Titlebook: Dynamics of Dissipation; Piotr Garbaczewski,Robert Olkiewicz Book 2002 Springer-Verlag Berlin Heidelberg 2002 chaos.decoherence.dissipatio

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Thermodynamic Behavior of Large Dynamical Systemsr map as typical examples. One of them is for infinitely extended systems and the other is based on dynamical systems theory. In both cases, a class of initial states, where reservoirs are in different equilibria, unidirectionally evolve towards the thermodynamically normal steady state for . → +..

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adroit

Scaling Limits of Schrödinger Quantum Mechanicss jointly with H.T. Yau in more details. The first one is the derivation of the linear Boltzmann equation as the long time limit of the one-body Schrödinger equation with a random potential. The second one is the mean field limit of high density bosons with Coulomb interaction that leads to the nonl

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0075-8450 s treats the dynamics of open systems with a strong emphasis on dissipation phenomena related to dynamical chaos. This research area is very broad, covering topics such as nonequilibrium statistical mechanics, environment-system coupling (decoherence) and applications of Markov semi-groups to name b

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s in the context of Irreversible Thermodynamics is discussed, along with some examples of thermostatted fluids, to familiarize the reader with the subject. It is also shown that thermostatted systems ought not to be Hamiltonian, and several fluctuation relations are illustrated.

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Singular integrals on curves and surfaces,th entropy productions are shown to be nonnegative and consistent with thermodynamics. Moreover, for the open multibaker map, they are shown to be equivalent with each other in a macroscopic scaling limit.

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Some Recent Advances in Classical Statistical Mechanicsarge deviations, possibly far away from equilibrium. Furthermore an attempt is made to place the statistics introduced by Tsallis some time ago, in the general context of statistical mechanics. This is based on a remark by Einstein and the consistency of this statistics with some recent experiments on fully developed turbulence.

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