Generalised Einstein Relation for Hot Brownian Motion

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 $T_{\mathrm{HBM}}$ 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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• Active Motion of Janus Particle by Self-thermophoresis in Defocused Laser Beam
• Photothermal heterodyne imaging of individual nonfluorescent nanoclusters and nanocrystals
• Single NanoParticle Photothermal Tracking (SNaPT) of 5 nm gold beads in live cells
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Cited by in corpus (13)

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• Non-isothermal fluctuating hydrodynamics and Brownian motion
• Persistence of a Brownian particle in a Time Dependent Potential
• Brownian Thermometry Beyond Equilibrium
• The effective temperature for the thermal fluctuations in hot Brownian motion
• Orientational dynamics of a heated Janus particle
• Continuous demixing transition of binary liquids: finite-size scaling from the analysis of sub-systems
• Coarse Graining Nonisothermal Microswimmer Suspensions