Topics in Non-Equilibrium Statistical Physics

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:

https://global.oup.com/academic/product/first-steps-in-random-walks-9780199234868?cc=ir&lang=en&

Igor M. Sokolov and Joseph Klafter

Oxford University Press (2011)

Image result for kinetic theory statistical mechanics redner

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

Cambridge University Press (2010)

Time table of homework sets:

Set NumberDelivery DateDue Date
Set#11400/08/111400/08/21
Set#21400/08/111400/08/21
Set#31400/08/231400/09/01
Set#41400/08/231400/09/09
Set#51400/09/091400/09/15
Set#61400/09/091400/09/22
Set#71400/09/091400/09/29
Set#81400/09/091400/10/06

Grading:

Score
Homeworks12
Final Exam (Take Home)2
Project or Presentation6
The extra score for using LaTeX and delivering solutions in PDF format3
Sum23

Notes:

Exercises:

  1. Set #1 (Download)  (Answer key)
  2. Set #2 (Download)  (Answer key)
  3. Set #3 (Download)  (Answer key)
  4. Set #4 (Download) (Answer key)
  5. Set #5 (Download) (Answer key)
  6. Set #6 (Download) (Answer key)   
  7. Set #7 (Download)  (Answer key)    
  8. Set #8 (Download)  (Answer key)    

Presntation & Project:

نرگس اقبالی ارشد99416014 Read and present this thesis
کامجو بیات دکتری400516008 Read and present this thesis
رامتین ریحانی کیوی ارشد99416035 Read and present this thesis
حدیثه سعادتی ارشد99416003 Read and present this thesis
عارفه سادات ظریفیان پروین حسینی ارشد99416049 Read and present this thesis
سپیده عرب محمدی دکتری400516012 Read and present this thesis
آناهید کیانی ارشد99416060 Read and present this thesis
فریده متقیان دکتری 400516014 Read and present this thesis
مریم معصومی دکتری 400516017 Read and present this thesis