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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Brownian motion, dynamical randomness and irreversibility

Focus on Brownian Motion and Diffusion in the 21st Century

Pierre Gaspard

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Part of Focus on Brownian Motion and Diffusion in the 21st Century

A relationship giving the entropy production as the difference between a time-reversed entropy per unit time and the standard one is applied to stochastic processes of diffusion of Brownian particles between two reservoirs at different concentrations. The entropy production in the nonequilibrium steady state is interpreted in terms of a time asymmetry in the dynamical randomness between the forward and backward paths of the diffusion process.


PACS

05.40.Jc Brownian motion

02.50.Ey Stochastic processes

05.10.Gg Stochastic analysis methods (Fokker-Planck, Langevin, etc.)

05.60.-k Transport processes

05.70.Ce Thermodynamic functions and equations of state

Subjects

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 1 (March 2005)

Received 5 January 2005

Published 11 March 2005



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