Statistical Mechanics A Survival Guide

ISBN-10: 0198508166
ISBN-13: 9780198508168
Edition: 2001
List price: $60.00
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Description: Statistical mechanics is the science of predicting the observable properties of a multiple bodied system by studying the statistics of the behaviour of its individual constituents, whether they are atoms, molecules, photons, etc. It provides the  More...

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Book details

List price: $60.00
Copyright year: 2001
Publisher: Oxford University Press, Incorporated
Publication date: 9/27/2001
Binding: Paperback
Pages: 160
Size: 6.25" wide x 9.25" long x 0.25" tall
Weight: 1.364
Language: English

Statistical mechanics is the science of predicting the observable properties of a multiple bodied system by studying the statistics of the behaviour of its individual constituents, whether they are atoms, molecules, photons, etc. It provides the link between macroscopic and microscopic states, and as such has the potential to be one of the most satisfying parts of an undergraduate science course - linking in an elegant manner the quantum world with everyday observations of systemscontaining large numbers of particles.This excellent text is designed to introduce the fundamentals of the subject of statistical mechanics at a level suitable for students who meet the subject for the first time. The treatment given here is designed to give the student a feeling for the topic of statistical mechanics without being held back by the need to understand complex mathematics. The text is concise and concentrates on the understanding of fundamental aspects. Numerous questions with worked solutions are giventhroughout.

Back to Basics
The Role of Statistical Mechanics
Introduction to Coin Tossing
Heads I Win, Tails You Lose
Stirling's Theorem
More Flipping Coins
Distinguishable Particles
Summary
Problems
The Statistics of Distinguishable Particles
The Boltzmann Distribution for Distinguishable Particles
Lagrange's Method of Undetermined Multipliers
The Single-Particle Partition Function
Degeneracy
The Partition Function of a System
Summary
Problems
Paramagnets and Oscillators
A Spin-1/2 Paramagnet
Paramagnets with Angular Momentum J
The Simple Harmonic Oscillator
An Array of 1-D Simple Harmonic Oscillators
An Array of 3-D Simple Harmonic Oscillators
Summary
Problems
Indistinguishable Particles and Monatomic Ideal Gases
Distinguishable and Indistinguishable States
Identical Gas Particles - Counting the States
The Partition Function of a Monatomic Ideal Gas
Properties of the Monatomic Ideal Gas
More about Adiabatic Expansions
Maxwell-Boltzmann Distribution of Speeds
Gibbs Paradox
Summary
Problems
Diatomic Ideal Gases
Other Degrees of Freedom
Rotational Heat Capacities for Diatomic Gases
The Vibrational Partition Function of a Diatomic Gas
Putting it All Together for an Ideal Gas
Summary
Problems
Quantum Statistics
Indistinguishable Particles and Quantum Statistics
Bose-Einstein Statistics
Fermi-Dirac Statistics
More on the Quantum Distribution Functions
Summary
Problems
Electrons in Metals
Fermi-Dirac Statistics: Electrons in Metals
The Heat Capacity of a Fermi Gas
The Quantum-Classical Transition
Summary
Problems
Photons and Phonons
The Photon Gas
Generalized Derivation of the Density of States
Blackbody Radiation
Phonons
Summary
Problems
Bose-Einstein Condensation
Introduction
The Phenomenon of Bose-Einstein Condensation
The Quantum-Classical Transition Revisited
Summary
Problems
Ensembles
Introduction
The Chemical Potential
Ensembles and Probabilities
The Fermi-Dirac and Bose-Einstein Distributions Revisited
Fermi-Dirac Distribution Revisited
Bose-Einstein Distribution Revisited
Summary
Problems
The End is in Sight
Phase Space
Equipartition of Energy
Route Map through Statistical Mechanics
Summary
Problems
Worked Answers to Problems
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Useful Integrals
Physical Constants
Bibliography
Index

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