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
-
- English
- Classification
- Physics
- License
- License undefined
- Identifiers
-
- RERO DOC 208627
- DOI 10.1063/1.4820399
- Persistent URL
- https://folia.unifr.ch/unifr/documents/303266
Statistics
Document views: 28
File downloads:
- bra_noz.pdf: 57