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Communications in Mathematical Physics

, Volume 40, Issue 3, pp 235–247 | Cite as

The Kirkwood-Salsburg equations: Solutions and spectral properties

  • Herm Jan Brascamp
Article

Abstract

It is shown that the Kirkwood-Salsburg equations for a classical lattice gas are equivalent to the Dobrushin-Lanford-Ruelle equilibrium equations. The term “Kirkwood-Salsburg equations” is used here in a restricted sense, and thus the known result for a larger system of equations is improved (see Table 1). Some information on the spectrum of the Kirkwood-Salsburg operator is found in connection with zeros of partition functions. An example is given to show that the Kirkwood-Salsburg equations can have other solutions than states in the space of uniformly bounded correlation functions.

Keywords

Neural Network Statistical Physic Correlation Function Complex System Partition Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • Herm Jan Brascamp
    • 1
    • 2
  1. 1.The Institute for Advanced StudyPrincetonUSA
  2. 2.Department of PhysicsPrinceton UniversityPrincetonUSA

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