Mean-field approximation for spacing distribution functions in classical systems

Diego Luis González, Alberto Pimpinelli, T. L. Einstein

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We propose a mean-field method to calculate approximately the spacing distribution functions p (n )(s) in one-dimensional classical many-particle systems. We compare our method with two other commonly used methods, the independent interval approximation and the extended Wigner surmise. In our mean-field approach, p (n )(s) is calculated from a set of Langevin equations, which are decoupled by using a mean-field approximation. We find that in spite of its simplicity, the mean-field approximation provides good results in several systems. We offer many examples illustrating that the three previously mentioned methods give a reasonable description of the statistical behavior of the system. The physical interpretation of each method is also discussed.

Original languageEnglish (US)
Article number011151
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number1
StatePublished - Jan 31 2012

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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