Published April 18, 2003 | Version v1
Journal article

Exact solution of an Ising model with competing interactions on a Cayley tree

  • 1. Department of Mathematics, National University of Uzbekistan, Vuzgorodok 700095, Tashkent (Uzbekistan)
  • 2. Institute of Mathematical Sciences, University of Malaya, 50603 Kuala Lumpur (Malaysia)
  • 3. Centre for Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, 53100 Kuala Lumpur (Malaysia)

Description

The exact solution of an Ising model with competing restricted interactions on the Cayley tree, and in the absence of an external field is presented. A critical curve is defined where it is possible to get phase transitions above it, and a single Gibbs state is obtained elsewhere

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/36/4283/a31505.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
36
Journal Issue
15
Journal Page Range
p. 4283-4289
ISSN
0305-4470
CODEN
JPHAC5

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
34042135
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
EXACT SOLUTIONS; ISING MODEL; LATTICE FIELD THEORY; PHASE TRANSFORMATIONS; TWO-DIMENSIONAL CALCULATIONS
Descriptors DEC
CONSTRUCTIVE FIELD THEORY; CRYSTAL MODELS; FIELD THEORIES; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; QUANTUM FIELD THEORY