Short-time critical dynamics and aging phenomena in the two-dimensional XY model

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

Volumn 75, Issue 4, 2007, Pages

  Lei, X W ^a,b   Zheng, B ^a  

^a ZHEJIANG UNIVERSITY   (China)

^b CHONGQING UNIVERSITY OF ARTS AND SCIENCES   (China)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CORRELATION METHODS; FUNCTION EVALUATION; MONTE CARLO METHODS; RELAXATION PROCESSES;

CORRELATION FUNCTION; DYNAMIC RELAXATION; SPATIAL CORRELATION;

AGING OF MATERIALS;

EID: 34247105860     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.040104     Document Type: Article

References (40)

1. H. K. Janssen, B. Schaub, and B. Schmittmann, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01319383 73, 539 (1989).
2. D. A. Huse, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.40.304 40, 304 (1989).
3. K. Humayun and A. J. Bray, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/24/8/030 24, 1915 (1991).
4. D. Stauffer, Physica A PHYADX 0378-4371 10.1016/0378-4371(92)90375-Z 186, 197 (1992).
5. N. Ito, Physica A PHYADX 0378-4371 10.1016/0378-4371(93)90036-4 196, 591 (1993).
6. Z. B. Li, U. Ritschel, and B. Zheng, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/27/21/009 27, L837 (1994).
7. For a review, see B. Zheng, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S021797929800288X 12, 1419 (1998).
8. H. J. Luo, L. Schülke, and B. Zheng, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.180 81, 180 (1998).
9. B. Zheng, M. Schulz, and S. Trimper, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.1891 82, 1891 (1999).
10. B. Zheng, F. Ren, and H. Ren, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.046120 68, 046120 (2003).
11. Y. Ozeki and N. Ito, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68. 054414 68, 054414 (2003).
12. E. Granato and D. Dominguez, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.094521 71, 094521 (2005).
13. Q. M. Nie, M. B. Luo, and Q. H. Chen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.024523 74, 024523 (2006).
14. M. Pleimling and F. Iglói, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.145701 92, 145701 (2004).
15. M. Pleimling and F. Iglói, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.094424 71, 094424 (2005).
16. E. V. Albano and G. Saracco, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.145701 88, 145701 (2002).
17. B. C. S. Grandi and W. Figueiredo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.056109 70, 056109 (2004).
18. J. Q. Yin, B. Zheng, and S. Trimper, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.056134 70, 056134 (2004).
19. K. Laneri, A. F. Rozenfeld, and E. V. Albano, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.065105 72, 065105 (R) (2005).
20. Y. Ozeki and K. Ogawa, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71. 220407 71, 220407 (2005).
21. E. Arashiro, J. R. Drugowich de Felicio, and U. H. E. Hansmann, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.040902 73, 040902 (R) (2006).
22. S. Z. Lin, B. Zheng, and S. Trimper, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.066106 73, 066106 (2006).
23. H. K. Lee and Y. Okabe, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.015102 71, 015102 (R) (2005).
24. J. Q. Yin, B. Zheng, and S. Trimper, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.036122 72, 036122 (2005).
25. J.-P. Bouchaud, L. F. Cugliandolo, J. Kurchan, and M. Mézard, in Spin Glasses and Random Fields, edited by, A. P. Young, (World Scientific, Singapore, 1998).
26. C. Godrèche and J. M. Luck, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/14/7/316 14, 1589 (2002).
27. M. Henkel, M. Paessens, and M. Pleimling, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.056109 69, 056109 (2004).
28. A. Picone and M. Henkel, Nucl. Phys. B NUPBBO 0550-3213 10.1016/j.nuclphysb.2004.03.028 688, 217 (2004).
29. G. Schehr and R. Paul, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72. 016105 72, 016105 (2005).
30. M. Pleimling and A. Gambassi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.180401 71, 180401 (R) (2005).
31. P. Calabrese and A. Gambassi, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/18/R01 38, R133 (2005).
32. V. L. Berezinskii, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 59, 207 (1970).
33. J. M. Kosterlitz and D. J. Thouless, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/6/7/010 6, 1181 (1973).
34. A. J. Bray, A. J. Briant, and D. K. Jervis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.1503 84, 1503 (2000).
35. L. Berthier, P. C. W. Holdsworth, and M. Sellitto, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/9/301 34, 1805 (2001).
36. S. Abriet and D. Karevskia, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2004-00029-9 37, 47 (2004).
37. R. Gupta and C. F. Baillie, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.2883 45, 2883 (1992).
38. B. Zheng, M. Schulz, and S. Trimper, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.R1351 59, R1351 (1999).
39. Y. Tomita and Y. Okabe, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.184405 65, 184405 (2002).
40. G. Ramirez-Santiago and J. V. José, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49.9567 49, 9567 (1994).