Instructor: |
Prof. Alexandre V. Morozov Office hour: by request |
Textbooks: Stochastic Methods:
A Handbook for the Natural and Social Sciences by C. Gardiner, Springer; Statistical Mechanics of Phase Transitions by J. M. Yeomans, Oxford Science Publications;
A Guide to First-Passage Processes by S. Redner, Cambridge University Press;
A Kinetic View of Statistical Physics by P. L. Krapivsky and S. Redner, Cambridge University Press
Prerequisites: Some knowledge of equilibrium statistical physics
Homework and Exam: About
one homework per 2 weeks. One of the homeworks will be written and solved separately by each student. There will be a final take-home exam (48 hours, open book, open notes).
Student Presentations: 15 min presentations on a topic of interest to the class, including derivations, simulations, results from recent papers, etc. The grade is
determined according to the following formula: total score = 1/4(final) + 1/2(homework) + 1/4(presentation)
1. Tutorial on Markov processes (including QM notation): pdf
2. Review on first-passage processes in chemical physics: pdf
3. Classic paper by Berg and Purcell on ligand diffusion and receptor-ligand binding: pdf
4. Review of first-passage processes in networks: pdf
5. Review of maximum entropy methods in statistical physics: pdf
6. Applications of maximum entropy methods in biophysics: pdf
7. Maximum entropy methods and path ensembles (Filyukov & Karpov): pdf
Homework 1 (due 09/27): Problems
Homework 2 (due 10/17): Problems
Homework 3 (due 11/08): Problems
Homework 4 (due 11/29): Problems
Note: NO lecture on Friday, Sep. 23
Note: NO lecture on Tuesday, Nov. 22 (RU on Thursday schedule)
Note: LECTURE on Wednesday, Nov. 23 (RU on Friday schedule)
Note: DEADLINE for submitting talk titles: Wednesday, Nov. 23; 20 minute talks scheduled for December 6,9,13
Day 1 (Dec. 6): |
1. Willow Kion-Crosby (pdf); | 2. Aditya Ballal (pdf); | 3. Vaibhav Dwivedi (pdf) |
Day 2 (Dec. 9): |
1. Unab Javed (pdf); | 2. Pavel Khromov (pdf); | 3. Vedant Sachdeva (pdf) |
Day 3 (Dec. 13): |
1. Wen Sen Lu (pdf); | 2. Mai Ye (pdf); | 3. Khanal Ghanashyam (pdf) |
FINAL EXAM: Dec. 14-16 (Problems Solutions)
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