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Nonequilibrium Statistical Mechanics

Nonequilibrium Statistical Mechanics. Instructor: Professor V. Balakrishnan, Department of Physics, IIT Madras. Thermal fluctuations, Langevin dynamics, Brownian motion and diffusion, Fokker-Planck equations, linear response theory, fluctuation-dissipation relations, the Boltzmann equation, critical phenomena, scaling and critical exponents. (from nptel.ac.in)

Lecture 06 - Linear Response Theory (Part 1)

Classical and quantum equations of motion in Hamiltonian dynamics. Liouville operator and its hermiticity. Unitarity of the time evolution operator. Density matrix; pure and mixed states. Liouville and von Neumann equations for the density operator. Expectation value of a physical observable.


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Lecture 01 - Recapitulation of Equilibrium Statistical Mechanics
Lecture 02 - The Langevin Model (Part 1)
Lecture 03 - The Langevin Model (Part 2)
Lecture 04 - The Langevin Model (Part 3)
Lecture 05 - The Langevin Model (Part 4)
Lecture 06 - Linear Response Theory (Part 1)
Lecture 07 - Linear Response Theory (Part 2)
Lecture 08 - Linear Response (Part 3)
Lecture 09 - Linear Response (Part 4)
Lecture 10 - Linear Response (Part 5)
Lecture 11 - Linear Response (Part 6)
Lecture 12 - Linear Response Theory (Part 7)
Lecture 13 - Quiz 1 - Questions and Answers
Lecture 14 - Linear Response Theory (Part 8)
Lecture 15 - Linear Response Theory (Part 9)
Lecture 16 - The Dynamic Mobility
Lecture 17 - Fokker-Planck Equations (Part 1)
Lecture 18 - Fokker-Planck Equations (Part 2)
Lecture 19 - Fokker-Planck Equations (Part 3)
Lecture 20 - The Generalized Langevin Equation (Part 1)
Lecture 21 - The Generalized Langevin Equation (Part 2)
Lecture 22 - Diffusion in a Magnetic Field
Lecture 23 - The Boltzmann Equation for a Dilute Gas (Part 1)
Lecture 24 - The Boltzmann Equation for a Dilute Gas (Part 2)
Lecture 25 - The Boltzmann Equation for a Dilute Gas (Part 3)
Lecture 26 - The Boltzmann Equation for a Dilute Gas (Part 4)
Lecture 27 - The Boltzmann Equation for a Dilute Gas (Part 5)
Lecture 28 - Quiz 2 - Questions and Answers
Lecture 29 - Critical Phenomena (Part 1)
Lecture 30 - Critical Phenomena (Part 2)
Lecture 31 - Critical Phenomena (Part 3)
Lecture 32 - Critical Phenomena (Part 4)
Lecture 33 - Critical Phenomena (Part 5)
Lecture 34 - Critical Phenomena (Part 6)
Lecture 35 - Critical Phenomena (Part 7)
Lecture 36 - The Wiener Process (Standard Brownian Motion)