Scaling of hysteresis loops at phase transitions into a quasiabsorbing state

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

Volumn 77, Issue 3, 2008, Pages

  Takeuchi, Kazumasa A ^a,b  

^a UNIVERSITY OF TOKYO   (Japan)

^b SERVICE DE PHYSIQUE DE L ETAT CONDENSÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; LIQUID CRYSTALS; PHASE TRANSITIONS; THRESHOLD VOLTAGE;

LIQUID CRYSTAL CONVECTION; QUASIABSORBING STATE;

HYSTERESIS LOOPS;

EID: 40949095221     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.030103     Document Type: Article

References (26)

1. H. Hinrichsen, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730050198152 49, 815 (2000).
2. H. K. Janssen, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01319549 42, 151 (1981).
3. P. Grassberger, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01313803 47, 365 (1982).
4. K. A. Takeuchi, M. Kuroda, H. Chaté, and M. Sano, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.234503 99, 234503 (2007).
5. Y. Pomeau, Physica D PDNPDT 0167-2789 10.1016/0167-2789(86)90104-1 23, 3 (1986).
6. S. Kai, W. Zimmermann, M. Andoh, and N. Chizumi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.1111 64, 1111 (1990).
7. S. Kai (private communication).
8. T. E. Harris, Ann. Probab. APBYAE 0091-1798 10.1214/aop/1176996493 2, 969 (1974).
9. R. Dickman, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.R2441 60, R2441 (1999).
10. S. Lübeck, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S0217979204027748 18, 3977 (2004).
11. See EPAPS Document No. E-PLEEE8-77-R11802 for movies of hysteresis in simulations (move S1) and in experiments (movie S2). For more information on EPAPS, see http://www.aip.org/pubservs/epaps.html.
12. P. Grassberger and A. de la Torre, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(79)90207-0 122, 373 (1979).
13. P. Grassberger and Y. C. Zhang, Physica A PHYADX 0378-4371 10.1016/0378-4371(95)00321-5 224, 169 (1996);
14. C. A. Voigt and R. M. Ziff, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.R6241 56, R6241 (1997).
15. I. Jensen, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/32/28/304 32, 5233 (1999).
16. I. Dornic, H. Chaté, J. Chave, and H. Hinrichsen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.045701 87, 045701 (2001).
17. P. Rupp, R. Richter, and I. Rehberg, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.036209 67, 036209 (2003).
18. D. E. Lucchetta, N. Scaramuzza, G. Strangi, and C. Versace, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.610 60, 610 (1999).
19. N. Oikawa, Y. Hidaka, and S. Kai, Prog. Theor. Phys. Suppl. PTPSEP 0375-9687 161, 320 (2006).
20. W. F. Vinen and R. J. Donnelly, Phys. Today PHTOAD 0031-9228 60 (4), 43 (2007);
21. W. F. Vinen and J. J. Niemela, J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1019695418590 128, 167 (2002).
22. J. Jäger, B. Schuderer, and W. Schoepe, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.566 74, 566 (1995).
23. D. I. Bradley, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/s10909-005- 2240-0 138, 493 (2005).
24. N. Hashimoto, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/s10909-007- 9388-8 148, 299 (2007).
25. For a brief review, see R. Hänninen, M. Tsubota, and W. F. Vinen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.064502 75, 064502 (2007).
26. M. Niemetz and W. Schoepe, J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/B:JOLT.0000029507.98543.1d 135, 447 (2004).