Course

P476 Non-equilibrium Statistical Mechanics

Course No: 
P476
Credit: 
8
Prerequisites: 
P301 (Statistical Mechanics)
Approval: 
UG-Elective
Syllabus: 

(42 Lectures + 14 Tutorial)

  1. Kinetic theory of gases, Bolzmann distribution and its implications.
  2. Bolzmann equation, H Theorem, Conservations laws and Hydrodynamics
  3. Linear response, fluctuation dissipation theorem,Green-Kubo formula
  4. Markov Processes: Conditional probabilities, Markov processes, Chapman-Kolmogorov equation, Master equation, Fokker Planck equation, Random walk processes,Ising Glauber Model
  5. Stochastic differential equations: Langevin equation, stochastic integration, Ito calculus, Stratonvich integrals
  6. Diffusion equations, first passage problems, driven diffusive systems
  7. Applications: Aggregation,Fragmentation,Phase ordering Kinetic,Exclusion processes
Reference Books: 
  1. Stochastic Methods by C. Gardiner
  2. A Kinetic View of Statistical Physics by P. L. Kaprivsky, S. Redner and E. Ben Naim
  3. Statistical Physics 2- Nonequilibrium Statistical Mechanics by R. Kubo, M. Toda and N. Hashitsume
  4. Stochastic Processes in Physics and Chemistry by N. G. Van Kampen.
  5. Theory and Applications of Stochastic Processes by Z. Schuss
  6. A Guide to First Passage Processes by S. Redner
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