Abstract
A new type of dissipation function which does not satisfy the Lipschitz condition at equilibrium states is proposed. It is shown that Newtonian dynamics supplemented by this dissipation function becomes irreversible, i.e., it is not invariant with respect to time inversion. Some effects associated with the approaching of equilibria in infinite time are eliminated. New meanings of chaos and turbulence are discussed.
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References
Drazin, P. G. (1984).Hydrodynamic Stability, Cambridge University Press, Cambridge.
Landau, L. D. (1959).Fluid Mechanics, Pergamon Press, New York, p. 54.
Prigogine, I. (1980).From Being to Becoming, Freeman, San Francisco.
Robertson, D. (1932). The vibrations of revolving shafts,Philosophical Magazine, Series 7,13(8).
Zak, M. (1988).Physics Letters A,2(1), 69–74.
Zak, M. (1989).Applied Mathematics Letters,2(1), 69–74.
Zak, M. (1991).Biological Cybernetics,64, 343–351.
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Zak, M. The problem of irreversibility in Newtonian dynamics. Int J Theor Phys 31, 333–342 (1992). https://doi.org/10.1007/BF00673265
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DOI: https://doi.org/10.1007/BF00673265