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Stochastic representation of deterministic interactions and Brownian motion

Yuriy E. Kuzovlev
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Abstract

Exact generalized stochastic representation of deterministic interaction between two dynamical (quantum or classical) systems is derived which helps when considering one of them to replace another by equivalent commutative ($c$-number valued) random sources. The method is applied to classical Brownian motion of a particle in a gas, and statistics of this motion is reduced to statistics of the gas response to perturbations.

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Yuriy E. Kuzovlev. 2004-04-20. Stochastic representation of deterministic interactions and Brownian motion. https://arxiv.org/abs/cond-mat/0404456

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