Issue |
EPL
Volume 96, Number 6, December 2011
|
|
---|---|---|
Article Number | 60009 | |
Number of page(s) | 6 | |
Section | General | |
DOI | https://doi.org/10.1209/0295-5075/96/60009 | |
Published online | 09 December 2011 |
Generalised Einstein relation for hot Brownian motion
1
Institute for Theoretical Physics, University of Leipzig - Postfach 100920, 04009 Leipzig, Germany, EU
2
Institute for Experimental Physics, University of Leipzig - Linnéstraße 5, 04103 Leipzig, Germany, EU
3
Max-Planck-Institute for Mathematics in the Sciences - Inselstraße 22, 04103 Leipzig, Germany, EU
a
daniel.rings@uni-leipzig.de
b
kroy@uni-leipzig.de
Received:
12
August
2011
Accepted:
4
November
2011
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 THBM we derive a formally exact theoretical prediction and establish a generalised Einstein relation that links it to directly measurable quantities.
PACS: 05.40.Jc – Brownian motion / 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 47.11.Mn – Molecular dynamics methods
© EPLA, 2011
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