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

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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-> ∞. New analytical results concerning the energy of the system along the hysteresis loop and first order reversal curves (FORC diagrams) are also presented.