Nonequilibrium Ornstein-Zernike relation for Brownian many-body dynamics

Brader, Joseph M.; Schmidt, Matthias

doi:10.1063/1.4820399

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Journal article

Nonequilibrium Ornstein-Zernike relation for Brownian many-body dynamics

Brader, Joseph M. Department of Physics, University of Fribourg, Switzerland
Schmidt, Matthias Theoretische Physik II, Physikalisches Institut, Universität Bayreuth, Germany

12.09.2013

Published in:

The Journal of Chemical Physics. - 2013, vol. 139, no. 10, p. 104108

English We derive a dynamic Ornstein-Zernike equation for classical fluids undergoing overdamped Brownian motion and driven out of equilibrium. Inhomogeneous two-time correlation functions are obtained from functional differentiation of the one-body density and current with respect to an appropriately chosen external field. Functional calculus leads naturally to non-Markovian equations of motion for the two-time correlators. Memory functions are identified as functional derivatives of a space- and time-nonlocal power dissipation functional. We propose an excess (over ideal gas) dissipation functional that both generates mode-coupling theory for the two-body correlations and extends dynamical density functional theory for the one-body fields, thus unifying the two approaches.

Faculty

Faculté des sciences et de médecine

Department

Département de Physique

Language