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Simple Ising models still thrive!

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  • Fisher, Michael E.

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.

Suggested Citation

  • Fisher, Michael E., 1981. "Simple Ising models still thrive!," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 106(1), pages 28-47.
    • Handle: RePEc:eee:phsmap:v:106:y:1981:i:1:p:28-47
    DOI: 10.1016/0378-4371(81)90204-1
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    1. Karin Peschel, 1975. "Integration And The Spatial Distribution Of Economic Activity," Papers in Regional Science, Wiley Blackwell, vol. 34(1), pages 27-42, January.
    2. Ferdinand K. Levy, 1976. "Practice of Management Science---Anti-Trust and the Links---Estimating a Golfer's Tournament Score," Interfaces, INFORMS, vol. 6(3), pages 5-17, May.
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