LOGARITHMIC FINITE-SIZE CORRECTIONS IN THE 3-DIMENSIONAL MEAN SPHERICAL MODEL

Citation
Jg. Brankov et Dm. Danchev, LOGARITHMIC FINITE-SIZE CORRECTIONS IN THE 3-DIMENSIONAL MEAN SPHERICAL MODEL, Journal of statistical physics, 71(3-4), 1993, pp. 775-798
Citations number
15
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00224715
Volume
71
Issue
3-4
Year of publication
1993
Pages
775 - 798
Database
ISI
SICI code
0022-4715(1993)71:3-4<775:LFCIT3>2.0.ZU;2-E
Abstract
The finite-size scaling prediction about logarithmic corrections in th e free energy arising from corners in the geometry of the SyStem is te sted on the three-dimensional mean spherical model. The general case o f boundary conditions which are periodic in d' greater-than-or-equal-t o 0 dimensions and free or fixed in the remaining 3 - d' dimensions is considered. Logarithmic and double-logarithmic size corrections stemm ing from corners, edges, and surfaces are obtained.