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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 01 - Recapitulation of Equilibrium Statistical Mechanics

Isolated system in thermal equilibrium. Fundamental postulate of equilibrium statistical mechanics. Microcanonical ensemble. Boltzmann's formula for the entropy. Connection with thermodynamics. Closed systems and the canonical ensemble. Canonical partition function.


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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)