Nonequilibrium Statistical Mechanics
Oxford University Press, 19 de abr. de 2001 - 240 páginas
This is a presentation of the main ideas and methods of modern nonequilibrium statistical mechanics. It is the perfect introduction for anyone in chemistry or physics who needs an update or background in this time-dependent field. Topics covered include fluctuation-dissipation theorem; linear response theory; time correlation functions, and projection operators. Theoretical models are illustrated by real-world examples and numerous applications such as chemical reaction rates and spectral line shapes are covered. The mathematical treatments are detailed and easily understandable and the appendices include useful mathematical methods like the Laplace transforms, Gaussian random variables and phenomenological transport equations.
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2 FokkerPlanck Equations
3 Master Equations
4 Reaction Rates
5 Kinetic Models
6 Quantum Dynamics
7 Linear Response Theory
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BGK equation Brownian motion Brownian particle calculation coefficient collision contains continued fraction coordinates correlation function decays defined delta function denoted density matrix dependence derivation deviation from equilibrium diagonal differential equation dipole distribution function dynamical variable earlier energy ensemble equations of motion equilibrium average equilibrium distribution example exponential factor fluctuation-dissipation theorem fluctuations fluid Fokker-Planck equation Fourier transform frequency friction Gaussian Hamiltonian harmonic oscillator heat bath Hilbert space hydrodynamic initial condition initial distribution initial value inner product integral kinetic model Laplace transform limit linear Langevin equations Liouville equation Liouville operator master equation mean squared memory function memory kernel molecular momentum noise non-Markovian nonlinear Langevin equation normalized perturbation phase space projection operator quadratic quantity quantum mechanical random replaced result slow variables solution statistical mechanics subspace thermal equilibrium time-dependent tion transition rates unperturbed vanishes vector velocity correlation function zero
Página v - One of the principal objects of theoretical research in any department of knowledge is to find the point of view from which the subject appears in its greatest simplicity.
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