Titlebook: Statistical Theory of Heat; Nonequilibrium Pheno Wilhelm Brenig Textbook 1989 Springer-Verlag Berlin Heidelberg 1989 Brownian motion.Correl

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IntroductionThis elementary fact is an essential ingredient of theories describing macroscopic physics (frictional motion in mechanics, viscous flow, electrical conduction, conduction of heat, diffusion, chemical reactions, etc.). Nonequilibrium “irreversible” thermodynamics provides a common framework for all such phenomena.

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Brownian Motion (Oscillator)A second simple and important example is the Brownian motion of a harmonic oscillator [5.1–3]. Calling the displacement of the oscillator from its equilibrium position (.. = 0) .(.), one obtains the equation of motion in the presence of an external force ..

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The High-Frequency Behaviour of Response FunctionsThe behaviour of response functions .(.) and ..(.) at high frequencies . can be most easily obtained from the spectral representation (6.5), i.e. . by a power expansion in descending powers of .. This leads to a series

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The Increase of Entropy and IrreversibilityThe increase of entropy in time is a very basic property of nonequilibrium processes. We discuss it on three different levels of generality.

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https://doi.org/10.1007/978-3-642-74685-7Brownian motion; Correlation Functions; Diffusion; Irreversible Thermodynamics; Nonequilibrium Phenomena

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978-3-642-74687-1Springer-Verlag Berlin Heidelberg 1989

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Brownian Motion (Relaxator)nt to demonstrate how some well-known results manifest themselves in the framework of the formalism of the foregoing sections. Secondly, we want to use the equations of Brownian motion as a heuristic starting point for more general kinetic equations.