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

Abstract

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.

25 pages, 21 figures, article

References in corpus (9)

• Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations
• The three-dimensional random field Ising magnet: interfaces, scaling, and the nature of states
• New algorithm and results for the three-dimensional random field Ising Model
• Scaling of the Random-Field Ising Model at Zero Temperature
• Ground states and thermal states of the random field Ising model
• Ground state numerical study of the three-dimensional random field Ising model
• Numerical study of the random field Ising model at zero and positive temperature
• Destruction of first-order phase transition in a random-field Ising model
• Phase Diagram of the 3D Bimodal Random-Field Ising Model

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• Multicritical Behavior of Two Coupled Ising Models in the Presence of a Random Field
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