Exact calculation of the energy contributions to the T=0 random-field Ising model with metastable dynamics on the Bethe lattice

Abstract

We analyze the energy terms corresponding to the spin-spin exchange and spin-random field coupling of the zero temperature random-field Ising model on the Bethe lattice driven by an external field with metastable dynamics. Exact results are calculated as a function of the standard deviation of the disorder and the coordination number z, and compared with numerical simulations on random graphs for z=4, for which a disorder-induced transition takes place.

arXiv comment7 pages, 9 figures, submitted to Phys. Rev. B

References in corpus (13)

• The Bethe lattice spin glass revisited
• Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations
• Hysteresis, Avalanches, and Disorder Induced Critical Scaling: A Renormalization Group Approach
• Disorder-Induced Critical Phenomena in Hysteresis: Numerical Scaling in Three and Higher Dimensions
• Zero-temperature Hysteresis in Random-field Ising Model on a Bethe Lattice
• Finite Size Scaling analysis of the avalanches in the 3d Gaussian Random Field Ising Model with metastable dynamics
• Hysteresis Loop Critical Exponents in 6-Epsilon Dimensions
• Spanning avalanches in the three-dimensional Gaussian Random Field Ising Model with metastable dynamics: field dependence and geometrical properties
• Low field hysteresis in disordered ferromagnets
• Exact Solution of Return Hysteresis Loops in One Dimensional Random Field Ising Model at Zero Temperature
• Exact Expressions for Minor Hysteresis Loops in the Random Field Ising Model on a Bethe Lattice at Zero Temperature
• Rayleigh loops in the random-field Ising model on the Bethe lattice
• Hysteresis and avalanches in the T=0 random-field Ising model with 2-spin-flip dynamics

Cited by in corpus (7)

• The magnetization-driven random field Ising model at T=0
• Equations of motion approach to the spin-1/2 Ising model on the Bethe lattice
• Zero Temperature Hysteresis in Random Field Ising Model on Bethe Lattices: approach to mean field behavior with increasing coordination number z
• Exact spin-spin correlation function for the zero-temperature random-field Ising model
• Diluted 3d-Random Field Ising Model at zero temperature with metastable dynamics
• Hysteresis behavior of the random-field Ising model with 2-spin-flip dynamics: Exact results on a Bethe lattice
• Work distributions in the T=0 Random Field Ising Model