The Nonadditive Generalization of Klimontovich's S-Theorem for Open Systems and Boltzmann's Orthodes Page: I
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Bagci, Gokhan Baris. The Nonadditive Generalization of Klimontovich's S-
Theorem for Open Systems and Boltzmann's Orthodes. Doctor of Philosophy (Physics),
August 2008, 97 pp., 7 illustrations, references, 114 titles.
We show that the nonadditive open systems can be studied in a consistent
manner by using a generalized version of S-theorem. This new generalized S-theorem
can further be considered as an indication of self-organization in nonadditive open
systems as prescribed by Haken. The nonadditive S-theorem is then illustrated by using
the modified Van der Pol oscillator. Finally, Tsallis entropy as an equilibrium entropy is
studied by using Boltzmann's method of orthodes. This part of dissertation shows that
Tsallis ensemble is on equal footing with the microcanonical, canonical and grand
canonical ensembles. However, the associated entropy turns out to be Renyi entropy.
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Bagci, Gokhan Baris. The Nonadditive Generalization of Klimontovich's S-Theorem for Open Systems and Boltzmann's Orthodes, dissertation, August 2008; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc9124/m1/2/?q=%22Kobe%2C%20Donald%20H.%22: accessed May 6, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .