On the properties of inhomogeneous charged systems

Lesser Blum, Christian Gruber, Douglas Henderson, Joel L. Lebowitz, Philippe A. Martin

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


We give a proof and an extension of equations previously derived by Wertheim and Lovett, Mou and Buff, relating the gradient of the density to an integral of the external force over the pair correlation function; when the system has boundaries it also involves a surface contribution. These equations are derived and used for systems which may contain free charges, dipoles, and a rigid background (jellium). In particular, we derive an equation for the density profile near a plane electrode and we show that the correlation function has to decay no faster than |χ|-N (N=space dimension) parallel to the electode.

Original languageEnglish (US)
Pages (from-to)3195-3203
Number of pages9
JournalThe Journal of Chemical Physics
Issue number6
StatePublished - 1983

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry


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