Contents -- 1. Brownian Motion and Langevin Equations -- 1.1 Langevin Equation and the Fluctuation-Dissipation Theorem -- 1.2 Time Correlation Functions -- 1.3 Correlation Functions and Brownian Motion -- 1.4 Brownian Motion of Other Variables -- 1.5 Generalizations of Langevin Equations -- 1.6 Brownian Motion in a Harmonic Oscillator Heat Bath -- 1.7 Heavy Mass in a Harmonic Lattice -- 2. Fokker-Planck Equations -- 2.1 Liouville Equation in Classical Mechanics -- 2.2 Fokker-Planck Equations -- 2.3 About Fokker-Planck Equations -- 3. Master Equations -- 3.1 The Golden Rule -- 3.2 Optical Absorption Coefficient -- 3.3 Quantum Mechanical Master Equations -- 3.4 Other Kinds of Master Equations -- 4. Reaction Rates -- 4.1 Transition State Theory -- 4.2 The Kramers Problem and First Passage Times -- 4.3 The Kramers Problem and Energy Diffusion -- 5. Kinetic Models -- 5.1 Kinetic Models -- 5.2 Kinetic Models and Rotational Relaxation -- 5.3 BGK Equation and the H-Theorem -- 5.4 BGK Equation and Hydrodynamics -- 6. Quantum Dynamics -- 6.1 The Quantum Liouville Operator -- 6.2 Electron Transfer Kinetics -- 6.3 Two-Level System in a Heat Bath: Dephasing -- 6.4 Two-Level System in a Heat Bath: Bloch Equations -- 6.5 Master Equation Revisited -- 7. Linear Response Theory -- 7.1 Static Linear Response -- 7.2 Dynamic Linear Response -- 7.3 Applications of Linear Response Theory -- 8. Projection Operators -- 8.1 Projection Operators and Hilbert Space -- 8.2 Derivation of Generalized Langevin Equations -- 8.3 Noise in Generalized Langevin Equations -- 8.4 Generalized Langevin Equations-Some Identities -- 8.5 From Nonlinear to Linear-An Example -- 8.6 Linear Langevin Equations for Slow Variables -- 9. Nonlinear Problems -- 9.1 Mode-Coupling Theory and Long Time Tails -- 9.2 Derivation of Nonlinear Langevin Equations and Fokker-Planck Equations.

9.3 Nonlinear Langevin Equations and Fokker-Planck Equations for Slow Variables -- 9.4 Kinds of Nonlinearity -- 9.5 Nonlinear Transport Equations -- 10. The Paradoxes of Irreversibility -- Appendixes -- 1 First-Order Linear Differential Equations -- 2 Gaussian Random Variables -- 3 Laplace Transforms -- 4 Continued Fractions -- 5 Phenomenological Transport Equations -- References -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- V.