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Critical comparison of some theories of classical irreversible statistical mechanics Seagraves, Paul Henry

Abstract

The infinite order perturbation theory of Prigogine and coworkers is used, with some modifications, to discuss the theories of classical irreversible processes due to Bogoliubov, Sandri & Frieman, and Mazur & Biel. The latter authors use the BBKGY hierarchy of equations as a starting point. Accordingly, to discuss these theories the infinite order perturbation theory is written out in such a way that it relates easily to the BBKGY hierarchy. The nature of the assumptions involved in the theories of Bogoliubov and Sandri & Frieman become particularly clear when compared with the infinite order perturbation expansion. The relation of the theory of Mazur & Biel with the cluster expansion of Green is also elucidated.

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