Simple Ising models still thrive!

Michael E. Fisher

Physica A: Statistical Mechanics and its Applications, 1981, vol. 106, issue 1, 28-47

Abstract: A selection of recent work by various authors concerning spin 12; Ising modls with pair couplings is reviewed. Topics addressed include: the universality of corrections-to-scaling and nonlinear scaling fields in planar Ising models; aspects of many-particle correlation functions; the testing and verification of scaling hypotheses for local magnetizations in the presence of walls and boundaries, including the singular nature of the critical region scaling functions and the decay of the influence of a far wall; a soluble model of a surface roughening transition; nonuniversal critical effects of one-dimensional perturbations in planar Ising models; the effects of spatially anisotropic further neighbor interactions, in particular ANNNI models in d 2 dimensions and soluble mock ANNNI models in 2 and 3 dimensions.

Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:106:y:1981:i:1:p:28-47

DOI: 10.1016/0378-4371(81)90204-1

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