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| Preface | |
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| A Macroscopic View of Matter | |
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| Viewing the World at Different Scales | |
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| Thermodynamics | |
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| The Thermodynamic Limit | |
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| Thermodynamic Transformations | |
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| Classic Ideal Gas | |
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| First Law of Thermodynamics | |
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| Magnetic Systems | |
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| Problems | |
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| References | |
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| Heat and Entropy | |
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| The Heat Equations | |
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| Applications to Ideal Gas | |
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| Carnot Cycle | |
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| Second Law of Thermodynamics | |
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| Absolute Temperature | |
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| Temperature as Integrating Factor | |
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| Entropy | |
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| Entropy of Ideal Gas | |
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| The Limits of Thermodynamics | |
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| Problems | |
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| Using Thermodynamics | |
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| The Energy Equation | |
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| Some Measurable Coefficients | |
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| Entropy and Loss | |
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| TS Diagram | |
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| Condition for Equilibrium | |
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| Helmholtz Free Energy | |
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| Gibbs Potential | |
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| Maxwell Relations | |
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| Chemical Potential | |
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| Problems | |
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| Phase Transitions | |
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| First-Order Phase Transition | |
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| Condition for Phase Coexistence | |
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| Clapeyron Equation | |
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| Van der Waals Equation of State | |
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| Virial Expansion | |
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| Critical Point | |
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| Maxwell Construction | |
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| Scaling | |
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| Nucleation and Spinodal Decomposition | |
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| Problems | |
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| References | |
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| The Statistical Approach | |
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| The Atomic View | |
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| Random Walk | |
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| Phase Space | |
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| Distribution Function | |
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| Ergodic Hypothesis | |
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| Statistical Ensemble | |
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| Microcanonical Ensemble | |
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| Correct Boltzmann Counting | |
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| Distribution Entropy: Boltzmann's H | |
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| The Most Probable Distribution | |
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| Information Theory: Shannon Entropy | |
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| Problems | |
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| References | |
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| Maxwell-Boltzmann Distribution | |
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| Determining the Parameters | |
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| Pressure of Ideal Gas | |
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| Equipartition of Energy | |
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| Distribution of Speed | |
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| Entropy | |
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| Derivation of Thermodynamics | |
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| Fluctuations | |
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| The Boltzmann Factor | |
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| Time's Arrow | |
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| Problems | |
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| References | |
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| Transport Phenomena | |
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| Collisionless and Hydrodynamic Regimes | |
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| Maxwell's Demon | |
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| Nonviscous Hydrodynamics | |
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| Sound Wave | |
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| Diffusion | |
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| Heat Conduction | |
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| Viscosity | |
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| Navier-Stokes Equation | |
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| Problems | |
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| References | |
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| Canonical Ensemble | |
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| Review of the Microcanonical Ensemble | |
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| Classical Canonical Ensemble | |
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| The Partition Function | |
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| Connection with Thermodynamics | |
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| Energy Fluctuations | |
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| Minimization of Free Energy | |
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| Classical Ideal Gas | |
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| Problems | |
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| Grand Canonical Ensemble | |
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| The Particle Reservoir | |
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| Grand Partition Function | |
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| Number Fluctuations | |
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| Connection with Thermodynamics | |
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| Parametric Equation of State and Virial Expansion | |
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| Critical Fluctuations | |
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| Pair Creation | |
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| Problems | |
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| Noise | |
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| Thermal Fluctuations | |
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| Nyquist Noise | |
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| Brownian Motion | |
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| Einstein's Theory | |
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| Diffusion | |
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| Einstein's Relation | |
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| Molecular Reality | |
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| Fluctuation and Dissipation | |
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| Brownian Motion of the Stock Market | |
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| Problems | |
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| References | |
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| Stochastic Processes | |
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| Randomness and Probability | |
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| Binomial Distribution | |
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| Poisson Distribution | |
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| Gaussian Distribution | |
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| Central Limit Theorem | |
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| Shot Noise | |
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| Problems | |
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| References | |
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| Time-Series Analysis | |
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| Ensemble of Paths | |
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| Ensemble Average | |
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| Power Spectrum and Correlation Function | |
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| Signal and Noise | |
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| Transition Probabilities | |
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| Markov Process | |
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| Fokker-Planck Equation | |
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| The Monte Carlo Method | |
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| Simulation of the Ising Model | |
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| Problems | |
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| References | |
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| The Langevin Equation | |
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| The Equation and Solution | |
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| Energy Balance | |
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| Fluctuation-Dissipation Theorem | |
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| Diffusion Coefficient and Einstein's Relation | |
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| Transition Probability: Fokker-Planck Equation | |
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| Heating by Stirring: Forced Oscillator in Medium | |
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| Problems | |
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| Quantum Statistics | |
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| Thermal Wavelength | |
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| Identical Particles | |
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| Occupation Numbers | |
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| Spin | |
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| Microcanonical Ensemble | |
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| Fermi Statistics | |
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| Bose Statistics | |
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| Determining the Parameters | |
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| Pressure | |
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| Entropy | |
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| Free Energy | |
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| Equation of State | |
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| Classical Limit | |
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| Problems | |
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| Reference | |
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| Quantum Ensembles | |
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| Incoherent Superposition of States | |
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| Density Matrix | |
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| Canonical Ensemble (Quantum-Mechanical) | |
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| Grand Canonical Ensemble (Quantum-Mechanical) | |
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| Occupation Number Fluctuations | |
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| Photon Bunching | |
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| Problems | |
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| References | |
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| The Fermi Gas | |
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| Fermi Energy | |
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| Ground State | |
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| Fermi Temperature | |
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| Low-Temperature Properties | |
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| Particles and Holes | |
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| Electrons in Solids | |
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| Semiconductors | |
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| Problems | |
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| The Bose Gas | |
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| Photons | |
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| Bose Enhancement | |
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| Phonons | |
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| Debye Specific Heat | |
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| Electronic Specific Heat | |
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| Conservation of Particle Number | |
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| Problems | |
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| References | |
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| Bose-Einstein Condensation | |
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| Macroscopic Occupation | |
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| The Condensate | |
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| Equation of State | |
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| Specific Heat | |
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| How a Phase is Formed | |
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| Liquid Helium | |
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| Problems | |
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| References | |
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| The Order Parameter | |
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| The Essence of Phase Transitions | |
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| Ginsburg-Landau Theory | |
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| Relation to Microscopic Theory | |
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| Functional integration and Differentiation | |
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| Second-Order Phase Transition | |
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| Mean-Field Theory | |
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| Critical Exponents | |
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| The Correlation Length | |
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| First-Order Phase Transition | |
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| Cahn-Hilliard Equation | |
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| Problems | |
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| References | |
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| Superfluidity | |
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| Condensate Wave Function | |
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| Spontaneous Symmetry Breaking | |
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| Mean-Field Theory | |
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| Observation of Bose-Einstein Condensation | |
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| Quantum Phase Coherence | |
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| Superfluid Flow | |
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| Phonons: Goldstone Mode | |
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| Problems | |
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| References | |
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| Superconductivity | |
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| Meissner Effect | |
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| Magnetic Flux Quantum | |
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| Josephson Junction | |
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| DC Josephson Effect | |
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| AC Josephson Effect | |
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| Time-Dependent Vector Potential | |
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| The SQUID | |
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| Broken Symmetry | |
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| Problems | |
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| References | |
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| Appendix | |
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| Index | |