Published on:

28 March 2024

Primary Category:

Probability

Paper Authors:

Orphée Collin

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

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Leading coefficient is the variance of the disorder distribution

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Holds for a wide class of disorder distributions

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Also bounds density of spin flips in the model

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Makes connection to predictions from the physics literature

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.

Domain walls in random field Ising chains

Phase transitions of antiferromagnetic Ising models

Entanglement asymmetry in the ordered phase of the quantum Ising model

Operator product expansion for critical dynamics

Non-reciprocal interactions in Ising spins

Analyzing the critical behavior of the long-range Ising model

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