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Article overview
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Projected free energies for polydisperse phase equilibria | | Peter Sollich
; Michael E Cates
; | | Date: |
28 Nov 1997 | | Journal: | Physical Review Letters, 80(7):1365-1368, 1998 DOI: 10.1103/PhysRevLett.80.1365 | | Subject: | Statistical Mechanics; Soft Condensed Matter | cond-mat.stat-mech cond-mat.soft | | Affiliation: | University of Edinburgh, U.K. | | Abstract: | A `polydisperse’ system has an infinite number of conserved densities. We give a rational procedure for projecting its infinite-dimensional free energy surface onto a subspace comprising a finite number of linear combinations of densities (`moments’), in which the phase behavior is then found as usual. If the excess free energy of the system depends only on the moments used, exact cloud, shadow and spinodal curves result; two- and multi-phase regions are approximate, but refinable indefinitely by adding extra moments. The approach is computationally robust and gives new geometrical insights into the thermodynamics of polydispersity. | | Source: | arXiv, cond-mat/9711312 | | Services: | Forum | Review | PDF | Favorites | |
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