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Dynamics of Dissipation / edited by Piotr Garbaczewski, Robert Olkiewicz
Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer eBook Collection | Lecture notes in physics ; 597Publisher: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2002Description: Online-RessourceISBN:- 9783540461227
- 621 23
- 003/.857
- 003.857
- 530
- QC174.85
Contents:
Summary: Nonequilibrium Dynamics -- Some Recent Advances in Classical Statistical Mechanics -- Deterministic Thermostats and Flctuation Relations -- What Is the Microscopic Response of a System Driven Far From Equilibrium? -- Non-equilibrium Statistical Mechanics of Classical and Quantum Systems -- Dynamics of Relaxation and Chaotic Behaviour -- Dynamical Theory of Relaxation in Classical and Quantum Systems -- Relaxation and Noise in Chaotic Systems -- Fractal Structures in the Phase Space of Simple Chaotic Systems with Transport -- Dynamical Semigroups -- Markov Semigroups and Their Applications -- Invitation to Quantum Dynamical Semigroups -- Finite Dissipative Quantum Systems -- Complete Positivity in Dissipative Quantum Dynamics -- Quantum Stochastic Dynamical Semigroup -- Driving, Dissipation and Control in Quantum Systems -- Driven Chaotic Mesoscopic Systems, Dissipation and Decoherence -- Quantum State Control in Cavity QED -- Solving Schrödinger’s Equation for an Open System and Its Environment -- Dynamics of Large Systems -- Thermodynamic Behavior of Large Dynamical Systems -- Coherent and Dissipative Transport in Aperiodic Solids: An Overview -- Scaling Limits of Schrödinger Quantum Mechanics.Summary: This collection of lectures 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 but a few. The book addresses not only experienced researchers in the field but also nonspecialists from related areas of research, postgraduate students wishing to enter the field and lecturers searching for advanced textbook material.PPN: PPN: 1645961915Package identifier: Produktsigel: ZDB-2-BAE | ZDB-2-LNP | ZDB-2-PHA | ZDB-2-SEB | ZDB-2-SXP
""Lecture Notes in Physics""; ""Dynamics of Dissipation""; ""Preface""; ""Table of Contents""; ""List of Contributors""; ""Introduction""; ""Some Recent Advances in Classical Statistical Mechanics""; ""Introduction""; ""1 Dynamical Systems and Statistical Mechanics""; ""1.1 The SRB Distribution""; ""1.2 Construction of the SRB Distribution[4]""; ""1.3 The Fluctuation Theorem""; ""2 Statistics and Dynamics""; ""2.1 Boltzmann�s Statistics""; ""2.2 Boltzmann-Einstein Statistics[23,24]""; ""2.3 Einstein�s Criticism of S = kB logW[23,24]""; ""2.4 Tsallis “Entropy� (1988)""
""2.5 q-Thermodynamics""""2.6 Relevance of Tsallis Statistics""; ""A. The Lewis-Swinney Experiment""; ""B. The La Porta et al Experiment[29]""; ""C. Beck�s Theory""; ""a. Simple Beck Theory[30]""; ""b. Extended Beck Theory""; ""3 Conclusions""; ""Acknowledgement""; ""References""; ""Deterministic Thermostats and Fluctuation Relations""; ""1 Introduction""; ""1.1 Molecular Dynamics""; ""1.2 Hamiltonian versus Non-Hamiltonian Dynamics""; ""2 Thermostats""; ""2.1 Gaussian Thermostats""; ""2.2 Nosé-Hoover Thermostat""; ""2.3 Dirac Brackets""; ""2.4 Pump-Billiard Thermostat""
""3 Properties of Thermostatted Dynamics""""3.1 Equivalence of Isokinetic and Isoenergetic Thermostats""; ""3.2 Equivalence of Turbulence Models""; ""3.3 Onsager Relations for Gaussian Isoenergetic Dynamics""; ""3.4 Pump-Billiard Nonnegative Current""; ""3.5 Temperature for Gaussian Isokinetic Dynamics""; ""4 Fluctuation Relations""; ""4.1 Chaotic Hypothesis""; ""4.2 Gallavotti-Cohen Fluctuation Theorem""; ""4.3 Evans-Searles Theorem""; ""4.4 Modi.ed Fluctuation Relations""; ""5 Numerical Results""; ""6 Experimental Results""; ""7 Discussion""; ""Chaos and Irreversible Thermodynamics""
""Acknowledgements""""References""; ""What Is the Microscopic Response of a System Driven Far From Equilibrium?""; ""Introduction""; ""1 Thermodynamics �Brief Review of Relevant Facts""; ""2 Statistical Mechanics �Notation and Review""; ""3 Central Result �A Prediction""; ""4 Derivations""; ""4.1 Hamiltonian Evolution""; ""4.2 Langevin Evolution""; ""4.3 Thermal Markov Dynamics""; ""4.4 Other Derivations""; ""5 The Nonequilibrium Work Relation""; ""6 Relation to Second Law of Thermodynamics""; ""7 Nonequilibrium Stationary States""; ""8 Conclusions""; ""Acknowledgment""; ""References""
""Non-equilibrium Statistical Mechanics of Classical and Quantum Systems""""1 Introduction""; ""2 Some Results from Classical Non-equilibrium Statistical Mechanics""; ""Thermal Conductivity""; ""Temperature Profile""; ""Boundary Jumps""; ""Observables""; ""Far from Equilibrium Spatial Dependence""; ""Breaking of Local Equilibrium""; ""Corrections to Linear Response""; ""Non-equilibrium Equation of State""; ""Dimensional Loss""; ""Non-equilibrium Temperature Renormalization""; ""Summary of Classical Results""; ""3 Dynamical Quantum Heat Baths""; ""Heat Bath Model""
""Influence Functional Approach""
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