Zero Temperature Hysteresis in Random Field Ising Model on Bethe Lattices: approach to mean field behavior with increasing coordination number z

Abstract

We consider the analytic solution of the zero temperature hysteresis in the random field Ising model on a Bethe lattice of coordination number $z$, and study how it approaches the mean field solution in the limit z-> \infty. New analytical results concerning the energy of the system along the hysteresis loop and first order reversal curves (FORC diagrams) are also presented.

4 pages, 4 figures, Submitted to PRB

References in corpus (5)

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• A universal form of slow dynamics in zero-temperature random-field Ising model
• The T=0 random-field Ising model on a Bethe lattice with large coordination number: hysteresis and metastable states
• Equations of motion approach to the spin-1/2 Ising model on the Bethe lattice
• The magnetization-driven random field Ising model at T=0
• Hysteresis in Anti-Ferromagnetic Random-Field Ising Model at Zero Temperature
• An improved Belief Propagation algorithm finds many Bethe states in the random field Ising model on random graphs
• 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
• Critical fluctuations of time-dependent magnetization in a random-field Ising model