Equilibrium description of a particle system in a heat bath

Diego Bricio Hernandez, Michele Pavon

Research output: Contribution to journalArticlepeer-review


An N particle system evolving in 3-space under the action of a friction force, an external potential and a fluctuating force is studied, using the Langevin equation. Necessary and sufficient conditions are given for both (a) the existence and (b) the Maxwell-Boltzmann character of an invariant measure. Both probabilistic and system theoretical tools play an important part in this study. In addition, the general results mentioned above are applied to the study of a system of n oscillators coupled through velocity, with a first-neighbour-only type of interaction.

Original languageEnglish (US)
Pages (from-to)239-258
Number of pages20
JournalActa Applicandae Mathematicae
Issue number3
StatePublished - Mar 1989


  • AMS Subject Classifications (1980): 82A30, 82A05, 93B05, 93E15, 60J65
  • controllability
  • invariant measure
  • Langevin equation
  • Statistical physics
  • stochastic stability

ASJC Scopus subject areas

  • Applied Mathematics


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