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

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

2000-01-13

arxiv.org/abs/math-ph/0001018v1

Physics

Mathematical Physics

18 pages

Scientific paper

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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