biology (Springer-Verlag, Berlin, 1984).
6. F. Moss, in Some Problems in Statistical Physics, edited by G. Weiss (SIAM, Philadelphia, 1993)
7. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
8. H.S. Wio, Phys. Rev. E 54, R3075 (1996)
9. H. S. Wio and F. Castelpoggi, in Proceedings of Conference UPoN’96, edited by C.R. Doering, L.B. Kiss, and M. Shlesinger (World Scientific, Singapore, 1997), p. 299
10. F. Castelpoggi and H.S. Wio, Europhys. Lett. 38, 91 (1997).
11. J. García-Ojalvo, A. Hernández-Machado, and J.M. Sancho, Phys. Rev. Lett. 71, 1542 (1993).
12. N.V. Agudov, Phys. Rev. E 57, 2618 (1998).
13. M.O. Magnasco, Phys. Rev. Lett. 71, 1477 (1993)
14. R. Bartussek, P. Hänggi, and J.G. Kissner, Europhys. Lett. 28, 459 (1994)
15. M.M. Millonas and M.I. Dykman, Phys. Lett. A 185, 65 (1994).
16. C. Meunier and A.D. Verga, J. Stat. Phys. 50, 345 (1988)
17. H. Zeghlache, P. Mandel, and C. Van den Broeck, Phys. Rev. A 40, 286 (1989)
18. R.C. Buceta and E. Tirapegui, in Instabilities and Nonequilibrium Structures III, edited by E. Tirapegui and W. Zeller (Kluwer, Dordecht, 1991), p. 171.
19. C.R. Doering, Phys. Lett. A 122, 133 (1987).
20. C. Van den Broeck, J.M.R. Parrondo, and R. Toral, Phys. Rev. Lett. 73, 3395 (1994).
21. C. Van den Broeck, J.M.R. Parrondo, R. Toral, and R. Kawai, Phys. Rev. E 55, 4084 (1997).
22. J. García-Ojalvo, J.M.R. Parrondo, J.M. Sancho, and C. Van den Broeck, Phys. Rev. E 54, 6918 (1996).
23. C. Van den Broeck, J.M.R. Parrondo, J. Armero, and A. Hernández-Machado, Phys. Rev. E 49, 2639 (1994).
24. W. Genovese, M.A. Muñoz, and J.M. Sancho, Phys. Rev. E 57, R2495 (1998).
25. S. Kim, S.H. Park, and C.S. Ryu, Phys. Rev. Lett. 78, 1616 (1997).
26. S. Kim, S.H. Park, C.R. Doering, and C.S. Ryu, Phys. Lett. A 224, 147 (1997).
27. R. Müller, K. Lippert, A. Kühnel, and U. Behn, Phys. Rev. E 56, 2658 (1997).
28. J. García-Ojalvo, A. Lacasta, J.M. Sancho, and R. Toral, Europhys. Lett. 42, 125 (1998).
29. G. Grinstein, M.A. Mun̋oz, and Y. Tu, Phys. Rev. Lett. 76, 4376 (1996).
30. Y. Tu, G. Grinstein, and M.A. Muñoz, Phys. Rev. Lett. 78, 274 (1997).
31. S. Ramaswamy, R. Pandit, and R. Lahiri, Phys. Rev. Lett. 75, 4786 (1995)
32. Phys. Rev. Lett.C. Van den Broeck, J.M.R. Parrondo, and R. Toral, 75, 4787 (1995).
33. A.V. Soldatov, Mod. Phys. Lett. B 7, 1253 (1993).
34. J.M. Sancho and M. San Miguel, in Noise in Nonlinear Dynamical Systems, edited by F. Moss and P.V.E. McClintock (Cambridge University Press, Cambridge, 1989), p. 72.
35. M. Dykman and K. Lindenberg, in Some Problems in Statistical Physics, edited by G. Weiss (SIAM, Philadelphia, 1993), p. 41.
36. P. Hänggi and P. Jung, in Advances in Chemical Physics, Vol. LXXXIX, edited by I. Prigogine and S.A. Rice (Wiley, New York, 1995), p. 239.
37. F. Castro, A.D. Sánchez, and H.S. Wio, Phys. Rev. Lett. 75, 1691 (1995).
38. J. García-Ojalvo, J.M. Sancho, and L. Ramírez-Piscina, Phys. Lett. A 168, 35 (1992).
39. J. García-Ojalvo and J.M. Sancho, Phys. Rev. E 49, 2769 (1994).
40. S. Mangioni, R. Deza, H.S. Wio, and R. Toral, Phys. Rev. Lett. 79, 2389 (1997).
41. P. Jung and P. Hänggi, Phys. Rev. A 35, 4464 (1987)
42. L. H’walisz, P. Jung, P. Hänggi, P. Talkner, and L. Schimansky-Geier, Z. Phys. B: Condens. Matter 77, 471 (1989)
43. P. Hänggi, Chem. Phys. 180, 157 (1994).
44. F. Castro, H.S. Wio, and G. Abramson, Phys. Rev. E 52, 159 (1995).
45. H.S. Wio, P. Colet, M. San Miguel, L. Pesquera, and M. Rodríguez, Phys. Rev. A 40, 7312 (1989).
46. H. Risken, The Fokker-Planck Equation (Springer-Verlag, Berlin, 1989).
47. A. Schlenzle and T. Tél, Phys. Rev. A 32, 596 (1985).