# The Origin of Mean-Field Behavior in an Elastic Ising Model

Source: [The Origin of Mean-Field Behavior in an Elastic Ising Model](<https://www.sota2.com/research/paper/68fa3c761e209131ce8dac97>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T01:08:58.668Z

Authors: Layne B. Frechette, Christoph Dellago, Phillip L. Geissler

Published: 2020-04-22T02:33:41.000Z

## Abstract

Simple elastic models of spin-crossover compounds are known empirically to exhibit classical critical behavior. We demonstrate how the long-ranged interactions responsible for this behavior arise naturally upon integrating out mechanical fluctuations of such a model. A mean field theory applied to the resulting effective Hamiltonian quantitatively accounts for both thermodynamics and kinetics observed in computer simulations, including a barrier to magnetization reversal that grows extensively with system size. For nanocrystals, which break translational symmetry, a straightforward extension of mean field theory yields similarly accurate results.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2004.10373>)

[PDF](<https://arxiv.org/pdf/2004.10373.pdf>)