Physics
677: Advanced Topics in Statistical and Biological Physics, Fall
2018
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Instructor:
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Prof. Alexandre V. Morozov Office hour: by request |
Lectures: Tuesday and Friday, 10.20 - 11.40 am, ARC 205
Textbooks:
Stochastic Methods: A Handbook for the Natural and Social Sciences by C. Gardiner, Springer;
Nonequilibrium Statistical Mechanics by R. Zwanzig, Oxford University Press;
Statistical Physics: Statics, Dynamics and Renormalization by L. Kadanoff, World Scientific;
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: One homework per 2-3 weeks. There will be a final take-home exam (48 hours, open book, open notes).
Student Presentations: 30 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) + 1/4(homework) + 1/2(presentation)
Papers to be covered/discussed in class:
1. In-depth review on stochastic processes in physics and astronomy: Chandrasekhar:RevModPhys1943
2. Review on first-passage processes in chemical physics: Weiss:AdvChemPhys1966
3. First-passage processes in population genetics: Kimura:Genetics1962
4. Review of first-passage processes in networks: Bollt:NewJPhys2005
5. Maxwell's demon: Maruyama:RevModPhys2009 Mandal:PNAS2012 Mandal:PRL2013 Lu:PhysToday2014
6. Review of Jarzynski/Crooks results: Pitaevskii:UspFizNauk2011
7. Landauer's principle: Berut:Nature2012
8. Maximum entropy principle in statistical physics: Presse:RevModPhys2013
9. Maximum entropy methods and path ensembles (Filyukov & Karpov): Filyukov:JEngPhysThermophys1967
10. An excellent review of the Legendre transform: Zia:arxiv2009
11. A review of central issues in statistical mechanics Lebowitz:RevModPhys1999
Lecture Notes:
Lecture 1 (09/04): Gardiner 1.1 - 1.3 pdf
Lecture 2 (09/07): Chandrasekhar pp. 3-7 pdf
Lecture 3 (09/11): Chandrasekhar pp. 8-16 pdf
Lecture 4 (09/18): Chandrasekhar pp. 16-24 pdf
Lecture 5 (09/21): Chandrasekhar pp. 24-26, 31-35 pdf
Lecture 6 (09/25): Chandrasekhar pp. 42-44 pdf
Lecture 7 (09/28): Weiss:AdvChemPhys1966 pp. 10-14 pdf
Lecture 8 (10/02): Kimura:Genetics1962, Bollt:NewJPhys2005 pdf
Lecture 9 (10/05): Redner, Chs. 1 & 2 pdf
Lecture 10 (10/09): Redner, Ch. 6 pdf
Lecture 11 (10/12): Redner, Ch. 7 pdf
Lecture 12 (10/16): Krapivsky and Redner, Ch. 5 pdf
Lecture 13 (10/19): Krapivsky and Redner, Ch. 5 pdf
Lecture 14 (10/30): Krapivsky and Redner, Chs. 5,7,14 pdf
Lecture 15 (11/02): Krapivsky and Redner, Chs. 5,7,14 pdf
Lecture 16 (11/06): Pitaevskii:UspFizNauk2011 pdf
Lecture 17 (11/07): Pitaevskii:UspFizNauk2011 pdf
Lecture 18 (11/09): Mandal:PNAS2012 pdf
Lecture 19 (11/16): Mandal:PNAS2012, Lu:PhysToday2014 pdf video
Lecture 20 (11/20): Yeomans, Chs. 1,2 pdf
Lecture 21 (11/21): Yeomans, Chs. 1,2 pdf
Lecture 22 (11/27): Yeomans, Ch. 4 pdf
Lecture 23 (11/30): Yeomans, Ch. 4 pdf
Lecture 24 (12/04): Yeomans, Ch. 5 pdf
Lecture 25 (12/07): Yeomans, Ch. 9.1 pdf
Lecture 26 (12/11): Yeomans, Ch. 8 pdf
Homework:
Homework 1 (due 10/02): Problems
Homework 2 (due 10/30): Problems
Homework 3 (due 11/30): Problems
Student Presentations (Dec. 14, 10.00 - 12.00 am in Serin E385):
| 1. Travis Dore (pdf) | 2. Shagesh Sridharan (pdf) | 3. Robert Young (pdf) | 4. Aidan Zabalo (pdf) |
FINAL EXAM: Problems
[Due: Mon., Dec. 17 by 5 pm. Please leave your exam in my Physics mailbox or email/bring it to me.]
Note: NO lecture on Sep. 14 10.20 - 11.40 am (to be made up later)
Note: NO lectures on Oct. 23 & Oct. 26 10.20 - 11.40 am (to be made up later)
Note: Make-up lecture on Nov. 7 4.00 - 5.20 pm, Serin E385
Note: NO lecture on Nov. 13 10.20 - 11.40 am (to be made up later)
Note: Make-up lecture on Nov. 20 10.20 - 11.40 am, Serin W112
Please
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