Published November 21, 1996 | Version v1
Journal article

Renormalized coupling constant in the Ising model

  • 1. Theoretical Division, Los Alamos National Laboratory, University of California, Los Alamos, NM (United States)
  • 2. Department of Physics, Toho University, Miyama, Funabashi, Chiba (Japan)

Description

The three-dimensional Ising model is studied by means of the wendsen-Wang, cluster, Monte Carlo method. The simulations are performed on finite sized systems up to the 96-cube, and the renormalized coupling constant is estimated to be g*=25.0(5). We make further arguments and computations and say that g*≥g-circumflex and 4.5 > or approx. -circumflex < or approx. 5.4 so that g*>0 which implies the validity of hypescaling. The Josephson hyperscaling relation also appears to hold. We give estimates for some of the critical indices. (author)

Availability note (English)

Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
29
Journal Issue
22
Journal Page Range
p. 7183-7197
ISSN
0305-4470

INIS

Country of Publication
United Kingdom
Country of Input or Organization
Bulgaria
INIS RN
32066381
Subject category
S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
Descriptors DEI
COMPUTERIZED SIMULATION; ISING MODEL; MONTE CARLO METHOD; RENORMALIZATION; THREE-DIMENSIONAL CALCULATIONS
Descriptors DEC
CALCULATION METHODS; CRYSTAL MODELS; MATHEMATICAL MODELS; SIMULATION