6533b7d7fe1ef96bd1268efc
RESEARCH PRODUCT
Monte Carlo investigations of phase transitions: status and perspectives
Kurt BinderNigel B. WildingHenk W. J. BlöteMarcus MüllerErik Luijtensubject
Statistics and ProbabilityPhysicsPhase transitionStatistical Mechanics (cond-mat.stat-mech)Critical phenomenaMonte Carlo methodCrossoverFOS: Physical sciencesRenormalization groupCondensed Matter PhysicsDimension (vector space)Ising modelStatistical physicsScalingCondensed Matter - Statistical Mechanicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-06-01 | Physica A: Statistical Mechanics and its Applications |