A modern course in statistical physics /

Bibliographic Details
Main Author:	Reichl, L. E. (Author)
Corporate Author:	EBSCOhost
Format:	eBook
Language:	English
Published:	Weinheim, Germany : Wiley-Vch, Verlag GmbH & Co. KGaA, [2016]
Edition:	4th revised and updated edition.
Subjects:	Statistical physics. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

2.1. Introduction
2.2. Counting Microscopic States
2.3. Probability
2.4. Multiplicity and Entropy of Macroscopic Physical States
2.5. Multiplicity and Entropy of a Spin System
2.5.1. Multiplicity of a Spin System
2.5.2. Entropy of Spin System
2.6. Entropic Tension in a Polymer
2.7. Multiplicity and Entropy of an Einstein Solid
2.7.1. Multiplicity of an Einstein Solid
2.7.2. Entropy of the Einstein Solid
2.8. Multiplicity and Entropy of an Ideal Gas
2.8.1. Multiplicity of an Ideal Gas
2.8.2. Entropy of an Ideal Gas
2.9. Problems
3.1. Introduction
3.2. Energy Conservation
3.3. Entropy
3.3.1. Carnot Engine
3.3.2. The Third Law
3.4. Fundamental Equation of Thermodynamics
3.5. Thermodynamic Potentials
3.5.1. Internal Energy
3.5.2. Enthalpy
3.5.3. Helmholtz Free Energy
3.5.4. Gibbs Free Energy
3.5.5. Grand Potential
3.6. Response Functions
3.6.1. Thermal Response Functions (Heat Capacity)
3.6.2. Mechanical Response Functions
3.7. Stability of the Equilibrium State
3.7.1. Conditions for Local Equilibrium in a PVT System
3.7.2. Conditions for Local Stability in a PVT System
3.7.3. Implications of the Stability Requirements for the Free Energies
3.7.4. Correlations Between Fluctuations
3.8. Cooling and Liquefaction of Gases
3.9. Osmotic Pressure in Dilute Solutions
3.10. The Thermodynamics of Chemical Reactions
3.10.1. The Affinity
3.11. The Thermodynamics of Electrolytes
3.11.1. Batteries and the Nernst Equation
3.11.2. Cell Potentials and the Nernst Equation
3.12. Problems
4.1. Introduction
4.2. Coexistence of Phases: Gibbs Phase Rule
4.3. Classification of Phase Transitions
4.4. Classical Pure PVT Systems
4.4.1. Phase Diagrams
4.4.2. Coexistence Curves: Clausius-Clapeyron Equation
4.4.3. Liquid-Vapour Coexistence Region
4.4.4. The van der Waals Equation
4.4.5. Steam Engines
The Rankine Cycle
4.5. Binary Mixtures
4.5.1. Equilibrium Conditions
4.6. The Helium Liquids
4.6.1. Liquid He4
4.6.2. Liquid He3
4.6.3. Liquid He3-He4 Mixtures
4.7. Superconductors
4.8. Ginzburg-Landau Theory
4.8.1. Continuous Phase Transitions
4.8.2. First-Order Transitions
4.8.3. Some Applications of Ginzburg-Landau Theory
4.9. Critical Exponents
4.9.1. Definition of Critical Exponents
4.9.2. The Critical Exponents for Pure PVT Systems
4.9.3. The Critical Exponents for the Curie Point
4.9.4. The Critical Exponents for Mean Field Theories
4.10. Problems
5.1. Introduction
5.2. Probability Density Operator
Canonical Ensemble
5.2.1. Energy Fluctuations
5.3. Semi-Classical Ideal Gas of Indistinguishable Particles
5.3.1. Approximations to the Partition Function for Semi-Classical Ideal Gases
5.3.2. Maxwell-Boltzmann Distribution
5.4. Interacting Classical Fluids
5.4.1. Density Correlations and the Radial Distribution Function
5.4.2. Magnetization Density Correlations
5.5. Heat Capacity of a Debye Solid
5.6. Order-Disorder Transitions on Spin Lattices
5.6.1. Exact Solution for a One-Dimensional Lattice
5.6.2. Mean Field Theory for a d-Dimensional Lattice
5.6.3. Mean Field Theory of Spatial Correlation Functions
5.6.4. Exact Solution to Ising Lattice for d = 2
5.7. Scaling
5.7.1. Homogeneous Functions
5.7.2. Widom Scaling
5.7.3. Kadanoff Scaling
5.8. Microscopic Calculation of Critical Exponents
5.8.1. General Theory
5.8.2. Application to Triangular Lattice
5.8.3. The S4 Model
5.9. Problems
6.1. Introduction
6.2. The Grand Canonical Ensemble
6.2.1. Particle Number Fluctuations
6.2.2. Ideal Classical Gas
6.3. Adsorption Isotherms
6.4. Virial Expansion for Interacting Classical Fluids
6.4.1. Virial Expansion and Cluster Functions
6.4.2. The Second Virial Coefficient, B2(T)
6.5. Blackbody Radiation
6.6. Ideal Quantum Gases
6.7. Ideal Bose-Einstein Gas
6.7.1. Bose-Einstein Condensation
6.7.2. Experimental Observation of Bose-Einstein Condensation
