Finite-size scaling in anisotropic systems

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

Volumn 75, Issue 3, 2007, Pages

  Tonchev, N S ^a  

^a INSTITUTE OF SOLID STATE PHYSICS   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; BOUNDARY CONDITIONS; FINITE ELEMENT METHOD;

ANISOTROPIC PROPERTIES; D -DIMENSIONAL O(N) SYSTEMS; INTERPARTICLE DISTANCE; PERIODIC BOUNDARY CONDITIONS;

QUANTUM THEORY;

EID: 33947372559     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.031110     Document Type: Article

References (29)

1. J. Cardy, Scaling and Renormalization in Statistical Physics (Cambridge University, Cambridge, England, 1996), p. 58.
2. B. Schmittman and R. K. Zia in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic Press, New York, 1995), Vol. 17.
3. M. Henkel, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(02)00540-0 641, 405 (2002).
4. E. Brézin, J. Phys. (France) JOPQAG 0302-0738 43, 15 (1982).
5. E. Brézin, Ann. N.Y. Acad. Sci. ANYAA9 0077-8923 410, 339 (1983).
6. J. G. Brankov, D. M. Danchev, and N. S. Tonchev, The Theory of Critical Phenomena in Finite-Size Systems-Scaling and Quantum Effects (World Scientific, Singapore, 2000).
7. H. Chamati and N. S. Tonchev, Mod. Phys. Lett. B MPLBET 0217-9849 10.1142/S0217984903006232 17, 1187 (2003).
8. X. S. Chen and V. Dohm, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.056136 70, 056136 (2004);
9. X. S. Chen and V. Dohm, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.059901 71, 059901 (E) (2005).
10. K. Binder and J.-S. Wang, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01042592 55, 87 (1989).
11. K. T. Leung, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.453 66, 453 (1991).
12. K. Leung, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/S0129183192000294 3, 367 (1992).
13. H. Chamati and N. S. Tonchev, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/33/5/305 33, 873 (2000).
14. H. Chamati, D. M. Danchev, and N. S. Tonchev, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510050134 14, 307 (2000).
15. M. Henkel and U. Schollwöck, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/16/301 34, 3333 (2001).
16. A. Hucht, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/35/31/103 35, L481 (2002).
17. S. Caracciolo, A. Gambassi, M. Gubinelli, and A. Pellissetto, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003-00213-5 34, 205 (2003).
18. H. Chamati and N. S. Tonchev, J. Phys. A JPHAC5 0305-4470 39, 469 (2006).
19. J. G. Brankov, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01044439 56, 309 (1989).
20. H. Chamati, Physica A PHYADX 0378-4371 10.1016/0378-4371(94)90338-7 212, 357 (1994).
21. N. S. Tonchev, JINR Dubna, Russia, E17-2005-148, 2005 (unpublished).
22. H. Chamati, E. S. Pisanova, and N. S. Tonchev, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.5798 57, 5798 (1998).
23. T. R. Prabhakar, Yokohama Math. J. ZZZZZZ 0044-0523 19, 7 (1971).
24. R. K. Saxena, A. M. Mathai, and H. J. Haubold, Astrophys. Space Sci. APSSBE 0004-640X 290, 299 (2004).
25. A. A. Kilbas, M. Saigo, and R. K. Saxena, Integral Transforms Spec. Funct. ITSFEQ 1065-2469 15, 31 (2004).
26. D. M. Danchev and J. Rudnick, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510170201 21, 251 (2001).
27. H. Chamati and N. S. Tonchev, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/33/19/101 33, L167 (2000).
28. M. A. Shpot, Yu. M. Pis'mak, and H. D. Diehl, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/17/20/020 17, S1947 (2005).
29. M. Weigel and W. Janke, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.6343 62, 6343 (2000).