Consider an Ising model with an infinite-range interaction such that each spin interacts equally strongly with all

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Consider an Ising model with an infinite-range interaction such that each spin interacts equally strongly with all other spins:

H^=ci<jσiσjμμ0Hiσi

Express this Hamiltonian in terms of the parameter L(=N1Σiσi) and show that, in the limit N and c0, the mean field theory, with J=Nc/q, is exact for this model.

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Statistical Mechanics

ISBN: 9780081026922

4th Edition

Authors: R.K. Pathria, Paul D. Beale

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