6533b85bfe1ef96bd12bb59a
RESEARCH PRODUCT
Crossover scaling in two dimensions
Kurt BinderErik LuijtenHenk W. J. Blötesubject
Condensed Matter::Quantum GasesStatistical Mechanics (cond-mat.stat-mech)Monte Carlo methodCrossoverFOS: Physical sciencesCondensed Matter - Soft Condensed MatterReduced propertiesCover (topology)Soft Condensed Matter (cond-mat.soft)Statistical physicsCritical exponentScalingCondensed Matter - Statistical MechanicsInteraction rangeVariable (mathematics)Mathematicsdescription
We determine the scaling functions describing the crossover from Ising-like critical behavior to classical critical behavior in two-dimensional systems with a variable interaction range. Since this crossover spans several decades in the reduced temperature as well as in the finite-size crossover variable, it has up to now largely evaded a satisfactory numerical determination. Using a new Monte Carlo method, we could obtain accurate results for sufficiently large interactions ranges. Our data cover the full crossover region both above and below the critical temperature and support the hypothesis that the crossover functions are universal. Also the so-called effective exponents are discussed and we show that these can vary nonmonotonically in the crossover region.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-06-25 |