Brader, Joseph M. Schmidt, Matthias 2013-09-12 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. application/pdf https://folia.unifr.ch/global/documents/303266 https://folia.unifr.ch/documents/303266/files/bra_noz.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.1063/1.4820399 info:eu-repo/semantics/openAccess License undefined The Journal of Chemical Physics. - 2013, vol. 139, no. 10, p. 104108 info:eu-repo/classification/udc/53 Nonequilibrium Ornstein-Zernike relation for Brownian many-body dynamics http://purl.org/coar/resource_type/c_6501