The Nonequilibrium Statistical Mechanics of Open and Closed Systems

Part 1 Introduction: evolution of complex systems langevin equations some problems. Part 2 Evolution of probability: stochastic rate equations single degree of freedom delta-correlated gaussian fluctuation many degrees of freedom fluctuations with a finite correlation time (colored noise) statistical measures. Part 3 Open systems: thermodynamic properties (nonequilibrium) dye laser with a fluctuating pump parameter chemical reaction with a fluctuating rate coefficient bistable stochastic systems mechanical oscillators with fluctuating frequences kubo oscillator (semiclassical) Lorenz model (connection with chaos) odds and ends. Part 4 Closed systems (Hamiltonian systems) thermodynamic properties (nonequilibrium) projection operator techniques explicit integration method harmonic oscillator in a real fluid. Part 5 Reduced descriptions of non-Hamiltonian systems: statistical fluctuations in fluid flow decimation procedure projection method explicit integration method. Part 6 Evolution of quantum systems: reduced density matrix (dynamical bath) reduced density matrix (c-number fluctuations). Part 7 Open systems (c-number fluctuations): linear oscillator Haken-Strobi-Reineker (HSR) model spin relaxations in an external fluctuating magnetic field. Part 8 Closed quantum systems (operator fluctuations): linear quantum oscillators two-evel system in a linear bath stochastic liouville equations nonlinear coupling in bath variables conclusions.