Shape of crossover between mean-field and asymptotic critical behavior in a three-dimensional Ising lattice
M.A. Anisimov (1,2), E. Luijten (3,4), V.A. Agayan (1), J.V. Sengers, (1,2), K. Binder (4) ((1) Institute for Physical Science, Technology,, University of Maryland (2) Department of Chemical Engineering, University of
TL;DR
This paper investigates the crossover behavior of susceptibility in the 3D Ising model with different interaction ranges, using a renormalization-group based model that accurately describes the transition between mean-field and critical regimes.
Contribution
The study introduces a crossover model based on renormalization-group matching theory that effectively captures the susceptibility behavior in the 3D Ising model across different interaction ranges.
Findings
The crossover model accurately describes susceptibility behavior.
Numerical data aligns well with the renormalization-group based predictions.
The model bridges mean-field and asymptotic critical behaviors.
Abstract
Recent numerical studies of the susceptibility of the three-dimensional Ising model with various interaction ranges have been analyzed with a crossover model based on renormalization-group matching theory. It is shown that the model yields an accurate description of the crossover function for the susceptibility.
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