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Fourth-order gradient contributions in extended Thomas-Fermi theory for noninteracting fermions at finite temperature

dc.contributor.authorGeldart, D. J. W.en_US
dc.contributor.authorSommer, E.en_US
dc.date.accessioned2013-06-19T17:26:27Z
dc.date.available2013-06-19T17:26:27Z
dc.date.issued1985-12/15en_US
dc.description.abstractNonlocal corrections to the free energy of a system of noninteracting fermions are considered within the framework of extended Thomas-Fermi theory. The density and temperature dependence of gradient corrections is given through fourth order in powers of the density gradient. The calculation is based on long-wavelength expansions of linear and nonlinear response functions of a nearly uniform system. Results are given in terms of Fermi-Dirac integrals and convenient forms are given which span the full density and temperature range from the degenerate limit to the classical limiten_US
dc.identifier.citationGeldart, D. J. W., and E. Sommer. 1985. "Fourth-order gradient contributions in extended Thomas-Fermi theory for noninteracting fermions at finite temperature." Physical Review B (Condensed Matter) 32(12): 7694-702. Copyright © 1985 American Physical Society.en_US
dc.identifier.issn0163-1829en_US
dc.identifier.issue12en_US
dc.identifier.startpage7694en_US
dc.identifier.urihttp://dx.doi.org/10.1103/PhysRevB.32.7694en_US
dc.identifier.urihttp://hdl.handle.net/10222/25119
dc.identifier.volume32en_US
dc.relation.ispartofPhysical Review B (Condensed Matter)en_US
dc.subjectFermion systemsen_US
dc.subjectFree energyen_US
dc.subjectThomas-Fermi modelen_US
dc.titleFourth-order gradient contributions in extended Thomas-Fermi theory for noninteracting fermions at finite temperatureen_US
dc.typearticleen_US

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