Time-dependent correlations in an inhomogeneous one-component plasma

B. Jancovici, J. L. Lebowitz, Ph A. Martin

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

Sum rules describing perfect screening at equilibrium in a classical plasma are extended to the time-displaced structure function of an inhomogeneous one-component plasma. We find that there are long-wavelength modes which oscillate undamped with a single frequency {Mathematical expression}, {Mathematical expression} being an angular average of the squared plasma frequency at infinity. Our results are derived heuristically, allowing also for quantum effects, from linear response theory, and rigorously from the classical BBGKY hierarchy under some reasonable assumptions on the spatial decay of correlations. Special cases are investigated, in particular plasmas bounded by walls of varied shapes.

Original languageEnglish (US)
Pages (from-to)941-974
Number of pages34
JournalJournal of Statistical Physics
Volume41
Issue number5-6
DOIs
StatePublished - Dec 1985

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Keywords

  • Sum rules
  • one-component inhomogeneous plasma
  • time-dependent correlations

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