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

Xavier Illa·Prabodh Shukla·Eduard Vives
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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.

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Xavier Illa, Prabodh Shukla, Eduard Vives. 2005-11-22. Zero Temperature Hysteresis in Random Field Ising Model on Bethe Lattices: approach to mean field behavior with increasing coordination number z. https://doi.org/10.1103/physrevb.73.092414

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