Abstract
The equations of motion of statistical mechanics are first-order differential equations for the evolution of statistical ensembles in time. In quantum statistics [2.1] the von Neumann equation [2.2] describes the evolution of the statistical operator; in classical statistics the Liouville equation [2.3] describes the evolution of the statistical distribution function.
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References
Kadanoff, L.P., Baym, G.: Quantum Statistical Mechanics (Benjamin, New York 1962 )
Neumann, J. von: Z. Phys. 57, 30 (1929)
Liouville, J.: J. de Math. 3, 348 (1838)
Brenig, W.: Statistische Theorie der Wärme I. Gleichgewicht, 2nd ed. ( Springer, Berlin, Heidelberg 1983 )
Kadanoff, L.P., Martin, P.C.: Ann. Phys. 24,419 (1963). A slightly different but similar initial condition is used by Zubarev, D.N.: Nonequilibrium Thermodynamics (Consultants Bureau, New York 1974). Translation of Russian original from 1971
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© 1989 Springer-Verlag Berlin Heidelberg
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Brenig, W. (1989). General Equations of Motion of Statistical Physics. In: Statistical Theory of Heat. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-74685-7_2
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DOI: https://doi.org/10.1007/978-3-642-74685-7_2
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