Evolution of a dissipative structure as a model of the process in an earthquake focus: analogies in living systems and chemical kinetics
DOI:
https://doi.org/10.15407/dopovidi2014.03.104Keywords:
dissipative structure, earthquake, modelAbstract
The assumption is made that the emergence, evolution, and decay of a dissipative structure similar to hexagonal Benard cells in a media or a substance with nonlinear properties may cause a phenomenon perceived as the earthquake focus. It is asserted that an effective description of the phenomenon is only feasible in terms of axiomatically built mechanics of excitable media, as an option of the classical kinematic focus models “embedded” in the scheme. The thesis is illustrated by the juxtaposition with a variety of autowave processes in biological and chemical systems.
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References
Misner C., Wheeler J. Classical physics as geometry. In: Albert Einstein and the theory of gravitation. Moscow: Mir, 1979: 542–554 (in Russian).
Burridge R., Willis J. Proc. Cambr. Phil. Soc., 1969, 66: 443–468. https://doi.org/10.1017/S0305004100045199
Sato T., Hirasawa T. J. Phys. Earth., 1973, 21: 415–431. https://doi.org/10.4294/jpe1952.21.415
Dahlen F. A. Bull. Seism. Soc. Amer., 1974, 64: 1159–1180.
Volkenshtein, M. V. Biophysics. Moscow: Nauka, 1988 (in Russian).
Romanovsky Yu. M., Stepanova N. V., Chernovsky D. S. Mathematical Biophysics. Moscow: Nauka, 1984 (in Russian).
Field R., Burger M. Oscillations and traveling waves in chemical systems. Moscow: Mir, 1988 (in Russian).
Haskell N. A. Bull. Seism. Soc. Amer., 1969, 59: 865–908.
Zhabotinsky A. M. Concentration self-oscillations. Moscow: Nauka, 1974 (in Russian).
Orbán M. J. Am. Chem. Soc., 1980, 102, No. 13: 4311–4314. https://doi.org/10.1021/ja00533a004
Molnar P., Tucker B. E., Brune J. N. Bull. Seism. Soc. Amer., 1973, 63: 2091. – 2104.
Pate E. F., Odell G. M. J. Theor. Biol., 1981, 88, No. 2: 201–208. https://doi.org/10.1016/0022-5193(81)90071-0
Antzelevitch C., Jalife J., Moe G. K. Circulation, 1980, 61, No. 1: 182–191. https://doi.org/10.1161/01.CIR.61.1.182
Westerfield M., Joyner R.W., Moore J.W. J. Neurophysiol., 1978, 41, No. 1: 1–8.
Joyner R.W., Westerfield M., Moore J.W. Biophys. J., 1980, 31, No. 2: 183–194. https://doi.org/10.1016/S0006-3495(80)85049-1
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