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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