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
| Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/37510 |
| Date | January 1969 |
| Creators | Seagraves, Paul Henry |
| Publisher | University of British Columbia |
| Source Sets | University of British Columbia |
| Language | English |
| Detected Language | English |
| Type | Text, Thesis/Dissertation |
| Rights | For 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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