G. Reza Jafari

This course devoted to advanced topics on non-equilibrium statistical physics for the graduate students.

Some topics are as follows:

• Introduction to stochastic process
• Introduction to Bayesian analysis
• Master equation
• Reaction-diffusion
• Generalized random walk
• Continuous time random walk (CTRW)
• Aging phenomena
• Fractional diffusion and Fokker–Planck equations for subdiffusion
• Lévy flights
• Coupled CTRW and Lévy walks
• Random walks on percolation structures

References:

• First Steps in Random Walks: From Tools to Applications

Igor M. Sokolov and Joseph Klafter

Oxford University Press (2011)

• A Kinetic View of Statistical Physics

Eli Ben-Naim, Pavel L. Krapivsky, and Sidney Redner

Cambridge University Press (2010)

•  Random Walks and Diffusion on Networks,  Naoki Masuda, Mason A.Porter, Renaud Lambiotte, Physics Reports Volumes 716–717, 22 November 2017, Pages 1-58
• Prof. Karimipour notes on physics of disordered systems, statistical physics, and critical phenomena

Notes:

• Non-Equilibrium Statistical Physics (some notes: Part1, Part2, Part3, Part4)

Exercises:

1. Set 1 (Download) (This set is taken from Prof. Karimipour homepage) 
2. Set 2 (Download) (This set is taken from Prof. Karimipour homepage) 
   
3. Set 3 (Download)                                                                                                   
4. Set 4 (Download)                                                                                                   
5. Set 5 (Download)