Generalised Einstein relation for hot Brownian motion

D. Chakraborty, M. V. Gnann, D. Rings, J. Glaser, F. Otto, F. Cichos, K. Kroy

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30 Scopus citations

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.

Original languageEnglish
Article number60009
JournalEPL
Volume96
Issue number6
DOIs
StatePublished - Dec 2011
Externally publishedYes

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