Probing criticality with linearly varying external fields: Renormalization group theory of nonequilibrium critical dynamics under driving

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

Volumn 73, Issue 4, 2006, Pages

  Zhong, Fan ^a  

^a SUN YAT SEN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

GINZBURG-LANDAU EQUATION; NONEQUILIBRIUM HYSTERESIS; RENORMALIZATION GROUP;

NORMAL DISTRIBUTION; NUMERICAL METHODS; PARAMETER ESTIMATION;

NONLINEAR EQUATIONS;

EID: 33645698279     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.047102     Document Type: Article

References (34)

1. R. Kubo, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.12.570 12, 570 (1957).
2. H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford, London, 1971).
3. K. G. Wilson and J. Kogut, Phys. Rep., Phys. Lett. PRPLCM 0370-1573 10.1016/0370-1573(74)90023-4 12, 75 (1974).
4. M. P. Nightingale and H. W. J. Blöte, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.4548 76, 4548 (1996).
5. See also, e. g., R. Folk and G. Moser, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.030601 91, 030601 (2003);
6. J. V. Sengers and M. R. Moldover, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.069601 94, 069601 (2005)
7. K. Jagannathan and A. Yethiraj, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.069602 94, 069602 (2005).
8. F. Zhong, J. X. Zhang, and G. G. Siu, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/6/38/016 6, 7785 (1994);
9. F. Zhong and J. X. Zhang, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51.2898 51, 2898 (1995);
10. F. Zhong, J. X. Zhang, and X. Liu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.1399 52, 1399 (1995).
11. S. Yildiz, Ö. Pekcan, A. N. Berker, and H. Özbek, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.031705 69, 031705 (2004).
12. S. K. Ma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.37.461 37, 461 (1976);
13. R. H. Swendsen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.42. 859 42, 859 (1979).
14. F. Zhong, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.060401 66, 060401 (R) (2002).
15. F. Zhong and Z. Xu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71. 132402 71, 132402 (2005).
16. G. P. Zheng and J. X. Zhang, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.R1187 58, R1187 (1998).
17. F. Zhong and Q. Chen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.175701 95, 175701 (2005).
18. D. J. Amit, Field Theory, the Renormalization Group, and Critical Phenomena, 2nd ed. (World Scientific, Singapore, 1984);
19. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, 3rd ed. (Clarendon, Oxford, 1996).
20. S. Weinberg, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.8.3497 8, 3497 (1973).
21. P. C. Hohenberg and B. I. Halperin, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.49.435 49, 435 (1977).
22. H. K. Janssen, in From Phase Transition to Chaos, edited by, G. Györgyi, I. Kondor, L. Sasvári, and, T. Tél, (World Scientific, Singapore, 1992), and references therein.
23. P. C. Martin, E. D. Siggia, and H. A. Rose, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.8.423 8, 423 (1973).
24. G. 't Hooft and M. Veltman, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(72)90279-9 44, 189 (1972).
25. See P. Calabrese and A. Gambassi, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/18/R01 38, R133 (2005) for a review of aging at criticality.
26. C. De Dominicis and L. Peliti, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.18.353 18, 353 (1978).
27. R. Guida and J. Zinn-Justin, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/31/40/006 31, 8103 (1998).
28. N. V. Antonov and A. N. Vasil'ev, Theor. Math. Phys. TMPHAH 0040-5779 10.1007/BF01018251 60, 671 (1984).
29. M. Kikuchi and N. Ito, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.62.3052 62, 3052 (1993).
30. See, e. g., A. Pelissetto and E. Vecari, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(02)00219-3 368, 549 (2002).
31. A. Hohl, H. J. C van der Linden, R. Roy, G. Goldsztein, F. Broner and S. H. Strogatz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.2220 74, 2220 (1995).
32. B. K. Chakrabarti, H. G. Baumgartel, and D. Stauffer, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01294171 44 (4), 333 (1981);
33. K. Binder and D. P. Landau, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.30.1477 30, 1477 (1984).
34. F. Zhong and J. X. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.2027 75, 2027 (1995).