Crossover scaling in two dimensions

Details Crossover scaling in two dimensions Crossover scaling in two dimensions

1997-06-25

arxiv.org/abs/cond-mat/9706257v1

Phys. Rev. E 56, 6540 (1997)

Physics

Condensed Matter

Statistical Mechanics

24 pages RevTeX 3.0/3.1, including 22 PostScript figures. Uses epsf.sty

Scientific paper

10.1103/PhysRevE.56.6540

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.

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