Tuesday, June 18, 2013

1306.3528 (Haley A. Yaple et al.)

A Continuum Generalization of the Ising Model    [PDF]

Haley A. Yaple, Daniel M. Abrams
The Lenz-Ising model has served for almost a century as a basis for understanding ferromagnetism, and has become a paradigmatic model for phase transitions in statistical mechanics. While retaining the Ising energy arguments, we use techniques previously applied to sociophysics to propose a continuum model. Our formulation results in an integro-differential equation that has several advantages over the traditional version: it allows for asymptotic analysis of phase transitions, material properties, and the dynamics of the formation of magnetic domains.
View original: http://arxiv.org/abs/1306.3528

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