Libri/Statistical Mechanics

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Statistical Mechanics[edit source]

Review of thermodynamics
Course:Statistical_Mechanics/Review of thermodynamics/Introduction
Course:Statistical_Mechanics/Review of thermodynamics/State variables
Course:Statistical_Mechanics/Review of thermodynamics/Entropy
Course:Statistical_Mechanics/Review of thermodynamics/Thermodynamic potentials
Course:Statistical_Mechanics/Review of thermodynamics/Gibbs-Duhem and Maxwell relations
Course:Statistical_Mechanics/Review of thermodynamics/Response functions
Course:Statistical_Mechanics/Review of thermodynamics/Phase transitions and phase diagrams
Course:Statistical_Mechanics/Review of thermodynamics/Phase coexistence and general properties of phase transitions
Course:Statistical_Mechanics/Review of thermodynamics/Gibbs phase rule
Course:Statistical_Mechanics/Review of thermodynamics/Order parameters
Course:Statistical_Mechanics/Review of thermodynamics/Classification of phase transitions
Course:Statistical_Mechanics/Review of thermodynamics/Critical exponents and universality
Course:Statistical_Mechanics/Review of thermodynamics/Inequalities between critical exponents
Brownian motion
Course:Statistical_Mechanics/Brownian motion/Random walks and diffusion
Course:Statistical_Mechanics/Brownian motion/General properties of random walks
Course:Statistical_Mechanics/Brownian motion/The diffusion equation
Course:Statistical_Mechanics/Brownian motion/Fokker-Planck and Langevin's equations
Ensemble theory
Course:Statistical_Mechanics/Ensemble theory/A bridge between the microscopic and the macroscopic
Course:Statistical_Mechanics/Ensemble theory/The microcanonical ensemble
Course:Statistical_Mechanics/Ensemble theory/The monoatomic ideal gas
Course:Statistical_Mechanics/Ensemble theory/Statistics and thermodynamics
Course:Statistical_Mechanics/Ensemble theory/Some remarks and refinements in the definition of entropy
Course:Statistical_Mechanics/Ensemble theory/Some explicit computations for the monoatomic ideal gas
Course:Statistical_Mechanics/Ensemble theory/The foundations of statistical mechanics
Course:Statistical_Mechanics/Ensemble theory/The canonical ensemble
Course:Statistical_Mechanics/Ensemble theory/The canonical and the microcanonical ensemble
Course:Statistical_Mechanics/Ensemble theory/Helmholtz free energy
Course:Statistical_Mechanics/Ensemble theory/The canonical ensemble at work
Course:Statistical_Mechanics/Ensemble theory/The equipartition theorem
Course:Statistical_Mechanics/Ensemble theory/The grand canonical ensemble
Course:Statistical_Mechanics/Ensemble theory/Fluctuations in the grand canonical ensemble
Course:Statistical_Mechanics/Ensemble theory/Grand potential
Entropy and its meanings
Course:Statistical_Mechanics/Entropy and its meanings/Introduction
Course:Statistical_Mechanics/Entropy and its meanings/Heat engines and entropy
Course:Statistical_Mechanics/Entropy and its meanings/Time and entropy
Course:Statistical_Mechanics/Entropy and its meanings/Entropy as disorder
Course:Statistical_Mechanics/Entropy and its meanings/Mixing of gases
Course:Statistical_Mechanics/Entropy and its meanings/Entropy as ignorance: information entropy
Course:Statistical_Mechanics/Entropy and its meanings/Shannon's entropy
Course:Statistical_Mechanics/Entropy and its meanings/Conclusions: the most general definition of entropy
Course:Statistical_Mechanics/Entropy and its meanings/Entropy and the arrow of time
Course:Statistical_Mechanics/Entropy and its meanings/A niftier framework for the statistical ensembles
Statistical mechanics of phase transitions
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Introduction
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Statistical mechanics and phase transitions
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Long range correlations
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Finite size effects on phase transitions
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Models in statistical mechanics
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Introduction
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Analytic properties of the Ising model
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Absence of phase transitions for finite systems
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Ising model and fluids
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Ising model and the ideal gas
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Ising model and binary alloys
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Ising model and neural networks
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Final remark on equivalence in statistical mechanics
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Ising model in one dimension
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Bulk free energy, thermodynamic limit and absence of phase transitions
