6533b829fe1ef96bd128a436

RESEARCH PRODUCT

Nonmonotonical crossover of the effective susceptibility exponent

Henk W. J. BlöteErik LuijtenKurt Binder

subject

PhysicsCondensed matter physicsStatistical Mechanics (cond-mat.stat-mech)Critical phenomenaCrossoverGeneral Physics and AstronomyFOS: Physical sciencesRenormalization groupCondensed Matter - Soft Condensed MatterUniversality (dynamical systems)RenormalizationCritical point (thermodynamics)Soft Condensed Matter (cond-mat.soft)Ising modelStatistical physicsCritical exponentCondensed Matter - Statistical Mechanics

description

We have numerically determined the behavior of the magnetic susceptibility upon approach of the critical point in two-dimensional spin systems with an interaction range that was varied over nearly two orders of magnitude. The full crossover from classical to Ising-like critical behavior, spanning several decades in the reduced temperature, could be observed. Our results convincingly show that the effective susceptibility exponent gamma_eff changes nonmonotonically from its classical to its Ising value when approaching the critical point in the ordered phase. In the disordered phase the behavior is monotonic. Furthermore the hypothesis that the crossover function is universal is supported.

yearjournalcountryeditionlanguage
1997-01-01
https://dx.doi.org/10.48550/arxiv.cond-mat/9706195