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
  • English
Classification
Physics
License
License undefined
Identifiers
Persistent URL
https://folia.unifr.ch/unifr/documents/303266
Statistics

Document views: 3 File downloads:
  • bra_noz.pdf: 1