6.8. Bogoliubov Mean Field Theory
6.9. Ideal Fermi-Dirac Gas
6.10. Magnetic Susceptibility of an Ideal Fermi Gas
6.10.1. Paramagnetism
6.10.2. Diamagnetism
6.11. Momentum Condensation in an Interacting Fermi Fluid
6.12. Problems
7.1. Introduction
7.2. Brownian Motion
7.2.1. Langevin Equation
7.2.2. Correlation Function and Spectral Density
7.3. The Fokker-Planck Equation
7.3.1. Probability Flow in Phase Space
7.3.2. Probability Flow for Brownian Particle
7.3.3. The Strong Friction Limit
7.4. Dynamic Equilibrium Fluctuations
7.4.1. Regression of Fluctuations
7.4.2. Wiener-Khintchine Theorem
7.5. Linear Response Theory and the Fluctuation-Dissipation Theorem
7.5.1. The Response Matrix
7.5.2. Causality
7.5.3. The Fluctuation-Dissipation Theorem
7.5.4. Power Absorption
7.6. Microscopic Linear Response Theory
7.6.1. Density Operator Perturbed by External Field
7.6.2. The Electric Conductance
7.6.3. Power Absorption
7.7. Thermal Noise in the Electron Current
7.8. Problems
8.1. Introduction
8.2. Navier-Stokes Hydrodynamic Equations
8.2.1. Balance Equations
8.2.2. Entropy Source and Entropy Current
8.2.3. Transport Coefficients
8.3. Linearized Hydrodynamic Equations
8.3.1. Linearization of the Hydrodynamic Equations
8.3.2. Transverse Hydrodynamic Modes
8.3.3. Longitudinal Hydrodynamic Modes
8.3.4. Dynamic Correlation Function and Spectral Density
8.4. Light Scattering
8.4.1. Scattered Electric Field
8.4.2. Intensity of Scattered Light
8.5. Friction on a Brownian particle
8.6. Brownian Motion with Memory
8.7. Hydrodynamics of Binary Mixtures
8.7.1. Entropy Production in Binary Mixtures
8.7.2. Fick's Law for Diffusion
8.7.3. Thermal Diffusion
8.8. Thermoelectricity
8.8.1. The Peltier Effect
8.8.2. The Seebeck Effect
8.8.3. Thomson Heat
8.9. Superfluid Hydrodynamics
8.9.1. Superfluid Hydrodynamic Equations
8.9.2. Sound Modes
8.10. Problems
9.1. Introduction
9.2. Elementary Transport Theory
9.2.1. Transport of Molecular Properties
9.2.2. The Rate of Reaction
9.3. The Boltzmann Equation
9.3.1. Derivation of the Boltzmann Equation
9.4. Linearized Boltzmann Equations for Mixtures
9.4.1. Kinetic Equations for a Two-Component Gas
9.4.2. Collision Operators
9.5. Coefficient of Self-Diffusion
9.5.1. Derivation of the Diffusion Equation
9.5.2. Eigenfrequencies of the Lorentz-Boltzmann Equation
9.6. Coefficients of Viscosity and Thermal Conductivity
9.6.1. Derivation of the Hydrodynamic Equations
9.6.2. Eigenfrequencies of the Boltzmann Equation
9.6.3. Shear Viscosity and Thermal Conductivity
9.7. Computation of Transport Coefficients
9.7.1. Sonine Polynomials
9.7.2. Diffusion Coefficient
9.7.3. Thermal Conductivity
9.7.4. Shear Viscosity
9.8. Beyond the Boltzmann Equation
9.9. Problems
10.1. Introduction
10.2. Near-Equilibrium Stability Criteria
10.3. The Chemically-Reacting Systems
10.3.1. The Brusselator
A Non-linear Chemical Model
10.3.2. Boundary Conditions
10.3.3. Stability Analysis
10.3.4. Chemical Crystals
10.4. The Rayleigh-Bénard Instability
10.4.1. Hydrodynamic Equations and Boundary Conditions
10.4.2. Linear Stability Analysis
10.5. Problems
A.1. Probability
A.1.1. Definition of Probability
A.1.2. Probability Distribution Functions
A.1.3. Binomial Distributions
A.1.4. Central Limit Theorem and the Law of Large Numbers
A.2. Stochastic Processes
A.2.1. Markov Chains
A.2.2. The Master Equation
A.2.3. Probability Density for Classical Phase Space
A.2.4. Quantum Probability Density Operator
A.3. Problems
D.1. Symmetrized and Antisymmetrized States
D.1.1. Free Particles
D.1.2. Particle in a Box
D.1.3. N-Particle Eigenstates
D.1.4. Symmetrized Momentum Eigenstates for Bose-Einstein Particles
D.1.5. Antisymmetrized Momentum Eigenstates for Fermi-Dirac Particles
D.1.6. Partition Functions and Expectation Values
D.2. The Number Representation
D.2.1. The Number Representation for Bosons
D.2.2. The Number Representation for Fermions
D.2.3. Thermodynamic Averages of Quantum Operators
E.1. Classical Dynamics of the Scattering Process
E.2. The Scattering Cross-Section
E.3. Quantum Dynamics of Low-Energy Scattering
F.1. Useful Mathematics
F.2. Solutions for Odd-Numbered Problems.