Generalised Einstein Relation for Hot Brownian Motion

Details Generalised Einstein Relation for Hot Brownian Motion Generalised Einstein Relation for Hot Brownian Motion

2011-10-17

arxiv.org/abs/1110.3734v2

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

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 $T_\mathrm{HBM}$ and $T_\mathrm{k}$ . For $T_\mathrm{HBM}$ we derive a formally exact theoretical prediction and establish a generalised Einstein relation that links it to directly measurable quantities.

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