Thermalization of a Brownian particle via coupling to low-dimensional chaos

Details Thermalization of a Brownian particle via coupling to low-dimensional chaos Thermalization of a Brownian particle via coupling to low-dimensional chaos

1995-02-02

arxiv.org/abs/chao-dyn/9501028v1

Physics

Condensed Matter

Revtex, 11 pages, no figures.

Scientific paper

10.1103/PhysRevLett.74.2937

It is shown that a paradigm of classical statistical mechanics --- the thermalization of a Brownian particle --- has a low-dimensional, deterministic analogue: when a heavy, slow system is coupled to fast deterministic chaos, the resultant forces drive the slow degrees of freedom toward a state of statistical equilibrium with the fast degrees. This illustrates how concepts useful in statistical mechanics may apply in situations where low-dimensional chaos exists.

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