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Titlebook: Stochastic Dynamics; Lutz Schimansky-Geier,Thorsten Pöschel Conference proceedings 1997 Springer-Verlag Berlin Heidelberg 1997 Branching p

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0075-8450 field of research within nonequilibrium statistical physics. The present volume provides a survey on the influence of fluctuations in nonlinear dynamics. It addresses specialists, although the intention of this book is to provide teachers and students with a reliable resource for seminar work. In p
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From stratonovich calculus to noise-induced phase transitions, of such equations are contrasted with each other. We formulate a mean field theory for spatially distributed models with multiplicative noise, and present a simple model that displays a noise-induced phase transition.
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Colored noise in dynamical systems: Some exact solutions,at can be exactly solved in terms of single variable Fokker-Planck equations. I further discuss an exactly solvable linear model with multiplicative colored noise, where the noise color mediates a stochastic-resonance like behavior.
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The boltzmann equation for the gas of partly inelastic balls with regard to random interaction forcevin forces. They compensate the energy loss during collisions. The statistical properties of the force impulses are found; they are Gaussian and have zero mean values. In this case the Boltzmann integral contains additional averaging with respect to the random impulses..In the last Section the case
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A diffusion-limited reaction,amics by juxtaposing the macroscopic dynamics of a cellular automaton model for the diffusion-controlled limit to the deterministic diffusion-reaction rate equation for the same reaction. A more detailed N-body master equation is then presented in which explicit diffusion-controlled limits are expla
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Quantum transition state theory for multidimensional dissipative systems,r temperatures above the crossover temperature from quantum tunnelling to thermal activation) is a quantum mechanical generalisation of a rate expression derived by Langer for the analogous classical problem. The quantum rate expression is also a generalisation of a quantum rate theory of Wolynes to
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