Parametric phase transition in one dimension

Europhysics Letters

Volumn 54, Issue 4, 2001, Pages 411-416

  Farago, J ^a   Van Den Broeck, C ^b  

^a LABORATOIRE DE PHYSIQUE STATISTIQUE   (France)

^b HASSELT UNIVERSITY   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035795480     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2001-00256-8     Document Type: Article

References (18)

1. ONSAGER L., Phys. Rev., 65 (1944) 117.
2. See, e.g., MARRO J. and DICKMAN R., Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge) 1999 and references cited therein.
3. PRIVMAN V., Nonequilibrium Statistical Mechanics in One Dimension (Cambridge University Press, Cambridge) 1997.
4. VAN DEN BROECK C. and KAWAI R., Phys. Rev. E, 57 (1998) 3866. Note that the model can also be solved in the mean-field approximation including inertia, cf. BENA I. and VAN DEN BROECK C., Europhys. Lett., 48 (1999) 498.
5. VAN DEN BROECK C. and KAWAI R., Phys. Rev. E, 57 (1998) 3866. Note that the model can also be solved in the mean-field approximation including inertia, cf. BENA I. and VAN DEN BROECK C., Europhys. Lett., 48 (1999) 498.
6. VAN DEN BROECK C., PARRONDO J. M. R. and TORAL R., Phys. Rev. Lett., 73 (1994) 3395; PARRONDO J. M. R., VAN DEN BROECK C., BUCETA J. and DE LA RUBIA F. J., Physica A, 224 (1996) 153; GARCÍA-OJALVO J., PARRONDO J. M. R., SANCHO J. M., and VAN DEN BROECK C., Phys. Rev. E, 54 (1996) 6918; PARRONDO J. M. R., TORAL R. and KAWAI R., Phys. Rev. E, 55 (1997) 4084.
7. VAN DEN BROECK C., PARRONDO J. M. R. and TORAL R., Phys. Rev. Lett., 73 (1994) 3395; PARRONDO J. M. R., VAN DEN BROECK C., BUCETA J. and DE LA RUBIA F. J., Physica A, 224 (1996) 153; GARCÍA-OJALVO J., PARRONDO J. M. R., SANCHO J. M., and VAN DEN BROECK C., Phys. Rev. E, 54 (1996) 6918; PARRONDO J. M. R., TORAL R. and KAWAI R., Phys. Rev. E, 55 (1997) 4084.
8. VAN DEN BROECK C., PARRONDO J. M. R. and TORAL R., Phys. Rev. Lett., 73 (1994) 3395; PARRONDO J. M. R., VAN DEN BROECK C., BUCETA J. and DE LA RUBIA F. J., Physica A, 224 (1996) 153; GARCÍA-OJALVO J., PARRONDO J. M. R., SANCHO J. M., and VAN DEN BROECK C., Phys. Rev. E, 54 (1996) 6918; PARRONDO J. M. R., TORAL R. and KAWAI R., Phys. Rev. E, 55 (1997) 4084.
9. VAN DEN BROECK C., PARRONDO J. M. R. and TORAL R., Phys. Rev. Lett., 73 (1994) 3395; PARRONDO J. M. R., VAN DEN BROECK C., BUCETA J. and DE LA RUBIA F. J., Physica A, 224 (1996) 153; GARCÍA-OJALVO J., PARRONDO J. M. R., SANCHO J. M., and VAN DEN BROECK C., Phys. Rev. E, 54 (1996) 6918; PARRONDO J. M. R., TORAL R. and KAWAI R., Phys. Rev. E, 55 (1997) 4084.
10. GARCÍA-OJALVO J. and SANCHO J.M., Noise in Spatially Extended Systems (Springer, New York) 1999.
11. BECKER A. and KRAMER L., Phys. Rev. Lett., 73 (1994) 955; GRINSTEIN G., MUNOZ M. A. and YUHAI T., Phys. Rev. Lett., 76 (1996) 4376.
12. BECKER A. and KRAMER L., Phys. Rev. Lett., 73 (1994) 955; GRINSTEIN G., MUNOZ M. A. and YUHAI T., Phys. Rev. Lett., 76 (1996) 4376.
13. NAYFEH A., Perturbation Methods (Wiley) 1973.
14. DYSON F. J., Phys. Rev., 92 (1953) 1331.
15. LIEB E. H. and MATTIS D. C., Mathematical Physics in One Dimension. Exactly Soluble Models of Interacting Particles (Academic, New York) 1966.
16. HORI J. and MATSUDA H., Prog. Theor. Phys., 32 (1964) 183.
17. This includes the assumption that no macroscopic correlations appear between this quantity and yo.
18. SCHMIDT H., Phys. Rev., 105 (1957) 425.