Concepts in Thermal Physics (Blundell & Blundell) ================================================= .. toctree:: Introduction.rst 1.1 What is a mole.rst 1.2 The thermodynamic limit.rst 1.3 The ideal gas.rst 1.4 Combinatorial problems.rst 1.5 Plan of the book.rst 2.1 A definition of heat.rst 2.2 Heat capacity.rst 3.1 Discrete probability distributions.rst 3.2 Continuous probability distributions.rst 3.3 Linear transformation.rst 3.4 Variance.rst 3.5 Linear transformation and the variance.rst 3.6 Independent variables.rst 3.7 Binomial distribution.rst 4.1 Thermal equilibrium.rst 4.2 Thermometers.rst 4.3 The microstates and macrostates.rst 4.4 A statistical definition of temperature.rst 4.5 Ensembles.rst 4.6 Canonical ensemble.rst 4.7 Applications of the Boltzmann distribution.rst 5.1 The velocity distribution.rst 5.2 The speed distribution.rst 5.3 Experimental justification.rst 6.1 Molecular distributions.rst 6.2 The ideal gas law.rst 6.3 Dalton's law.rst 7.1 Flux.rst 7.2 Effusion.rst 8.1 The mean collision time.rst 8.2 The collision cross-section.rst 8.3 The mean free path.rst 9.1 Viscosity.rst 9.2 Thermal conductivity.rst 9.3 Diffusion.rst 9.4 More detailed theory.rst 10.1 Derivation of the thermal diffusion equation.rst 10.2 The one-dimensional thermal diffusion equation.rst 10.3 The steady state.rst 10.4 The thermal diffusion equation for a sphere.rst 10.5 Newton's law of cooling.rst 10.6 The Prandtl number.rst 10.7 Sources of heat.rst 10.8 Particle diffusion.rst 11.1 Some definitions.rst 11.2 The first law of thermodynamics.rst 11.3 Heat capacity.rst 12.1 Reversibility.rst 12.2 Isothermal expansion of an ideal gas.rst 12.3 Adiabatic expansion of an ideal gas.rst 12.4 Adiabatic atmosphere.rst 13.1 The second law of thermodynamics.rst 13.2 The Carnot engine.rst 13.3 Carnot's theorem.rst 13.4 Equivalence of Clausius' and Kelvin's statements.rst 13.5 Examples of heat engines.rst 13.6 Heat engines running backwards.rst 13.7 Clausius' theorem.rst 14.1 Definition of entropy.rst 14.2 Irreversible change.rst 14.3 The first law revisited.rst 14.4 The Joule expansion.rst 14.5 The statistical basis for entropy.rst 14.6 The entropy of mixing.rst 14.7 Maxwell's demon.rst 14.8 Entropy and probability.rst 15.1 Information and Shannon entropy.rst 15.2 Information and thermodynamics.rst 15.3 Data compression.rst 15.4 Quantum information.rst 15.5 Conditional and joint probabilities.rst 15.6 Bayes' theorem.rst 16.1 Internal energy, U.rst 16.2 Enthalpy, H.rst 16.3 Helmholtz function, F.rst 16.4 Gibbs function, G.rst 16.5 Constraints.rst 16.6 Maxwell's relations.rst 17.1 Elastic rod.rst 17.2 Surface tension.rst 17.3 Electric and magnetic dipoles.rst 17.4 Paramagnetism.rst 18.1 Different statements of the third law.rst 18.2 Consequences of the third law.rst 19.1 Equipartition theorem.rst 19.2 Applications.rst 19.3 Assumptions made.rst 19.4 Brownian motion.rst 20.1 Writing down the partition function.rst 20.2 Obtaining the functions of state.rst 20.3 The big idea.rst 20.4 Combining partition functions.rst 21.1 Density of states.rst 21.2 Quantum concentration.rst 21.3 Distinguishability.rst 21.4 Functions of state of the ideal gas.rst 21.5 Gibbs paradox.rst 21.6 Heat capacity of a diatomic gas.rst 22.1 A definition of the chemical potential.rst 22.2 The meaning of the chemical potential.rst 22.3 Grand partition function.rst 22.4 Grand potential.rst 22.5 Chemical potential as Gibbs function per particle.rst 22.6 Many types of particle.rst 22.7 Particle number conservation laws.rst 22.8 Chemical potential and chemical reactions.rst 22.9 Osmosis.rst 23.1 The classical thermodynamics of electromagnetic radiation.rst 23.2 Spectral energy density.rst 23.3 Kirchhoff's law.rst 23.4 Radiation pressure.rst 23.5 The statistical mechanics of the photon gas.rst 23.6 Black-body distribution.rst 23.7 Cosmic microwave background radiation.rst 23.8 The Einstein A and B coefficients.rst 24.1 The Einstein model.rst 24.2 The Debye model.rst 24.3 Phonon dispersion.rst 25.1 Relativistic dispersion relation for massive particles.rst 25.2 The ultrarelativistic gas.rst 25.3 Adiabatic expansion of an ultrarelativistic gas.rst 26.1 The van der Waals gas.rst 26.2 The Dieterici equation.rst 26.3 Virial expansion.rst 26.4 The law of corresponding states.rst 27.1 The Joule expansion.rst 27.2 Isothermal expansion.rst 27.3 Joule-Kelvin expansion.rst 27.4 Liquefaction of gases.rst 28.1 Latent heat.rst 28.2 Chemical potential and phase changes.rst 28.3 The Clausius-Clapeyron equation.rst 28.4 Stability and metastability.rst 28.5 The Gibbs phase rule.rst 28.6 Colligative properties.rst 28.7 Classification of phase transitions.rst 28.8 The Ising model.rst 29.1 Exchange and symmetry.rst 29.2 Wave functions of identical particles.rst 29.3 The statistics of identical particles.rst 30.1 The non-interacting quantum fluid.rst 30.2 The Fermi gas.rst 30.3 The Bose gas.rst 30.4 Bose-Einstein condensation (BEC).rst 31.1 Sound waves under isothermal conditions.rst 31.2 Sound waves under adiabatic conditions.rst 31.3 Are sound waves in general adiabatic or isothermal.rst 31.4 Derivation of the speed of sound within fluids.rst 32.1 The Mach number.rst 32.2 Structure of shock waves.rst 32.3 Shock conservation laws.rst 32.4 The Rankine-Hugoniot conditions.rst 33.1 Brownian motion.rst 33.2 Johnson noise.rst 33.3 Fluctuations.rst 33.4 Fluctuations and the availability.rst 33.5 Linear response.rst 33.6 Correlation functions.rst 34.1 Entropy production.rst 34.2 The kinetic coefficients.rst 34.3 Proof of the Onsager reciprocal relations.rst 34.4 Thermoelectricity.rst 34.5 Time reversal and the arrow of time.rst 35.1 Gravitational interaction.rst 35.2 Nuclear reactions.rst 35.3 Heat transfer.rst 36.1 Electron degeneracy pressure.rst 36.2 White dwarfs.rst 36.3 Neutron stars.rst 36.4 Black holes.rst 36.5 Accretion.rst 36.6 Black holes and entropy.rst 36.7 Life, the Universe, and entropy.rst 37.1 Solar energy.rst 37.2 The temperature profile in the atmosphere.rst 37.3 Radiative transfer.rst 37.4 The greenhouse effect.rst 37.5 Global warming.rst