Rosenfeld, Yaakov (1995) Geometrically-based density-functional theory of fluids and plasmas. Accademia Peloritana dei Pericolanti, Classe di Scienze FF. MM. NN., LXXIII. pp. 65-83.
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The fundamental-measure free energy density functional succeeds to capture correctly the main geometric features, and leads to accurate description of the structure of the general inhomogeneous simple "atomic" fluid. The initial hard-sphere functional utilizes weighted-densities, which are system-averages of the true density profiles weighted by the individual particles' geometries. It then yields explicit expression for the "universal bridge functional" which is applicable for arbitrary pair interactions, including plasmas of point charges. The key for the derivation of the hard-sphere functional is the convolution decomposition of the excluded volume for a pair of spheres in terms of characteristic functions for the geometry of the two individual spheres. By noting the relation of that decomposition with the Guass-Bonnet theorem for the geometry of convex bodies it is possible to extend the hard-sphere functional to hard-body liquid crystals. The corresponding bridge functional can then be applied to general molecular fluids.
|Subjects:||M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali > 1995|
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Medico-Biologiche > 1995
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Giuridiche, Economiche e Politiche > 1995
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Lettere, Filosofia e belle Arti > 1995
|Depositing User:||Dr A F|
|Date Deposited:||19 Sep 2012 09:53|
|Last Modified:||19 Sep 2012 09:53|
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