Journal article
A Numerical Study of the Hierarchical Ising Model: High Temperature Versus Epsilon Expansion
Journal of statistical physics, Vol.77(3-4), pp.607-626
01/16/1994
DOI: 10.1007/BF02179452
Abstract
J. Stat. Phys. 77, 607, 1994 We study numerically the magnetic susceptibility of the hierarchical model
with Ising spins ($\sigma =\pm 1$) above the critical temperature and for two
values of the epsilon parameter. The integrations are performed exactly, using
recursive methods which exploit the symmetries of the model. Lattices with up
to $2^18$ sites have been used. Surprisingly, the numerical data can be fitted
very well with a simple power law of the form $(1- \beta /\beta _c )^{- \gamma}
$for the {\it whole} temperature range. The numerical values for $\gamma $
agree within a few percent with the values calculated with a high-temperature
expansion but show significant discrepancies with the epsilon-expansion. We
would appreciate comments about these results.
Details
- Title: Subtitle
- A Numerical Study of the Hierarchical Ising Model: High Temperature Versus Epsilon Expansion
- Creators
- Y Meurice - University of IowaG Ordaz - University of IowaV. G. J Rodgers - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of statistical physics, Vol.77(3-4), pp.607-626
- DOI
- 10.1007/BF02179452
- ISSN
- 0022-4715
- eISSN
- 1572-9613
- Language
- English
- Date published
- 01/16/1994
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199665302771
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