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Critical comparison of some theories of classical irreversible statistical mechanics

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. / Science, Faculty of / Physics and Astronomy, Department of / Graduate

Identiferoai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/37510
Date January 1969
CreatorsSeagraves, Paul Henry
PublisherUniversity of British Columbia
Source SetsUniversity of British Columbia
LanguageEnglish
Detected LanguageEnglish
TypeText, Thesis/Dissertation
RightsFor non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.

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