Derivation of the fundamental equations of continuum thermodynamics from statistical mechanics

Abstract

Assuming a classical statistical system of point particles the fundamental equations of continuum thermomechanics (continuity equation, equation of motion, and energy equation) shall be derived exactly. The macroscopic state functions (density, velocity, stress, energy density, heat flux) are interpreted as expected values.

arXiv comment18 page file, one figure. The submission is an English translation of a 1955 paper published originally in German. The translation is due to Richard B. Lehoucq and Anatole Von Lilienfeld-Toal (see the acknowledgements appearing on the first page)

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