Monte Carlo investigations of phase transitions: status and perspectives

Kurt Binder, Erik Luijten, Marcus Müller, Nigel B. Wilding, Henk W J Blöte

Research output: Contribution to journalConference article

23 Scopus citations

Abstract

Using the concept of finite-size scaling, Monte Carlo calculations of various models have become a very useful tool for the study of critical phenomena, with the system linear dimension as a variable. As an example, several recent studies of Ising models are discussed, as well as the extension to models of polymer mixtures and solutions. It is shown that using appropriate cluster algorithms, even the scaling functions describing the crossover from the Ising universality class to the mean-field behavior with increasing interaction range can be described. Additionally, the issue of finite-size scaling in Ising models above the marginal dimension (d* = 4) is discussed.

Original languageEnglish (US)
Pages (from-to)112-128
Number of pages17
JournalPhysica A: Statistical Mechanics and its Applications
Volume281
Issue number1
DOIs
StatePublished - Jun 15 2000
Event5th Taiwan International Symposium on Statistical Physics (StatPhys-Taiwan-1999) - Taipei, Taiwan
Duration: Aug 9 1999Aug 12 1999

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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