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Asymptotic behavior of free energy for random field Ising chain

Paper Authors:

Orphée Collin

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Key Details

Identifies leading term in asymptotic free energy for disordered 1D Ising model

Leading coefficient is the variance of the disorder distribution

Holds for a wide class of disorder distributions

Also bounds density of spin flips in the model

Makes connection to predictions from the physics literature

AI generated summary

Asymptotic behavior of free energy for random field Ising chain

This paper identifies the leading term in the asymptotic expansion of the free energy density for the random field Ising chain model from statistical mechanics, as the spin interaction strength goes to infinity. This clarifies prior work, showing the leading coefficient is simply the disorder variance, under weak assumptions.

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