Heras, Daniel de las Brader, Joseph M. Fortini, Andrea Schmidt, Matthias 2016-04-26 We present the exact adiabatic theory for the dynamics of the inhomogeneous density distribution of a classical fluid. Erroneous particle number fluctuations of dynamical density functional theory are absent, both for canonical and grand canonical initial conditions. We obtain the canonical free energy functional, which yields the adiabatic interparticle forces of overdamped Brownian motion. Using an exact and one of the most advanced approximate hard core free energy functionals, we obtain excellent agreement with simulations. The theory applies to finite systems in and out of equilibrium. application/pdf https://folia.unifr.ch/global/documents/304899 https://folia.unifr.ch/documents/304899/files/bra_pcd.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.1088/0953-8984/28/24/244024 info:eu-repo/semantics/openAccess License undefined Journal of Physics: Condensed Matter. - 2016, vol. 28, no. 24, p. 244024 info:eu-repo/classification/udc/53 Particle conservation in dynamical density functional theory http://purl.org/coar/resource_type/c_6501