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Issue 7, 2011

Theory of Hot Brownian Motion

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Abstract

The erratic motion of suspended colloidal particles due to thermal fluctuations of the solvent molecules is well known as Brownian motion and has long found its theoretical explanation as an equilibrium phenomenon. In this work, we abandon the homogeneity of temperature and viscosity and address so-called hot Brownian motion [Rings et al., Phys. Rev. Lett., 2010, 105 (9), 090604] of (laser-)heated nanoparticles. We develop an effective Markovian equilibrium description for this non-equilibrium phenomenon by deriving the appropriate effective temperature and viscosity parameters from a generalized theory of fluctuating hydrodynamics. On the basis of our systematic mathematical formulation we propose a numerically accurate simplified model that yields analytical results.

Graphical abstract: Theory of Hot Brownian Motion

Article information


Submitted
24 Aug 2010
Accepted
15 Dec 2010
First published
15 Feb 2011

Soft Matter, 2011,7, 3441-3452
Article type
Paper

Theory of Hot Brownian Motion

D. Rings, M. Selmke, F. Cichos and K. Kroy, Soft Matter, 2011, 7, 3441 DOI: 10.1039/C0SM00854K

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