DYNAMIC EXPONENT OF THE 2-DIMENSIONAL ISING-MODEL AND MONTE-CARLO COMPUTATION OF THE SUBDOMINANT EIGENVALUE OF THE STOCHASTIC MATRIX

Authors
NIGHTINGALE MP BLOTE HWJ
Citation
Mp. Nightingale et Hwj. Blote, DYNAMIC EXPONENT OF THE 2-DIMENSIONAL ISING-MODEL AND MONTE-CARLO COMPUTATION OF THE SUBDOMINANT EIGENVALUE OF THE STOCHASTIC MATRIX, Physical review letters, 76(24), 1996, pp. 4548-4551
Citations number
31
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
76
Issue
24
Year of publication
1996
Pages
4548 - 4551
Database
ISI
SICI code
0031-9007(1996)76:24<4548:DEOT2I>2.0.ZU;2-1
Abstract
We introduce a novel variance-reducing Monte Carlo algorithm for accur ate determination of correlation times. We apply this method to two-di mensional Ising systems with sizes up to 15 x 15, using single-spin fl ip dynamics, random site selection, and transition probabilities accor ding to the heat-bath method. From a finite-size scaling analysis of t hese correlation times, the dynamic critical exponent z is determined as z = 2.1665(12).