- 1 Basic ideas Preface ix
- 1.1 The macrostate
- 1.2 Microstates
- 1 .3 The averaging postulate
- 1.4 Distributions
- 1 5 The statistical method in outline
- 1 .6 A model example
- 1 .7 Statistical entropy and microstates
- 1 .8 Summary
- 2 Distinguishable particles
- 2.1 TheThermalEquilibrium Distribution
- 2.2 What areαandβ?
- 2 .3 A statisticaldefinition oftemperature
- 2 .4 Theboltzmanndistribution andthepartitionfunction
- 2 .5 Calculation of thermodynamic functions
- 2 6 Summary
- 3 Two examples
- 3.1 A Spin-^12 solid
- 3 .2 Localized harmonic oscillators
- 3 .3Summary4
- 4 Gases: the density of states
- 4.1 Fittingwaves into boxes
- 4.2 Other information for statistical physics
- 4.3 An example – heliumgas
- 4 .4Summary
- 5 Gases: the distributions
- 5 .1 Distribution in groups
- 5 .2 Identical particles – fermions and bosons
- 5 .3 Counting microstates for gases
- 5 .4 The three distributions
- 5.5 Summary
- 6 Maxwell–Boltzmann gases vi Table ofcontents
- 6 .1 The validityof the Maxwell–Boltzmann limit
- 6 .2 The Maxwell–Boltzmann distribution of speeds
- 6 .3 The connection to thermodynamics
- 6 .4 Summary
- 7 Diatomic gases
- 7.1 Energycontributionsindiatomicgases
- 7.2 Heat capacityof a diatomicgas
- 7.3 The heat capacityof hydrogen
- 7.4Summary8
- 8 Fermi–Dirac gases
- 8.1 Properties ofanidealFermi–Dirac gas
- 8.2 Application to metals9
- 8.3 Application tohelium-3
- 8.4 Summary
- 9 Bose–Einsteingases
- 9 .1 Properties of an ideal Bose–Einstein gas
- 9 .2 Application to helium-4
- 9 .3 Phoneybosons
- 9 .4 A note about coldatoms
- 9 .5 Summary
- 1 0 Entropyin other situations
- 1 0.1 Entropy and disorder
- 1 0.2 An assembly at fixed temperature
- 10 3 Vacancies in solids
- 1 1Phasetransitions
- 1 1.1 Types ofphase transition
- 1 1.2 Ferromagnetism of a spin-^12 solid
- 1 1.3 Real ferromagnetic materials
- 1 1.4 Order–disorder transformationsinalloys1
- 1 2 Two new ideas
- 1 2.1 Statics or dynamics?
- 1 2.2 Ensembles – a larger view
- 13 Chemical thermodynamics
- 1 3.1 Chemicalpotentialrevisited
- 1 3.2 Thegrandcanonicalensemble1
- 1 3.3 Idealgases in thegrand ensemble
- 1 3.4 Mixed systems and chemical reactions
- 1 4 Dealing with interactions Table ofcontents vii
- 1 4.1 Electrons in metals
- 1 4.2 Liquid helium-3: A Fermi liquid
- 1 4.3 Liquid helium-4: A Bose liquid?
- 1 4.4 Real imperfect gases
- 15 Statistics under extreme conditions
- 15 .1 Superfluid states in Fermi–Dirac systems
- 15 .2 Statistics in astrophysical systems
- Appendix A Some elementary countingproblems
- Appendix BSome problems with large numbers
- Appendix C Some useful integrals
- Appendix DSome useful constants
- Appendix E Exercises
- Appendix F Answers to exercises
- Index
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