A modern course in statistical physics [E-Book] / Linda E. Reichl.
"A Modern Course in Statistical Physics" is a textbook that illustrates the foundations of equilibrium and non-equilibrium statistical physics, and the universal nature of thermodynamic processes, from the point of view of contemporary research problems. The book treats such diverse topics...
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Personal Name(s): | Reichl, Linda E. |
Imprint: |
[Place of publication not identified] :
Wiley-VCH,
2016
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Physical Description: |
1 online resource |
Note: |
englisch |
ISBN: |
9783527690466 3527690484 3527690492 9783527690480 3527690468 9783527690497 |
Subject (LOC): |
- 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.