Abstract
A phenomenological dynamic extension of the classical density functional theory is proposed. Our evolution equation for the density has the form of a generalized Smoluchowski equation which involves a correlation potential to be derived from the microscopic theory. By means of an expansion in terms of generalized Hermite polynomials we also present numerical results for simple cases of nonlinear diffusion.
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Dieterich, W., Frisch, H.L. & Majhofer, A. Nonlinear diffusion and density functional theory. Z. Physik B - Condensed Matter 78, 317–323 (1990). https://doi.org/10.1007/BF01307852
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DOI: https://doi.org/10.1007/BF01307852