Nonequilibrium Statistical MechanicsOxford 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. |
Conteúdo
| 3 | |
2 FokkerPlanck Equations | 30 |
3 Master Equations | 48 |
4 Reaction Rates | 67 |
5 Kinetic Models | 83 |
6 Quantum Dynamics | 101 |
7 Linear Response Theory | 127 |
8 Projection Operators | 143 |
9 Nonlinear Problems | 169 |
10 The Paradoxes of Irreversibility | 193 |
Appendixes | 198 |
| 211 | |
| 213 | |
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Termos e frases comuns
approximation Brownian motion Brownian particle calculation coefficient collision contains continued fraction coordinates correlation function decays defined delta function denoted density matrix dependence derivation diagonal differential equation 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 hydrodynamic initial condition initial distribution initial value inner product integral kinetic model Langevin equation Laplace transform limit linear response Liouville equation Liouville operator Markovian master equation memory function memory kernel molecular momentum noise non-Markovian nonlinear Langevin equation normalized p₁ perturbation phase space projection operator quantity quantum mechanical random replaced result slow variables solution statistical mechanics subspace theory thermal equilibrium time-dependent tion transition rates unperturbed vanishes vector velocity correlation function zero др
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