title: Effective temperatures of hot Brownian motion.
abstract: We derive generalized Langevin equations for the translational and rotational motion of a heated Brownian particle from the fluctuating hydrodynamics of its nonisothermal solvent. The temperature gradient around the particle couples to the hydrodynamic modes excited by the particle itself so that the resulting noise spectrum is governed by a frequency-dependent temperature. We show how the effective temperatures at which the particle coordinates and (angular) velocities appear to be thermalized emerge from this central quantity.
authors.affiliation: Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, D-04009 Leipzig, Germany.
authors.forename: G
authors.initials: G
authors.lastname: Falasco
authors.affiliation: Max Planck Institute for Mathematics in the Sciences, Inselstr. 22, 04103 Leipzig, Germany.
authors.forename: M V
authors.initials: MV
authors.lastname: Gnann
authors.affiliation: Department of Physics and Astronomy, University of Leeds, LS2 9JT Leeds, United Kingdom.
authors.forename: D
authors.initials: D
authors.lastname: Rings
authors.affiliation: Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, D-04009 Leipzig, Germany.
authors.forename: K
authors.initials: K
authors.lastname: Kroy
mesh_terms: D057446:Hydrodynamics; D007700:Kinetics; D008962:Models, Theoretical; D009038:Motion; D012997:Solvents; D013696:Temperature
chemical_list: D012997:Solvents