6533b872fe1ef96bd12d4410

RESEARCH PRODUCT

Nature of crossover from classical to Ising-like critical behavior

Erik LuijtenKurt Binder

subject

Statistical Mechanics (cond-mat.stat-mech)CrossoverFOS: Physical sciencesCondensed Matter - Soft Condensed MatterCover (topology)Critical point (thermodynamics)ExponentSoft Condensed Matter (cond-mat.soft)Ising modelStatistical physicsCritical exponentScalingCondensed Matter - Statistical MechanicsMathematics

description

We present an accurate numerical determination of the crossover from classical to Ising-like critical behavior upon approach of the critical point in three-dimensional systems. The possibility to vary the Ginzburg number in our simulations allows us to cover the entire crossover region. We employ these results to scrutinize several semi-phenomenological crossover scaling functions that are widely used for the analysis of experimental results. In addition we present strong evidence that the exponent relations do not hold between effective exponents.

https://doi.org/10.1103/physreve.58.r4060