Physics - Nonequilibrium Statistical Mechanics

Instructor: Professor V. Balakrishnan, Department of Physics, IIT Madras.

This course will introduce students to concepts of physics like 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.

Mod-01 Lec-01 Recapitulation of equilibrium statistical mechanics.
Mod-01 Lec-02 The Langevin model (Part 1).
Mod-01 Lec-03 The Langevin model (Part 2).
Mod-01 Lec-04 The Langevin model (Part 3).
Mod-01 Lec-05 The Langevin model (Part 4).
Mod-01 Lec-06 Linear response theory (Part 1).
Mod-01 Lec-07 Linear response theory (Part 2).
Mod-01 Lec-08 Linear response (Part 3).
Mod-01 Lec-09 Linear response(Part 4).
Mod-01 Lec-10 Linear response (Part 5).
Mod-01 Lec-11 Linear response (Part 6).
Mod-01 Lec-12 Linear response theory (Part 7).
Mod-01 Lec-13 Quiz 1 - Questions and answers.
Mod-01 Lec-14 Linear response theory (Part 8).
Mod-01 Lec-15 Linear response theory (Part 9).
Mod-01 Lec-16 The dynamic mobility.
Mod-01 Lec-17 Fokker-Planck equations (Part 1).
Mod-01 Lec-18 Fokker-Planck equations (Part 2).
Mod-01 Lec-19 Fokker-Planck equations (Part 3).
Mod-01 Lec-20 The generalized Langevin equation (Part 1).
Mod-01 Lec-21 The generalized Langevin equation (Part 2).
Mod-01 Lec-22 Diffusion in a magnetic field.
Mod-01 Lec-23 The Boltzmann equation for a dilute gas (Part 1).
Mod-01 Lec-24 The Boltzmann equation for a dilute gas (Part 2).
Mod-01 Lec-25 The Boltzmann equation for a dilute gas (Part 3).
Mod-01 Lec-26 The Boltzmann equation for a dilute gas (Part 4).
Mod-01 Lec-27 The Boltzmann equation for a dilute gas (Part 5).
Mod-01 Lec-28 Quiz 2 - Questions and answers.
Mod-01 Lec-29 Critical phenomena (Part 1).
Mod-01 Lec-30 Critical phenomena (Part 2).
LectureMod-01 Lec-31 Critical phenomena (Part 3).
Mod-01 Lec-32 Critical phenomena (Part 4).
Mod-01 Lec-33 Critical phenomena (Part 5).
Mod-01 Lec-34 Critical phenomena (Part 6).
Mod-01 Lec-35 Critical phenomena (Part 7).
Mod-01 Lec-36 The Wiener process (standard Brownian motion).