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Prog. Theor. Phys. Vol. 67 No. 1 (1982) pp. 345-348
Letters
The Universal Evolution Criterion by Prigogine and Glansdorff in the Self-Synchronization of Nonlinear Oscillators
Hiroshi Shimizu and
Yoko Yamaguchi
Faculty of Pharmaceutical Sciences, University of Tokyo, Tokyo 113
(Received October 26, 1981)
Abstract:
It is shown that the universal evolution criterion with excess entropy production by Glansdorff and Prigogine holds in the self-synchronization of microscopic oscillations, provided that the thermodynamic force is properly defined. The applicability of the present conclusion to more general cases are also discussed.
URL :
http://ptp.ipap.jp/link?PTP/67/345/
DOI : 10.1143/PTP.67.345
References:
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P. Glansdorff and I. Prigogine, Physica 20 (1954), 773[CrossRef].
- P. Glansdorff and I. Prigogine, Thermodynamic Theory of Structure, Stability and Fluctuations (Wiley-Interscience, New York, 1971).
- K. Ishida, J. Theor. Biol. 65 (1977), 1.
- W.-H. Steeb, Physica A 65 (1979), 181.
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Y. Kuramoto, Physica A 106 (1981), 128[CrossRef].
- Y. Yamaguchi, K. Kometani and H. Shimizu, J. Stat. Phys. 26 (1981), 653.
- Y. Yamaguchi and H. Shimizu, private communication.
- Y. Kuramoto and T. Tsuzuki, Prog. Theor. Phys. 54 (1975), 687[PTP].
