Published July 21, 2008 | Version v1
Journal article

Critical exponents in D dimensions for the Ising model, subsuming Zhang's proposals for D=3

  • 1. Department of Marine Science, Texas A and M University at Galveston, Galveston, TX (United States)
  • 2. Oxford University, Oxford, England (United Kingdom)
  • 3. Department of Physics, University of Antwerp, Antwerp (Belgium)

Description

Zhang has recently proposed critical exponents of the Ising model for dimensionality D=3. We have set up a D-dimensional result for the critical exponent δ(D) which embraces Zhang's value for D=3 as well as known values for D=1, 2 and 4. Scaling relations yield further critical exponents as a function of D. Finally, a critical exponent defined for random walks is treated

Availability note (English)

Available from http://dx.doi.org/10.1016/j.physleta.2008.04.073

Additional details

Identifiers

DOI
10.1016/j.physleta.2008.04.073;
PII
S0375-9601(08)00733-0;

Publishing Information

Journal Title
Physics Letters. A
Journal Volume
372
Journal Issue
30
Journal Page Range
p. 5052-5053
ISSN
0375-9601
CODEN
PYLAAG

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40046607
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
Descriptors DEI
FUNCTIONS; GRAPH THEORY; ISING MODEL; MANY-DIMENSIONAL CALCULATIONS; RANDOMNESS; SCALING
Descriptors DEC
CRYSTAL MODELS; MATHEMATICAL MODELS; MATHEMATICS

Optional Information

Copyright
Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.