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Preface | |
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Basic ideas | |
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The macrostate | |
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Microstates | |
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The averaging postulate | |
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Distributions | |
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The statistical method in outline | |
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A model example | |
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Statistical entropy and microstates | |
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Summary | |
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Distinguishable particles | |
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The Thermal Equilibrium Distribution | |
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What are [alpha] and [beta]? | |
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A statistical definition of temperature | |
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The boltzmann distribution and the partition function | |
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Calculation of thermodynamic functions | |
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Summary | |
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Two examples | |
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A Spin-1/2 solid | |
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Localized harmonic oscillators | |
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Summary | |
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Gases: the density of states | |
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Fitting waves into boxes | |
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Other information for statistical physics | |
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An example - helium gas | |
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Summary | |
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Gases: the distributions | |
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Distribution in groups | |
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Identical particles - fermions and bosons | |
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Counting microstates for gases | |
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The three distributions | |
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Summary | |
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Maxwell-Boltzmann gases | |
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The validity of the Maxwell-Boltzmann limit | |
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The Maxwell-Boltzmann distribution of speeds | |
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The connection to thermodynamics | |
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Summary | |
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Diatomic gases | |
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Energy contributions in diatomic gases | |
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Heat capacity of a diatomic gas | |
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The heat capacity of hydrogen | |
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Summary | |
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Fermi-Dirac gases | |
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Properties of an ideal Fermi-Dirac gas | |
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Application to metals | |
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Application to helium-3 | |
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Summary | |
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Bose-Einstein gases | |
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Properties of an ideal Bose-Einstein gas | |
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Application to helium-4 | |
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Phoney bosons | |
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A note about cold atoms | |
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Summary | |
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Entropy in other situations | |
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Entropy and disorder | |
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An assembly at fixed temperature | |
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Vacancies in solids | |
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Phase transitions | |
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Types of phase transition | |
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Ferromagnetism of a spin-1/2 solid | |
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Real ferromagnetic materials | |
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Order-disorder transformations in alloys | |
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Two new ideas | |
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Statics or dynamics? | |
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Ensembles - a larger view | |
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Chemical thermodynamics | |
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Chemical potential revisited | |
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The grand canonical ensemble | |
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Ideal gases in the grand ensemble | |
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Mixed systems and chemical reactions | |
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Dealing with interactions | |
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Electrons in metals | |
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Liquid helium-3: A Fermi liquid | |
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Liquid helium-4: A Bose liquid? | |
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Real imperfect gases | |
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Statistics under extreme conditions | |
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Superfluid states in Fermi-Dirac systems | |
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Statistics in astrophysical systems | |
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Some elementary counting problems | |
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Some problems with large numbers | |
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Some useful integrals | |
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Some useful constants | |
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Exercises | |
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Answers to exercises | |
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Index | |