Fluctuation-dissipation and energy properties of a finite bath.

Carcaterra, A; Akay, A · Phys Rev E · 2016

basic_science · Level V

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Abstract

This paper expands a recent proposal by the authors to rederive the Langevin equation for a test particle in a finite-size thermal bath using a perturbation approach that yields a cascade of Langevin-type equations. Such an approach produces a different viewpoint for the fluctuation-dissipation duality by expressing them on similar scales. General properties of energy sharing between the test particle and the bath are outlined, investigating the resonant and nonresonant conditions.