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Statistical Mechanics of Assemblies of Coupled Oscillators
G. W. Ford, M. Kac, P. Mazur
Source abstract
It is shown that a system of coupled harmonic oscillators can be made a model of a heat bath. Thus a particle coupled harmonically to the bath and by an arbitrary force to a fixed center will (in an appropriate limit) exhibit Brownian motion. Both classical and quantum mechanical treatments are given.
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