Physics 677: Advanced Topics in Statistical and Biological Physics, Fall 2018

 


Instructor:

 

Prof. Alexandre V. Morozov
Office: Serin E266
E-mail: morozov AT physics.rutgers.edu
Phone:  (848) 445-1387

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



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 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, Lu:PhysToday2014 pdf video



Homework:

Homework 1 (due 10/02): Problems

Homework 2 (due 10/30): Problems



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




Students with Disabilities


Please send any comments about this page to morozov at physics.rutgers.edu

Department of Physics and Astronomy Main Page