Statistical Mechanics: Theory and Molecular Simulation

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Statistical MechanicsTheory and Molecular SimulationMark TuckermanOxford Graduate Texts

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http://www.nyu.edu/classes/tuckerman/stat.mech/

Lecture 1 -- Classical microstates, Newtonian, Lagrangian and Hamiltonian mechanics, ensemble concept.

Lecture 2 -- Liouville's Theorem, non-Hamiltonian systems, the microcanonical ensemble

Lecture 3 -- Thermal equilibrium; the arrow of time.

Lecture 4 -- Classical virial theorem; Legendre transforms; the canonical ensemble.

Lecture 5 -- Estimators, energy fluctuations, the isothermal-isobaric ensemble

Lecture 6 -- The classical ideal gas

Lecture 7 -- The grand canonical ensemble

Lecture 8 -- Structure and distribution functions in classical liquids and gases

Lecture 9 -- Distribution functions in classical liquids and gases (cont'd)

Lecture 10 -- Distribution functions and perturbation theory

Lecture 11 -- Reaction coordinates and free energy profiles

Lecture 13 -- Basic principles of quantum statistical mechanics

Lecture 14 -- The path integral formulation of quantum statistical mechanics

Lecture 15 -- The path integral formulation (cont'd) -- functional integrals

Lecture 16 -- Expansion about the classical path and the saddle-point approximation

Lecture 17 -- Expectation values and thermodynamics from path integrals.

Lecture 18 -- The quantum ideal gases -- general formulation

Lecture 19 -- The ideal fermion gas

Lecture 20 -- The ideal boson gas

Lecture 21 -- Classical linear response theory, time correlation functions and transport coefficients.

Lecture 22 -- Absorption/emission spectra and quantum time correlation functions.

Lecture 23 -- Quantum linear response theory.

Lecture 24 -- The generalized Langevin equation and vibrational dephasing.

Lecture 25 -- Overview of critical phenomena; the Ising model.

Lecture 26 -- Mean field theory and exact solution of the Ising model.

Lecture 27 -- Introduction to the renormalization group and scaling.

Lecture 28 -- Linearized RG theory, universality, and scaling relations.

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Lecture 1 -- Classical microstates, Newtonian, Lagrangian and Hamiltonian mechanics

Lecture 2 -- Liouville's Theorem, non-Hamiltonian systems, the microcanonical ensemble

Lecture 3 -- Classical virial theorem; Legendre transforms; the canonical ensemble

Lecture 4 -- Estimators, energy fluctuations, the isothermal-isobaric ensemble

Lecture 5 -- The grand canonical ensemble

Lecture 6 -- Characterizing the structure of liquids

Lecture 7 -- Distribution function theory

Lecture 8 -- Perturbation theory and the van der Waals equation

Lecture 9 -- Free-energy calculations

Lecture 10 -- Postulates of Quantum Mechanics

Lecture 11 -- Fundamentals of quantum statistical mechanics

Lecture 12 -- Discretized and continuous path integrals

Lecture 13 -- Expansion about the classical path and stationary phase

Lecture 14 -- Calculation of observables from path integrals

Lecture 15 -- Classical linear response theory

Lecture 16 -- Quantum time-dependent perturbation theory

Lecture 17 -- Calculation of spectra from perturbation theory

Lecture 18 -- Quantum linear response theory

Lecture 19 -- The Langevin and Generalized Langevin equations

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