Entropy in nonequilibrium statistical mechanics

SEP 01, 1966

Statistical mechanics aims at deriving from first principles an entropy theorem that guarantees approach to thermodynamic equilibrium. The theory for dilute gases initiated by Boltzmann and formalized by Bogolyubov has been recently completed. But efforts to include the three‐particle interactions in gases that are dense encounter intense difficulties.

DOI: 10.1063/1.3048468

Arnold H. Kritz

Guido Sandri

SINCE ANCIENT TIMES describing the behavior of macroscopic matter in terms of dynamic principles that govern its microscopic constituents has fascinated physicists. Foundations of the modern understanding were laid by Ludwig Boltzmann in the latter part of the 19th century. From physical arguments concerning the probable number of binary collisions (the Stosszahlansatz based on the principle of molecular chaos), Boltzmann deduced a “kinetic” equation satisfied by the probability distribution function.

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More about the Authors

Arnold H. Kritz. Aeronautical Research Associates, Princeton University.

Guido Sandri. Aeronautical Research Associates, Princeton University.