Statistical Mechanics in Collective Coordinates

S. F. Edwards, Moshe Schwartz

Research output: Contribution to journalArticlepeer-review

Abstract

We study the transformation of the statistical mechanics of N particles to the statistical mechanics of fields, that are the collective coordinates, describing the system. We give an explicit expression for the functional Fourier transform of the Jacobian of the transformation from particle to collective coordinate and derive the Fokker-Planck equation in terms of the collective coordinates. Simple approximations, leading to Debye-Huckel theory and to the hard sphere Percus-Yevick equation are discussed.

Original languageEnglish
Pages (from-to)497-502
Number of pages6
JournalJournal of Statistical Physics
Volume110
Issue number3-6
DOIs
StatePublished - Mar 2003

Keywords

  • Collective coordinates
  • Fokker-Planck equation
  • Jacobian
  • Statistical mechanics

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