Study notes for Statistical Physics

Study notes for Statistical Physics A concise, unified overview of the subject Download free books at... David McComb Study notes for Statistical Physics A concise, uniied overview of t

Study notes for Statistical Physics

A concise, unified overview of the subject

Download free books at

W David McComb

Study notes for Statistical Physics

A concise, uniied overview of the subject

Download free eBooks at bookboon.com

Study notes for Statistical Physics: A concise, uniied overview of the subject

1st edition

© 2015 W David McComb & bookboon.com

ISBN 978-87-403-0841-9

Download free eBooks at bookboon.com

Study notes for Statistical Physics:

A concise, uniied overview of the subject

4

Contents

Contents

Acknowledgement 8

I Statistical ensembles 11

1.1 he isolated assembly 12

1.2 Method of the most probable distribution 13

1.3 Ensemble of assemblies: relationship between Gibbs and Boltzmann entropies 15

2 Stationary ensembles 18

2.1 Types of ensemble 18

2.2 Variational method for the most probable distribution 19

2.3 Canonical ensemble 21

2.4 Compression of a perfect gas 22

2.5 he Grand Canonical Ensemble (GCE) 25

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Study notes for Statistical Physics:

A concise, uniied overview of the subject

5

Contents

3 Examples of stationary ensembles 31

3.1 Assembly of distinguishable particles 32

3.2 Assembly of nonconserved, indistinguishable particles 32

3.3 Conserved particles: general treatment for Bose-Einstein and Fermi-Dirac statistics 34

3.4 he Classical Limit: Boltzmann Statistics 36

II he many-body problem 38

4 he bedrock problem: strong interactions 39

4.1 he interaction Hamiltonian 39

4.2 Diagonal forms of the Hamiltonian 40

4.3 heory of speciic heats of solids 40

4.4 Quasi-particles and renormalization 41

4.5 Perturbation theory for low densities 42

4.6 he Debye-Hückel theory of the electron gas 51

5 Phase transitions 54

5.1 Critical exponents 54

5.2 he ferro-paramagnetic transition 55

5.3 he Weiss theory of ferromagnetism 56

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