Nonequilibrium statistical mechanics / Robert Zwanzig.
2001
QC174.86.N65 Z93 2001eb
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Details
Title
Nonequilibrium statistical mechanics / Robert Zwanzig.
Author
ISBN
9780198032151 (electronic bk.)
0198032153 (electronic bk.)
128053110X
9781280531101
0195140184
9780195140187
9786610531103
6610531102
1429401818
9781429401814
0198032153 (electronic bk.)
128053110X
9781280531101
0195140184
9780195140187
9786610531103
6610531102
1429401818
9781429401814
Imprint
Oxford ; New York : Oxford University Press, 2001.
Language
English
Language Note
English.
Description
1 online resource (ix, 222 pages) : illustrations
Call Number
QC174.86.N65 Z93 2001eb
System Control No.
(OCoLC)71365717
Summary
This book presents the main principles and methods of nonequilibrium statistical mechanics, a topic studied by both chemists and physicists. It is written for graduate students and scientists who already have knowledge of basic equilibrium statistical mechanics and who are interested in the more complex field of time-dependent nonequilibrium statistical mechanics.
Formatted Contents Note
Cover
Contents
146; Brownian Motion and Langevin Equations
146;1 Langevin Equation and the Fluctuation45;Dissipation Theorem
146;2 Time Correlation Functions
146;3 Correlation Functions and Brownian Motion
146;4 Brownian Motion of Other Variables
146;5 Generalizations of Langevin Equations
146;6 Brownian Motion in a Harmonic Oscillator Heat Bath
146;7 Heavy Mass in a Harmonic Lattice
Fokker45;Planck Equations
1 Liouville Equation in Classical Mechanics
2 Fokker45;Planck Equations
3 About Fokker45;Planck Equations
346; Master Equations
346;1 The Golden Rule
346;2 Optical Absorption Coefficient
346;3 Quantum Mechanical Master Equations
346;4 Other Kinds of Master Equations
446; Reaction Rates
446;1 Transition State Theory
446;2 The Kramers Problem and First Passage Times
446;3 The Kramers Problem and Energy Diffusion
546; Kinetic Models
546;1 Kinetic Models
546;2 Kinetic Models and Rotational Relaxation
546;3 BGK Equation and the H45;Theorem
546;4 BGK Equation and Hydrodynamics
646; Quantum Dynamics
646;1 The Quantum Liouville Operator
646;2 Electron Transfer Kinetics
646;3 Two45;Level System in a Heat Bath58; Dephasing
646;4 Two45;Level System in a Heat Bath58; Bloch Equations
646;5 Master Equation Revisited
746; Linear Response Theory
746;1 Static Linear Response
746;2 Dynamic Linear Response
746;3 Applications of Linear Response Theory
846; Projection Operators
846;1 Projection Operators and Hilbert Space
846;2 Derivation of Generalized Langevin Equations
846;3 Noise in Generalized Langevin Equations
846;4 Generalized Langevin Equations8212;Some Identities
846;5 From Nonlinear to Linear8212;An Example
846;6 Linear Langevin Equations for Slow Variables
946; Nonlinear Problems
946;1 Mode45;Coupling Theory and Long Time Tails
946;2 Derivation of Nonlinear Langevin Equations and Fokker45;Planck Equations
946;3 Nonlinear Langevin Equations and Fokker45;Planck Equations for Slow Variables
946;4 Kinds of Nonlinearity
946;5 Nonlinear Transport Equations
1046; The Paradoxes of Irreversibility
Appendixes
1 First45;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
Last Page.
Contents
146; Brownian Motion and Langevin Equations
146;1 Langevin Equation and the Fluctuation45;Dissipation Theorem
146;2 Time Correlation Functions
146;3 Correlation Functions and Brownian Motion
146;4 Brownian Motion of Other Variables
146;5 Generalizations of Langevin Equations
146;6 Brownian Motion in a Harmonic Oscillator Heat Bath
146;7 Heavy Mass in a Harmonic Lattice
Fokker45;Planck Equations
1 Liouville Equation in Classical Mechanics
2 Fokker45;Planck Equations
3 About Fokker45;Planck Equations
346; Master Equations
346;1 The Golden Rule
346;2 Optical Absorption Coefficient
346;3 Quantum Mechanical Master Equations
346;4 Other Kinds of Master Equations
446; Reaction Rates
446;1 Transition State Theory
446;2 The Kramers Problem and First Passage Times
446;3 The Kramers Problem and Energy Diffusion
546; Kinetic Models
546;1 Kinetic Models
546;2 Kinetic Models and Rotational Relaxation
546;3 BGK Equation and the H45;Theorem
546;4 BGK Equation and Hydrodynamics
646; Quantum Dynamics
646;1 The Quantum Liouville Operator
646;2 Electron Transfer Kinetics
646;3 Two45;Level System in a Heat Bath58; Dephasing
646;4 Two45;Level System in a Heat Bath58; Bloch Equations
646;5 Master Equation Revisited
746; Linear Response Theory
746;1 Static Linear Response
746;2 Dynamic Linear Response
746;3 Applications of Linear Response Theory
846; Projection Operators
846;1 Projection Operators and Hilbert Space
846;2 Derivation of Generalized Langevin Equations
846;3 Noise in Generalized Langevin Equations
846;4 Generalized Langevin Equations8212;Some Identities
846;5 From Nonlinear to Linear8212;An Example
846;6 Linear Langevin Equations for Slow Variables
946; Nonlinear Problems
946;1 Mode45;Coupling Theory and Long Time Tails
946;2 Derivation of Nonlinear Langevin Equations and Fokker45;Planck Equations
946;3 Nonlinear Langevin Equations and Fokker45;Planck Equations for Slow Variables
946;4 Kinds of Nonlinearity
946;5 Nonlinear Transport Equations
1046; The Paradoxes of Irreversibility
Appendixes
1 First45;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
Last Page.
Source of Description
Print version record.
Available in Other Form
Print version: Zwanzig, Robert. Nonequilibrium statistical mechanics. Oxford ; New York : Oxford University Press, 2001
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