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- W1566293559 abstract "This chapter presents the coherent and unified treatment of thermodynamic concepts and methods in geophysics. It introduces the fundamentals of thermodynamics, nonlinear dynamics, chaos theory, and their applications to different geophysical phenomena. The chapter also describes the essence of chaos and the peculiarities of the concept of Lyapounov exponents. The evolution processes of earth are based on thermodynamic equilibrium. In the thermodynamics of reversible processes, the thermodynamic quantities are defined for equilibrium states. In the thermodynamics of irreversible processes, on the other hand, equilibrium-defined quantities are used to describe nonequilibrium states. Thus, irreversible thermodynamics involves a distinct inconsistency. To account for it, the concept of local equilibrium is considered. It consists in assuming for irreversible processes the same functional relationship for thermodynamic quantities as in the case of equilibrium states. The theory of nonlinear dynamics began with Poincare's pioneering work on the dynamics of the n -body problem in celestial mechanics. The conclusion was then drawn that nonlinear systems demonstrate complex behavior." @default.
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- W1566293559 date "2001-01-01" @default.
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- W1566293559 title "Thermodynamics of Chaos and Fractals Applied: Evolution of the Earth and Phase Transformations" @default.
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- W1566293559 doi "https://doi.org/10.1016/s0074-6142(01)80078-4" @default.
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