title: Fluctuation-dissipation and energy properties of a finite bath.
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.
authors.affiliation: Department of Mechanical and Aerospace Engineering, University of Rome, La Sapienza, Via Eudossiana, 18, 00184, Rome, Italy.
authors.forename: A
authors.initials: A
authors.lastname: Carcaterra
authors.affiliation: Department of Mechanical Engineering, Bilkent University, 06800 Bilkent, Ankara, Turkey.
authors.forename: A
authors.initials: A
authors.lastname: Akay