Crossover critical behavior in the three-dimensional Ising model

Details Crossover critical behavior in the three-dimensional Ising model Crossover critical behavior in the three-dimensional Ising model

2002-03-08

arxiv.org/abs/cond-mat/0203190v1

J. Stat. Phys. Vol. 110, 591-609 (2003)

Physics

Condensed Matter

Statistical Mechanics

10 pages in two-column format including 9 figures and 1 table. Submitted to J. Stat. Phys. in honor of M. E. Fisher's 70th bir

Scientific paper

The character of critical behavior in physical systems depends on the range of interactions. In the limit of infinite range of the interactions, systems will exhibit mean-field critical behavior, i.e., critical behavior not affected by fluctuations of the order parameter. If the interaction range is finite, the critical behavior asymptotically close to the critical point is determined by fluctuations and the actual critical behavior depends on the particular universality class. A variety of systems, including fluids and anisotropic ferromagnets, belongs to the three-dimensional Ising universality class. Recent numerical studies of Ising models with different interaction ranges have revealed a spectacular crossover between the asymptotic fluctuation-induced critical behavior and mean-field-type critical behavior. In this work, we compare these numerical results with a crossover Landau model based on renormalization-group matching. For this purpose we consider an application of the crossover Landau model to the three-dimensional Ising model without fitting to any adjustable parameters. The crossover behavior of the critical susceptibility and of the order parameter is analyzed over a broad range (ten orders) of the scaled distance to the critical temperature. The dependence of the coupling constant on the interaction range, governing the crossover critical behavior, is discussed

Affiliated with

Also associated with

No associations

Rating

Crossover critical behavior in the three-dimensional Ising model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Crossover critical behavior in the three-dimensional Ising model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Crossover critical behavior in the three-dimensional Ising model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-267762