Abstract
Due to the work of Ch. DARWIN, selforganization in nature became a central problem of science. Only recently (1977–1978), however, the basis of a theory of selforganization was formulated by I. PRIGOGINE, H. HAKEN and others. In many cases selforganization can be understood as a succession of non-equilibrium phase transitions taking place if one or several control parameters are varied. In this connection the question arises how to compare the degree of order and disorder or chaos respectively of the different states of the system under consideration.
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References
W. Ebeling, Yu.L. Klimontovich: Selforganization and Turbulence in Liquids (Teubner, Berlin 1984)
H. Haken: Synergetics (Springer, Berlin Heidelberg New York 1978; Mir, Moscow 1980)
H. Haken: Advanced Synergetics (Springer, Berlin Heidelberg New York Tokyo 1983; Mir, Moscow 1984)
Yu.L. Klimontovich: Statistical Physics (Nauka, Moscow 1982; Gordon and Breach, Harwood Academic Publishers, New York 1985)
Yu.L. Klimontovich: Brownian motion and turbulence: entropy, entropy production with laminar and turbulent motions. In: Nonlinear and Turbulent Processes in Physics (Gordon and Breach, Harwood Academic Publishers, New York 1984)
G. Nicblis, I. Prigogine: Selforganization in Nonequilibrium Systems (Wiley, New York 1977; Mir, Moscow 1979)
N.S. Krylov: Works on the Foundation of Statistical Physics (Nauka, Moscow 1950; Princeton University Press, Princeton 1979)
G. Nicolis, G. Oewel, J. Turner: Order and Fluctuations in Equilibrium and Nonequilibrium Statistical Mechanics, XVlIth International Solvay Conference on Physics (Wiley, New York 1981)
I. Prigogine, I. Stengers: Order out of Chaos (Bantam Books, Toronto New York London 1984)
Z.M. Zaslavskij: Stochasticity of dynamical systems (Nauka, Moscow 1984)
A.J. Lichtenberg, M.A. Lieberman: Regular and Stochastic Motion (Springer, Berlin Heidelberg New York 1983; Nauka, Moscow 1984)
Yu.L. Klimontovich: Turbulent Motion. The Structure of Chaos (Springer, in press)
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© 1986 Springer-Verlag Berlin Heidelberg
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Klimontovich, Y.L. (1986). Entropy in Time Averaging. In: Ebeling, W., Ulbricht, H. (eds) Selforganization by Nonlinear Irreversible Processes. Springer Series in Synergetics, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71004-9_2
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DOI: https://doi.org/10.1007/978-3-642-71004-9_2
Publisher Name: Springer, Berlin, Heidelberg
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