Generalised Einstein relation for hot Brownian motion

Journal article (2011)

Authors

D Chakraborty University of Leipzig
M.V. Gnann Max Planck Institute for Mathematics in the Sciences
D. Rings University of Leipzig
J. Glaser University of Leipzig
F. Otto Max Planck Institute for Mathematics in the Sciences
F. Cichos University of Leipzig
K. Kroy University of Leipzig
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Published Date

2011-12

Language

English

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Abstract

The Brownian motion of a hot nanoparticle is described by an effective Markov theory based on fluctuating hydrodynamics. Its predictions are scrutinized over a wide temperature range using large-scale molecular dynamics simulations of a hot nanoparticle in a Lennard-Jones fluid. The particle positions and momenta are found to be Boltzmann distributed according to distinct effective temperatures THBM and Tk. For T HBM we derive a formally exact theoretical prediction and establish a generalised Einstein relation that links it to directly measurable quantities.