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Propagation of Molecular Chaos by Quantum Systems and the Dynamics of the Curie-Weiss Model

Alexander David Gottlieb
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Abstract

The propagation of molecular chaos, a tool of classical kinetic theory, is generalized to apply to quantum systems of distinguishable particles. We prove that the Curie-Weiss model of ferromagnetism propagates molecular chaos and derive the effective dynamics of a single-spin state in the mean-field limit. Our treatment differs from the traditional approach to mean-field spin models in that it concerns the dynamics of single-particle states instead of the dynamics of infinite-particle states.

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Alexander David Gottlieb. 2000-01-13. Propagation of Molecular Chaos by Quantum Systems and the Dynamics of the Curie-Weiss Model. https://arxiv.org/abs/math-ph/0001018

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