このエントリーをはてなブックマークに追加
ID 30222
FullText URL
Author
Abstract

A three-dimensional Ising model with the plaquette-type (next-nearest-neighbor and four-spin) interactions is investigated numerically. This extended Ising model, the so-called gonihedric model, was introduced by Savvidy and Wegner as a discretized version of the interacting (closed) surfaces without surface tension. The gonihedric model is notorious for its slow relaxation to the thermal equilibrium (glassy behavior), which deteriorates the efficiency of the Monte Carlo sampling. We employ the transfer-matrix (TM) method, implementing Novotny's idea, which enables us to treat an arbitrary number of spins N for one TM slice even in three dimensions. This arbitrariness admits systematic finite-size-scaling analyses. Accepting the extended parameter space by Cirillo , we analyzed the (multi-) criticality of the gonihedric model for Nless than or equal to13. Thereby, we found that, as first noted by Cirillo analytically (cluster-variation method), the data are well described by the multicritical (crossover) scaling theory. That is, the previously reported nonstandard criticality for the gonihedric model is reconciled with a crossover exponent and the ordinary three-dimensional-Ising universality class. We estimate the crossover exponent and the correlation-length critical exponent at the multicritical point as phi=0.6(2) and (nu) over dot =0.45(15), respectively.

Keywords
self-avoiding surfaces
critical-behavior
glassy behavior
spin
systems
lattice
dimensions
Note
Digital Object Identifer:10.1103/PhysRevE.70.026120
Published with permission from the copyright holder. This is the institute's copy, as published in Physical Review E, August 2004, Volume 70, Issue 2, Pages 7.
Publisher URL:http://dx.doi.org/10.1103/PhysRevE.70.026120
Direct access to Thomson Web of Science record
Copyright © 2004 The American Physical Society. All rights reserved.
Published Date
2004-8
Publication Title
Physical Review E
Volume
volume70
Issue
issue2
Content Type
Journal Article
language
英語
Refereed
True
DOI
Web of Science KeyUT
Submission Path
electricity_and_magnetism/177