Published April 1, 2002 | Version v1
Journal article

Randomly dilute Ising model: A nonperturbative approach

  • 1. Laboratoire de Physique Theorique et Hautes Energies, CNRS UMR 7589, Universite Pierre et Marie Curie Paris 6, 4 place Jussieu, 75252 Paris, Cedex 05 (France)
  • 2. Groupe de Physique des Solides, CNRS UMR 7588, Universites Pierre et Marie Curie Paris 6 et Denis Diderot Paris 7, 2 place Jussieu, 75251 Paris, Cedex 05 (France)

Description

The N-vector cubic model relevant, among others, to the physics of the randomly dilute Ising model is analyzed in arbitrary dimension by means of an exact renormalization-group equation. This study provides a unified picture of its critical physics between two and four dimensions. We give the critical exponents for the three-dimensional randomly dilute Ising model that are in good agreement with experimental and numerical data. The relevance of the cubic anisotropy in the O(N) model is also treated

Additional details

Publishing Information

Journal Title
Physical Review. B, Condensed Matter and Materials Physics
Journal Volume
65
Journal Issue
14
Journal Page Range
p. 140402-140402.4
ISSN
1098-0121

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
35094133
Subject category
S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; S36: MATERIALS SCIENCE; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Resource subtype / Literary indicator
Numerical Data
Descriptors DEI
ANISOTROPY; DYNAMICS; EQUATIONS; ISING MODEL; NUMERICAL DATA; RENORMALIZATION; SPIN; THREE-DIMENSIONAL CALCULATIONS; VECTORS
Descriptors DEC
ANGULAR MOMENTUM; CRYSTAL MODELS; DATA; INFORMATION; MATHEMATICAL MODELS; MECHANICS; PARTICLE PROPERTIES; TENSORS

Optional Information

Notes
(c) 2002 The American Physical Society