Lecture Summary as of 11-Jan-2005 Sum-1Lecture 1• Introduction• Some History (mostly taken from Reif)• Some Thermodynamic Concepts• Entropy• Example: Ideal Gas Entropy• What Those Large Numbers Mean• Quantum Mechanics and Counting StatesLecture 2• Reading• Entropy and the Number of States• Why is the Number of States Maxi mized?• Aside—Entropy and Information• Macroscopic Parameters• The TemperatureLecture 3• Pressure• Chemical Potential• First Derivatives versus Second Derivatives• Probability• Averages• Probabilities for Continuous Variables.• The Binomial DistributionLecture 4• Example—A Spin System• The Boltzmann Factor• The Gaussian DistributionLecture 5• Reading• The Boltzmann Factor• Systems with Several Forms of Energy• Diversion: the Maxwell Velocity Distribution• Aside—the Gamma Function• The Partit ion FunctionCopyrightc 2005, Princeton University Physics Department, Edward J. GrothLecture Summary as of 11-Jan-2005 Sum-2Lecture 6• Entropy and Probabilities• Heat Capacity• Reversible Processes• Pressure• Pressure in a Low Density Gas, I• Pressure in a Low Density Gas, IILecture 7• States of a Particle in a Box.• Partition Function for a Single Particle in a Box• Partition Function for N Particles in a Box• Helmholtz Free Energy• The Free Energy and the Partition FunctionLecture 8• Reading• Classical Statistical Mechanics• A Classical Harmonic Oscillat or• Classical Cavity Radiatio nLecture 9• A Quantum Harmonic Oscillator• Quantum Cavity Radiation• More on Blackbody RadiationLecture 10• Johnson Noise• Debye Theory of Lattice Vibrations• The Nyquist FrequencyLecture 11• Reading• Parting Shot on Oscillators• Integrals Related to P lanck’s Law• The Chemical Potential• Getting a Feel for the Chemical PotentialCopyrightc 2005, Princeton University Physics Department, Edward J. GrothLecture Summary as of 11-Jan-2005 Sum-3Lecture 12• The Gibbs Factor• Example: Binding of N Molecules• More on the Chemical Potential—Energy to Add a Particle• Example: Chemical Potential and BatteriesLecture 13• Example: Magnetic Particles in a Magnetic Field• Example: Impurity Ionization• Example: K&K, Chapter 5, Problem 6• Fermi-Dirac and Bose-Einstein DistributionsLecture 14• Reading• The Ideal Gas Ag ain• The N Particle Problem• The Ideal Gas From the Grand Partition Function• Internal Degrees of FreedomLecture 15• Examples of Zint• Ideal Gas Processes• The Gibbs Paradox Revisit edLecture 16• The Sackur-Tetrode Entropy and E xperiment• The Ideal Fermi Gas• Heat Capacity of a Cold Fermi GasLecture 17• Reading• More on Fermi Gases• Other Fermi Gases• Neutron StarsLecture 18• Bose-Einstein Gases• Superfluid HeliumCopyrightc 2005, Princeton University Physics Department, Edward J. GrothLecture Summary as of 11-Jan-2005 Sum-4Lecture 19• Heat and Work• The Carnot Cycle• Other Thermodynamic FunctionsLecture 20• Reading• Gibbs Free Energy• Chemical Equil ibrium• The Law of Mass Action• Application: pH• Other Ways of Expressing the Law of Mass ActionLecture 21• The Direction of a Reaction• Application: the Saha Equation• Phase Transitions• Phase DiagramsLecture 22• First Order and Second Order Phase Transitions• The Clausius-Clapeyron Equation• The van der Waals Equatio n o f Stat eLecture 23• Reading• Phase Transitions and the van der Waals Equati on of State• DropletsLecture 24• A Simple Model of Ferromagnetism• Superconductors, the Meissner Effect, and Magnetic Energy• The Ising ModelLecture 25• Cooling by Expansion• Throttling Processes• The Joule-Thomson Effect• Cooling by Pumping• The Helium Dilutio n Refrigerator• Isentropic Demagnetization• Laser and Evaporative CoolingCopyrightc 2005, Princeton University Physics Department, Edward J. GrothLecture Summary as of 11-Jan-2005 Sum-5Lecture 26• Reading• Semiconductor Basics• Electron Distribution in Semiconductors• Law of Mass Action for Semiconductors• Electron Distribution in Doped SemiconductorsLecture 27• Electron Distribution in Degenerate Semiconductors• Ionization of Donors and Acceptors• Electron-Hole Interactions• The p-n JunctionLecture 28• Reading• The Depletion Region in a p-n Junction• A Reverse Biased p-n Junction• A Forward Biased p-n JunctionLecture 29• The Maxwell Velocity Distribution• Cross Sections• Example: Cross Section for Smooth Hard Sphere Elasti c Scattering• Reaction Rates• The Collision Rate a nd the Mean Free PathLecture 30• Transport• Transport Coefficients• Diffusivity• A Bit More on the Diffusivity• Thermal Conductivity• ViscosityLecture 31• Reading• The Boltzmann Transport Equation• The Boltzmann Equation and Simple Diffusion• Diffusion and the Fermi-Dirac Distribution• Electrical Conductivity• Diffusion EquationsCopyrightc 2005, Princeton University Physics Department, Edward J. GrothLecture Summary as of 11-Jan-2005 Sum-6Lecture 32• Sample Solution of the Diffusion Equation: Equilibrating Bar• The Dispersion Relation• Random Walks and Diffusion• Sample Solution: A Temperature Oscillati o n• The Diffusion of a One Di mensional BumpLecture 33• Time Independent Solutions of the Diffusion Equation• Continuity Equati o n for Mass• Sound Waves in a Gas• Wave Functions for a Sound Wave• Heat Losses in a WaveCopyrightc 2005, Princeton University Physics Department, Edward J.
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