Nonequilibrium ensembles

Y. Sobouti

Physica A: Statistical Mechanics and its Applications, 1990, vol. 168, issue 3, 1021-1034

Abstract: It is suggested to formulate a nonequilibrium ensemble theory by maximizing a time-integrated entropy constrained by Liouville's equation. This leads to distribution functions of the form f = Z−1exp(-gkT), where g(p, q, t) is a solution of Liouville's equation. A further requirement that the entropy should be an additive functional of the integrals of Liouville's equation, limits the choice of g to linear superpositions of the nonlinearly independent integrals of motion. Time-dependent and time-independent integrals may participate in this superposition.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:168:y:1990:i:3:p:1021-1034

DOI: 10.1016/0378-4371(90)90269-X

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