Effective temperatures of hot Brownian motion

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Effective temperatures of hot Brownian motion

Journal Article (2014)

Author(s)

G. Falasco (University of Leipzig)

M. V. Gnann (Max Planck Institute for Mathematics in the Sciences)

D. Rings (University of Leeds)

K. Kroy (University of Leipzig)

DOI related publication

https://doi.org/10.1103/PhysRevE.90.032131 Final published version

To reference this document use

https://resolver.tudelft.nl/uuid:4cb0e855-fd98-4716-9721-219e1b9585c9

More Info

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Publication Year

2014

Language

English

Issue number

3

Volume number

90

Article number

032131

Downloads counter

164

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.