Effective temperatures of hot Brownian motion
arXiv:1403.4040 · doi:10.1103/PhysRevE.90.032131
Abstract
We derive generalized Langevin equations for the translational and rotational motion of a heated Brownian particle from the fluctuating hydrodynamics of its non-isothermal solvent. The temperature gradient around the particle couples to the hydrodynamic modes excited by the particle itself so that the resulting noise spectrum is governed by a frequency-dependent temperature. We show how the effective temperatures at which the article coordinates and (angular) velocities appear to be thermalized emerge from this central quantity.
arXiv comment11 pages, 4 figures
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