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Irrelevance of boundary conditions
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Absence of spontaneous magnetization
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/The transfer matrix method
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/A slightly trickier system: the Heisenberg model
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/The Ising model in higher dimensions
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Additional remarks on the Ising model
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/The role of dimensionality
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/The role of symmetry
Course:Statistical_Mechanics/Statistical mechanics of phase transitions/The role of interaction range
Mean field theories
Course:Statistical_Mechanics/Mean field theories/Introduction
Course:Statistical_Mechanics/Mean field theories/Weiss mean field theory for the Ising model
Course:Statistical_Mechanics/Mean field theories/Critical exponents of Weiss mean field theory for the Ising model
Course:Statistical_Mechanics/Mean field theories/Hubbard-Stratonovich mean field theory for the Ising model
Course:Statistical_Mechanics/Mean field theories/Variational methods
Course:Statistical_Mechanics/Mean field theories/Bragg-Williams approximation for the Ising model
Course:Statistical_Mechanics/Mean field theories/Bragg-Williams approximation for the Potts model
Course:Statistical_Mechanics/Mean field theories/Mean field theory for the Blume-Emery-Griffiths model
Course:Statistical_Mechanics/Mean field theories/Mean field theories for fluids
Course:Statistical_Mechanics/Mean field theories/Van der Waals equation
Course:Statistical_Mechanics/Mean field theories/Mean field theories for weakly interacting systems
Course:Statistical_Mechanics/Mean field theories/Introduction to Landau theory
Course:Statistical_Mechanics/Mean field theories/Assumptions of the Landau theory
Course:Statistical_Mechanics/Mean field theories/Landau theory for the Ising model
Course:Statistical_Mechanics/Mean field theories/First-order phase transitions in Landau theory
Course:Statistical_Mechanics/Mean field theories/Liquid crystals
Course:Statistical_Mechanics/Mean field theories/Introduction: Ginzburg criterion
Course:Statistical_Mechanics/Mean field theories/Functional partition function and coarse graining
Course:Statistical_Mechanics/Mean field theories/Coarse graining procedure for the Ising model
Scaling theory
Course:Statistical_Mechanics/Scaling theory/Introduction
Course:Statistical_Mechanics/Scaling theory/Widom's static scaling theory
Course:Statistical_Mechanics/Scaling theory/Relations between critical exponents
Course:Statistical_Mechanics/Scaling theory/Rescaled state equation
Course:Statistical_Mechanics/Scaling theory/Kadanoff's scaling and correlation lengths
Course:Statistical_Mechanics/Scaling theory/Kadanoff's argument for the Ising model
The Renormalization Group
Course:Statistical_Mechanics/The Renormalization Group/Introduction
Course:Statistical_Mechanics/The Renormalization Group/Basic ideas of the Renormalization Group
Course:Statistical_Mechanics/The Renormalization Group/Singular behaviour in the Renormalization Group
Course:Statistical_Mechanics/The Renormalization Group/Fixed points of the Renormalization Group flow
Course:Statistical_Mechanics/The Renormalization Group/Renormalization Group flow near a fixed point
Course:Statistical_Mechanics/The Renormalization Group/Global properties of the Renormalization Group flow
Course:Statistical_Mechanics/The Renormalization Group/Universality in the Renormalization Group
Course:Statistical_Mechanics/The Renormalization Group/The origins of scaling and critical behaviour
Course:Statistical_Mechanics/The Renormalization Group/Irrelevant variables
Course:Statistical_Mechanics/The Renormalization Group/Renormalization Group in coordinate space
Course:Statistical Mechanics/The Renormalization Group/Decimation to N/3 spins for a one-dimensional Ising model with H=0
Course:Statistical_Mechanics/The Renormalization Group/Decimation to N_2 spins for a one-dimensional Ising model with H neq 0
Course:Statistical Mechanics/The Renormalization Group/Decimation in dimensions higher than one: proliferation of the interactions
Appendices
Course:Statistical_Mechanics/Appendices/Volume of a hypersphere
Course:Statistical_Mechanics/Appendices/The saddle point approximation
Course:Statistical_Mechanics/Appendices/Stirling's approximation
Course:Statistical_Mechanics/Appendices/Introduction
Course:Statistical_Mechanics/Appendices/Liouville's theorem
Course:Statistical_Mechanics/Appendices/Ergodicity
Course:Statistical_Mechanics/Appendices/Homogeneous functions of one or more variables
Course:Statistical_Mechanics/Appendices/Generalized homogeneous functions