Multicritical Behavior in a Random-Field Ising Model under a Continuous-Field Probability Distribution

Details Multicritical Behavior in a Random-Field Ising Model under a Continuous-Field Probability Distribution Multicritical Behavior in a Random-Field Ising Model under a Continuous-Field Probability Distribution

2008-12-13

arxiv.org/abs/0812.2585v1

J. Phys.: Condens. Matter 21 (2009), 056005

Physics

Condensed Matter

Statistical Mechanics

25 pages, 21 figures, article

Scientific paper

10.1088/0953-8984/21/5/056005

A random-field Ising model that is capable of exhibiting a rich variety of multicritical phenomena, as well as a smearing of such behavior, is investigated. The model consists of an infinite-range-interaction Ising ferromagnet in the presence of a triple-Gaussian random magnetic field, which is defined as a superposition of three Gaussian distributions with the same width $\sigma$, centered at H=0 and $H=\pm H_{0}$, with probabilities $p$ and $(1-p)/2$, respectively. Such a distribution is very general and recovers as limiting cases, the trimodal, bimodal, and Gaussian probability distributions.

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