LEADER 05519nam 22007333u 450 001 9910812835203321 005 20240313173503.0 010 $a3-527-67139-0 010 $a1-299-31358-2 010 $a3-527-67057-2 035 $a(CKB)2560000000100714 035 $a(EBL)1143571 035 $a(OCoLC)830161752 035 $a(SSID)ssj0000904850 035 $a(PQKBManifestationID)12401316 035 $a(PQKBTitleCode)TC0000904850 035 $a(PQKBWorkID)10925566 035 $a(PQKB)10545183 035 $a(MiAaPQ)EBC1143571 035 $a(EXLCZ)992560000000100714 100 $a20131223d2013|||| u|| | 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNonequilibrium Statistical Physics 205 $a1st ed. 210 $aHoboken $cWiley$d2013 215 $a1 online resource (398 p.) 225 0 $aPhysics textbook Nonequilibrium statistical physics 300 $aDescription based upon print version of record. 311 $a3-527-41092-9 327 $aNonequilibrium Statistical Physics; Contents; Preface; 1 Introduction; 1.1 Irreversibility: The Arrow of Time; 1.1.1 Dynamical Systems; 1.1.2 Thermodynamics; 1.1.3 Ensembles and Probability Distribution; 1.1.4 Entropy in Equilibrium Systems; 1.1.5 Fundamental Time Arrows, Units; 1.1.6 Example: Ideal Quantum Gases; 1.2 Thermodynamics of Irreversible Processes; 1.2.1 Quasiequilibrium; 1.2.2 Statistical Thermodynamics with Relevant Observables; 1.2.3 Phenomenological Description of Irreversible Processes; 1.2.4 Example: Reaction Rates 327 $a1.2.5 Principle of Weakening of Initial Correlations and the Method of Nonequilibrium Statistical OperatorExercises; 2 Stochastic Processes; 2.1 Stochastic Processes with Discrete Event Times; 2.1.1 Potentiality and Options, Chance and Probabilities; 2.1.2 Stochastic Processes; 2.1.3 Reduced Probabilities; 2.1.4 Properties of Probability Distributions: Examples; 2.1.5 Example: One-Step Process on a Discrete Space-Time Lattice and Random Walk; 2.2 Birth-and-Death Processes and Master Equation; 2.2.1 Continuous Time Limit and Master Equation; 2.2.2 Example: Radioactive Decay 327 $a2.2.3 Spectral Density and Autocorrelation Functions2.2.4 Example: Continuum Limit of Random Walk and Wiener Process; 2.2.5 Further Examples for Stochastic One-Step Processes; 2.2.6 Advanced Example: Telegraph Equation and Poisson Process; 2.3 Brownian Motion and Langevin Equation; 2.3.1 Langevin Equation; 2.3.2 Solution of the Langevin Equation by Fourier Transformation; 2.3.3 Example Calculations for a Langevin Process on Discrete Time; 2.3.4 Fokker-Planck Equation; 2.3.5 Application to Brownian Motion; 2.3.6 Important Continuous Markov Processes 327 $a2.3.7 Stochastic Differential Equations and White Noise2.3.8 Applications of Continuous Stochastic Processes; Exercises; 3 Quantum Master Equation; 3.1 Derivation of the Quantum Master Equation; 3.1.1 Open Systems Interacting with a Bath; 3.1.2 Derivation of the Quantum Master Equation; 3.1.3 Born-Markov and Rotating Wave Approximations; 3.1.4 Example: Harmonic Oscillator in a Bath; 3.1.5 Example: Atom Coupled to the Electromagnetic Field; 3.2 Properties of the Quantum Master Equation and Examples; 3.2.1 Pauli Equation; 3.2.2 Properties of the Pauli Equation, Examples 327 $a3.2.3 Discussion of the Pauli Equation3.2.4 Example: Linear Coupling to the Bath; 3.2.5 Quantum Fokker-Planck Equation; 3.2.6 Quantum Brownian Motion and the Classical Limit; Exercises; 4 Kinetic Theory; 4.1 The Boltzmann Equation; 4.1.1 Distribution Function; 4.1.2 Classical Reduced Distribution Functions; 4.1.3 Quantum Statistical Reduced Distribution Functions; 4.1.4 The Stoßzahlansatz; 4.1.5 Derivation of the Boltzmann Equation from the Nonequilibrium Statistical Operator; 4.1.6 Properties of the Boltzmann Equation; 4.1.7 Example: Hard Spheres; 4.1.8 Beyond the Boltzmann Kinetic Equation 327 $a4.2 Solutions of the Boltzmann Equation 330 $aAuthored by one of the top theoretical physicists in Germany, and a well-known authority in the field, this is the only coherent presentation of the subject suitable for masters and PhD students, as well as postdocs in physics and related disciplines.Starting from a general discussion of the nonequilibrium state, different standard approaches such as master equations, and kinetic and linear response theory, are derived after special assumptions. This allows for an insight into the problems of nonequilibrium physics, a discussion of the limits, and suggestions for improvements. Applications 606 $aNonequilibrium statistical mechanics 606 $aStatistical mechanics 606 $aStatistical physics 606 $aNonequilibrium statistical mechanics$vTextbooks 606 $aPhysics$2HILCC 606 $aPhysical Sciences & Mathematics$2HILCC 606 $aAtomic Physics$2HILCC 615 4$aNonequilibrium statistical mechanics. 615 4$aStatistical mechanics. 615 4$aStatistical physics. 615 0$aNonequilibrium statistical mechanics 615 7$aPhysics 615 7$aPhysical Sciences & Mathematics 615 7$aAtomic Physics 676 $a530.13 700 $aRo?pke$b Gerd$0542460 702 $aRčopke$b Gerd 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9910812835203321 996 $aNonequilibrium Statistical Physics$94081944 997 $aUNINA