Monte Carlo tests of theoretical predictions for critical phenomena: still a problem?

K. Binder; E. Luijten

doi:10.1016/S0010-4655(00)00015-1

Monte Carlo tests of theoretical predictions for critical phenomena: still a problem?

K. Binder^*, E. Luijten

^*Corresponding author for this work

Materials Science and Engineering

Research output: Contribution to journal › Conference article › peer-review

8 Scopus citations

Abstract

Two Monte Carlo studies of critical behavior in ferromagnetic Ising models are described: the first one deals with the crossover from the Ising class to the mean field class, when the interaction range increases. The second study deals with the finite size behavior at dimensionalities above the marginal dimension where Landau theory applies. The numerical results are compared to pertinent theoretical predictions, and unsolved problems are briefly described.

Original language	English (US)
Pages (from-to)	126-130
Number of pages	5
Journal	Computer Physics Communications
Volume	127
Issue number	1
DOIs	https://doi.org/10.1016/S0010-4655(00)00015-1
State	Published - May 1 2000
Event	CCP 99: Computational Physics - Atlanta, GA, USA Duration: Mar 20 1999 → Mar 26 1999

ASJC Scopus subject areas

Hardware and Architecture
Physics and Astronomy(all)

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title = "Monte Carlo tests of theoretical predictions for critical phenomena: still a problem?",

abstract = "Two Monte Carlo studies of critical behavior in ferromagnetic Ising models are described: the first one deals with the crossover from the Ising class to the mean field class, when the interaction range increases. The second study deals with the finite size behavior at dimensionalities above the marginal dimension where Landau theory applies. The numerical results are compared to pertinent theoretical predictions, and unsolved problems are briefly described.",

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AB - Two Monte Carlo studies of critical behavior in ferromagnetic Ising models are described: the first one deals with the crossover from the Ising class to the mean field class, when the interaction range increases. The second study deals with the finite size behavior at dimensionalities above the marginal dimension where Landau theory applies. The numerical results are compared to pertinent theoretical predictions, and unsolved problems are briefly described.

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