UID:
edocfu_9959227774202883
Format:
1 online resource (919 p.)
Edition:
First edition.
ISBN:
1-5231-2126-2
,
0-19-163977-X
,
0-19-163976-1
,
0-19-174528-6
Content:
`Non-equilibrium Thermodynamics and Statistical Mechanics: Foundations and Applications' builds from basic principles to advanced techniques, and covers the major phenomena, methods, and results of time-dependent systems. It is a pedagogic introduction, a comprehensive reference manual, and an original research monograph. Uniquely, the book treats time-dependent systems by close analogy with their static counterparts, with most of the familiar results of equilibrium thermodynamicsand statistical mechanics being generalized and applied to the non-equilibrium case. The book is notable for its un
Note:
Description based upon print version of record.
,
Cover Page; Title Page; Copyright Page; Preface; Contents; Detailed Contents; Chapter 1 Prologue; 1.1 Entropy and the Second Law; 1.2 Time Dependent Systems; 1.2.1 The Second Law is Timeless; 1.2.2 The Second Entropy; 1.3 Nature of Probability; 1.3.1 Frequency; 1.3.2 Credibility; 1.3.3 Measure; 1.3.4 Determination of Randomness; 1.4 States, Entropy, and Probability; 1.4.1 Macrostates and Microstates; 1.4.2 Weight and Probability; 1.4.3 Entropy; 1.4.4 Transitions and the Second Entropy; 1.4.5 The Continuum; 1.5 Reservoirs; 1.5.1 Equilibrium Systems; 1.5.2 Non-Equilibrium Steady State
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Chapter 2 Fluctuation Theory2.1 Gaussian Probability; 2.2 Exponential Decay in Markovian Systems; 2.3 Small Time Expansion; 2.4 Results for Pure Parity Systems; 2.4.1 Onsager Regression Hypothesis and Reciprocal Relations; 2.4.2 Green-Kubo Expression; 2.4.3 Physical Interpretation of the Second Entropy; 2.4.4 The Dissipation; 2.4.5 Stability Theory; 2.4.6 Non-Reversibility of the Trajectory; 2.4.7 Third Entropy; 2.5 Fluctuations of Mixed Time Parity; 2.5.1 Second Entropy and Time Correlation Functions; 2.5.2 Small Time Expansion for the General Case; 2.5.3 Magnetic Fields and Coriolis Forces
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Chapter 3 Brownian Motion3.1 Gaussian, Markov Processes; 3.2 Free Brownian Particle; 3.3 Pinned Brownian Particle; 3.4 Diffusion Equation; 3.5 Time Correlation Functions; 3.6 Non-Equilibrium Probability Distribution; 3.6.1 Stationary Trap; 3.6.2 Uniformly Moving Trap; 3.6.3 Mixed Parity Formulation of the Moving Trap; 3.7 Entropy Probability, and their Evolution; 3.7.1 Time Evolution of the Entropy and Probability; 3.7.2 Compressibility of the Equations of Motion; 3.7.3 The Fokker-Planck Equation; 3.7.4 Generalised Equipartition Theorem; 3.7.5 Liouville's Theorem; Chapter 4 Heat Conduction
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4.1 Equilibrium System4.2 First Energy Moment and First Temperature; 4.3 Second Entropy; 4.4 Thermal Conductivity and Energy Correlations; 4.5 Reservoirs; 4.5.1 First Entropy; 4.5.2 Second Entropy; 4.6 Heat and Number Flow; 4.7 Heat and Current Flow; Chapter 5 Second Entropy for Fluctuating Hydrodynamics; 5.1 Conservation Laws; 5.1.1 Densities, Velocities, and Chemical Reactions; 5.1.2 Number Flux; 5.1.3 Energy Flux; 5.1.4 Linear Momentum; 5.2 Entropy Density and its Rate of Change; 5.2.1 Sub-system Dissipation; 5.2.2 Steady State; 5.3 Second Entropy; 5.3.1 Variational Principle
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5.3.2 Flux Optimisation5.4 Navier-Stokes and Energy Equations; Chapter 6 Heat Convection and Non-Equilibrium Phase Transitions; 6.1 Hydrodynamic Equations of Convection; 6.1.1 Boussinesq Approximation; 6.1.2 Conduction; 6.1.3 Convection; 6.2 Total First Entropy of Convection; 6.3 Algorithm for Ideal Straight Rolls; 6.3.1 Hydrodynamic Equations; 6.3.2 Fourier Expansion; 6.3.3 Nusselt Number; 6.4 Algorithm for the Cross Roll State; 6.4.1 Hydrodynamic Equations and Conditions; 6.4.2 Fourier Expansion; 6.5 Algorithm for Convective Transitions; 6.6 Convection Theory and Experiment
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Chapter 7 Equilibrium Statistical Mechanics
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English
Additional Edition:
ISBN 0-19-966276-2
Language:
English
