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29 March 2024
 
  » arxiv » cond-mat/0101054

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Finite-size scaling for the Ising model on the Moebius strip and the Klein bottle
Kazuhisa Kaneda ; Yutaka Okabe ;
Date 5 Dec 2000
Journal Phys. Rev. Lett. 86, 2134-2137 (2001)
Subject Statistical Mechanics | cond-mat.stat-mech
AbstractWe study the finite-size scaling properties of the Ising model on the Moebius strip and the Klein bottle. The results are compared with those of the Ising model under different boundary conditions, that is, the free, cylindrical, and toroidal boundary conditions. The difference in the magnetization distribution function $p(m)$ for various boundary conditions is discussed in terms of the number of the percolating clusters and the cluster size. We also find interesting aspect-ratio dependence of the value of the Binder parameter at $T=T_c$ for various boundary conditions. We discuss the relation to the finite-size correction calculations for the dimer statistics.
Source arXiv, cond-mat/0101054
Other source [GID 190775] pmid11289873
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