Statistical Derivation of Hydrodynamics for a Coulomb System

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Abstract
The equations of hydrodynamics, derived by Irving and Kirkwood for short‐range interactions, are here derived for a classical system with Coulomb interactions. The stress tensor, energy density, and energy flux density each consist of a kinetic term, a self‐consistent field term, and a correlation term. The correlation terms are meaningful for systems whose correlation length is small compared to the macroscopic scale of length. No restriction is placed upon the density of the system, nor upon the time scale.