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A statistical derivation of the hydrodynamic equations of change for a system of ionized molecules. I. General equation of change and the Maxwell equations

Journal of Statistical Physics volume 1, pages 163–174 (1969)Cite this article

Abstract

Nonrelativistic, classical statistical mechanics is used to describe a dense fluid of molecules composed of nuclei and electrons with purely Coulomb interaction potentials. A general equation of change is derived for the time rate of change of any macroscopic (ensemble averaged) dynamical variable. From this general equation, Maxwell's equations in a medium are derived and expressed in terms of molecular properties, e.g., polarization and magnetization densities.

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Authors and Affiliations

  1. Department of Chemistry, St. John's University, Jamaica, New York

    R. J. Beshinske

  2. Theoretical Chemistry Institute, University of Wisconsin, Madison, Wisconsin

    C. F. Curtiss

Authors
  1. R. J. Beshinske
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  2. C. F. Curtiss
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Additional information

This research was carried out in part under Grant NsG-275-62 from the National Aeronautics and Space Administration and in part under a grant from the National Science Foundation. This paper is based on a thesis submitted by R. J. B. to the Graduate School of the University of Wisconsin in partial fulfillment of the requirements for the Ph.D. degree.

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Beshinske, R.J., Curtiss, C.F. A statistical derivation of the hydrodynamic equations of change for a system of ionized molecules. I. General equation of change and the Maxwell equations. J Stat Phys 1, 163–174 (1969). https://doi.org/10.1007/BF01007248

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  • DOI: https://doi.org/10.1007/BF01007248

Key words

  • Maxwell equations
  • Hydrodynamic equation
  • Magnetohydrodynamic equations
  • Polarization
  • Magnetization
  • Ionized systems