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

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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4 pages, 4 figures, Submitted to PRB

Scientific paper

10.1103/PhysRevB.73.092414

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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