Phys. Rev. E 70, 056136 (2004) [7 pages]Nonuniversal finite-size scaling in anisotropic systemsSee Also: Erratum Received 22 April 2004; published 30 November 2004 We study the bulk and finite-size critical behavior of the O(n) symmetric φ4 theory with spatially anisotropic interactions of noncubic symmetry in d<4 dimensions. In such systems of a given (d,n) universality class, two-scale factor universality is absent in bulk correlation functions, and finite-size scaling functions including the Privman-Fisher scaling form of the free energy, the Binder cumulant ratio, and the Casimir amplitude are shown to be nonuniversal. In particular it is shown that, for anisotropic confined systems, isotropy cannot be restored by an anisotropic scale transformation. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.70.056136
DOI:
10.1103/PhysRevE.70.056136
PACS:
64.60.−i, 05.70.Jk, 75.40.−s
See AlsoErratum: X. S. Chen and V. Dohm, Erratum: Nonuniversal finite-size scaling in anisotropic systems [Phys. Rev. E 70, 056136 (2004)], Phys. Rev. E 71, 059901 (2005). |
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.