Journal of Statistical Physics

, Volume 34, Issue 3–4, pp 539–556 | Cite as

Some remarks on nonequilibrium dynamics of infinite particle systems

  • J. Fritz
Articles

Abstract

Classical mechanics of infinitely many particles in dimensions one and two is considered, particles interacting by a superstable pair potential of finite range. The group of motion generated by Newton's equations is constructed in the space of locally finite configurations with a logarithmic order of energy fluctuations at infinity. A core of the Liouville operator is also described. Results of Dobrushin and the author and of Marchioro-Pellegrinotti-Pulvirenti are improved.

Key words

Infinite systems superstable interactions Liouville operator essential self-adjointness 

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Copyright information

© Plenum Publishing Corporation 1984

Authors and Affiliations

  • J. Fritz
    • 1
  1. 1.Institut des Hautes Etudes ScientifiquesBures-sur-YvetteFrance

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