Effective temperatures of a heated Brownian particle

Abstract

We investigate various possible definitions of an effective temperature for a particularly simple nonequilibrium stationary system, namely a heated Brownian particle suspended in a fluid. The effective temperature based on the fluctuation dissipation ratio depends on the time scale under consideration, so that a simple Langevin description of the heated particle is impossible. The short and long time limits of this effective temperature are shown to be consistent with the temperatures estimated from the kinetic energy and Einstein relation, respectively. The fluctuation theorem provides still another definition of the temperature, which is shown to coincide with the short time value of the fluctuation dissipation ratio.

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• Generalised Einstein Relation for Hot Brownian Motion
• Mesoscopic virial equation for nonequilibrium statistical mechanics
• Non-isothermal fluctuating hydrodynamics and Brownian motion
• Osmosis with active solutes
• Brownian Thermometry Beyond Equilibrium
• Shape-shifting droplet networks
• Nonequilibrium Langevin equation and effective temperature for particle interacting with spatially extended environment
• Weighted average temperature as the effective temperature of a system in contact with two thermal baths