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Journal of Statistical Physics

, Volume 36, Issue 3–4, pp 471–488 | Cite as

On the validity of the inverse conjecture in classical density functional theory

  • J. T. Chayes
  • L. Chayes
Articles

Abstract

It is shown that the basic assumptions of the classical density functional approach are rigorously correct forH-stable systems in the grand canonical ensemble. Moreover, it is established that the set of all single-particle densities is convex. These results are derived by providing necessary and sufficient conditions for the solution of the classical inverse problem for single-particle densities. Analogous results are obtained for the solution of the higher-order correlation inverse problem, and the ramifications of these results for the validity of two-body decomposition of forces are discussed.

Key words

Inverse problem density functional theory V-representability two-body decomposition 

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Copyright information

© Plenum Publishing Corporation 1984

Authors and Affiliations

  • J. T. Chayes
    • 1
  • L. Chayes
    • 1
  1. 1.Department of PhysicsPrinceton UniversityPrinceton

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