Statistical Physics An Introductory Course

ISBN-10: 9810234767
ISBN-13: 9789810234768
Edition: 1999
List price: $43.00
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Book details

List price: $43.00
Copyright year: 1999
Publisher: World Scientific Publishing Co Pte Ltd
Binding: Paperback
Pages: 580
Size: 7.25" wide x 10.25" long x 1.25" tall
Weight: 2.530
Language: English

Preface
The Kinetic Theory of Gases
Introduction
Velocity and Position Distributions of Molecules in a Gas
Avogadro's law, or the equation of state of an ideal gas
Temperature and thermal equilibrium
Equipartition of energy per molecule and its constituent parts--a fundamental problem
The density in an isothermal atmosphere--the Boltzmann factor in the potential energy
The Maxwell-Boltzmann distribution
Averages and distributions
Brownian Motion
Historical background
Characteristic scales of Brownian motion
Random walk
Brownian motion, random force and friction: the Langevin equation
Solving the Langevin equation: approximations and orders of magnitude
Applications and implications
Transport Coefficients
Introduction
The mean free path and mean free time
Self-diffusion
The mobility coefficient
The connection between the diffusion coefficient and the mobility
Viscosity and thermal conductivity
Appendix: a more detailed calculation of the diffusion coefficient
Self-assessment exercises
Solutions to exercises in the text
Solutions to self-assessment exercises
Statistical Physics with Paramagnets
Introduction
Essential Background in Thermodynamics
The first law
The second law and the entropy
Thermodynamic potentials
The third law
Thermodynamics with Magnetic Variables
Introduction
The first law in magnetic variables
Microscopic States and Averages
Magnetic states, angular momentum and paramagnetism
Microscopic states, observables
Probabilities and averages
Isolated Paramagnet--Microcanonical Ensemble
Number of states and probabilities
Calculating averages and correlations
Numerical examples and Stirling's formula
Isolated Paramagnet--Subsystems and Temperature
Microscopic states and thermodynamic equilibrium
[beta] and the temperature
Sharpness of the maximum
Identification of temperature and entropy
Negative temperature
Summary
Paramagnet at a Given Temperature
The canonical ensemble
The partition function and thermodynamic quantities
Susceptibility and specific heat of a paramagnet
Paramagnet with J ] 1/2
Order, Disorder and Entropy
Comparison with Experiment
Summary
Self-assessment exercises
Solutions to exercises in the text
Solutions to self-assessment exercises
Statistical Physics and Thermodynamics
Introduction
The Canonical Ensemble and Thermodynamics
The partition function and the internal energy
Thermodynamic work
Entropy, free energy, the first and second laws
The paramagnet--revisited
On the statistical meaning of the free energy
Harmonic Oscillator and Einstein Solid
Microscopic states
Partition function for oscillators
Einstein's solid
Statistical Mechanics of Classical Systems
Statistical mechanics of a single particle
Statistical mechanics of a classical gas
Statistical Mechanics of an Ideal Gas
The ideal gas
Mixtures of ideal gases--Dalton's law
Maxwell-Boltzmann distribution and equipartition
Ideal gas of quantum particles
The Gibbs Paradox and the Third Law
Two difficulties
The Gibbs paradox and its resolution
Remarks on the third law of thermodynamics
Summary
Fluctuations and Thermodynamic Quantities
Paramagnet: fluctuations in the magnetization
Energy fluctuations and the specific heat
Summary
Self-assessment exercises
Solutions to exercises in the text
Solutions to self-assessment exercises
From Ideal Gas to Photon Gas
Introduction
An Ideal Gas of Molecules with Internal Degrees of Freedom
Center of mass and internal motions
Kinematics of a diatomic molecule
Gas of general composite molecules
Diatomic gas: classical treatment
Diatomic molecules: vibration and rotation
The equipartition principle and its violation
Diatomic gas--quantum calculation
Gases in Chemical Reactions
Conditions for chemical equilibrium
The law of mass action
Dissociation in a diatomic gas
Phonon Gas and the Debye Model
Sound waves in a crystal
Vibrational modes, phonons and enumeration of states
The Debye model
Thermodynamics of Electromagnetic Radiation
General considerations of radiation at thermal equilibrium
Radiation density
Black body radiation
Absorption and emission of radiation--Kirchhoff's law
Role of black body radiation in modern physics
Calculation of Some Integrals
Self-assessment exercises
Solutions to exercises in the text
Solutions to self-assessment exercises
Of Fermions and Bosons
Introduction
Grand Canonical Ensemble
Definitions and motivation
Connection to thermodynamics
Statistical Mechanics of Identical Quantum Particles
Classification of states--occupation numbers
Quantum statistics--many-particle states
Thermodynamics of fermions and bosons
Average occupation numbers
Electrical Conductivity in Metals
The Drude model
A critique of the Drude model
The Sommerfeld model
Electrons at high and low temperatures
Metals at room temperature
Thermodynamics of the Sommerfeld model
Boson Gas
Bose-Einstein distribution
Chemical potential at low temperatures
Bose-Einstein condensation
Superfluidity
Bose-Einstein condensation in helium
Viscosity of a superfluid
Fermi liquid and superconductivity
Calculation of Some Integrals
Self-assessment exercises
Solutions to exercises in the text
Solutions to self-assessment exercises
Index

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