6533b834fe1ef96bd129cb9c

RESEARCH PRODUCT

Do crossover functions depend on the shape of the interaction profile?

Kurt BinderErik LuijtenErik Luijten

subject

Length scalePhysicsStatistical Mechanics (cond-mat.stat-mech)CrossoverExponentFOS: Physical sciencesGeneral Physics and AstronomyStatistical physicsCondensed Matter - Statistical MechanicsUniversality (dynamical systems)

description

We examine the crossover from classical to non-classical critical behaviour in two-dimensional systems with a one-component order parameter. Since the degree of universality of the corresponding crossover functions is still subject to debate, we try to induce non-universal effects by adding interactions with a second length scale. Although the crossover functions clearly depend on the range of the interactions, they turn out to be remarkably robust against further variation of the interaction profile. In particular, we find that the earlier observed non-monotonic crossover of the effective susceptibility exponent occurs for several qualitatively different shapes of this profile.

10.1209/epl/i1999-00390-9http://arxiv.org/abs/cond-mat/9906218