CHEM 703 / CHPH 703 / PHYS 703
Introduction to Nonequilibrium Statistical Physics
Exam
Final Exam, due Tuesday, May 19, 5:00pm
+ Solutions
Online Lectures
Relative Entropy And Relaxation To Equilibrium, March 31:
pdf ,
mp4
Linear Response Theory, April 2:
pdf ,
mp4
Discrete-state Processes, April 7:
pdf ,
mp4
Perron-Frobenius Theorem, April 9:
pdf ,
mp4
Detailed Balance, April 14:
pdf ,
mp4
More Discrete-state Processes, April 16:
pdf ,
mp4
Thermodynamic Forces, April 21:
pdf ,
mp4
Thermal Ratchets, April 23:
pdf ,
mp4
Nonequilibrium Work Relations, April 28, 30:
pdf ,
mp4 (4/28) ,
mp4 (4/30)
Implications of Work Relations, May 5:
pdf ,
mp4 (most of lecture) ,
mp4 (last few minutes)
Fluctuation Theorem for Entropy Production, May 7:
pdf ,
mp4
Maxwell's Demon / Up the Ladder of Timescales, May 12:
pdf (demon) ,
pdf (timescales) ,
mp4
Problem Sets
Problem Set 1
+ Solutions
Problem Set 2
+ Solutions
Problem Set 3
+ Solutions
Problem Set 4
+ Solutions
Problem Set 5
+ Solutions
Assorted Notes
Math tools
Brief review of relevant thermodynamics
Ensembles and distributions on energy shells
Ornstein-Uhlenbeck process
Coarse-graining: from a hard sphere in a gas to Brownian motion
A few elementary facts about real square matrices
Operator formalism for diffusive dynamics (March 12 lecture notes)
Rate matrices, two examples
Additional Resources
The Physics of J. Willard Gibbs in his Time, Klein, Physics Today (1990)
The large deviation approach to statistical mechanics, Touchette, Physics Reports (2009)
Making sense of the Legendre transform, Zia, Redish, McKay, American Journal of Physics (2009)
Hamiltonian systems and transformations in Hilbert space, Koopman, Proceedings of the National Academy of Sciences (USA) (1931)
Ergodicity - Appendix 2 in Multiphase Averaging for Classical Systems, Lochak and Meunier (Springer, 1988)
On the Adiabatic Theorem for the Hamiltonian System of Differential Equations in the Classical Mechanics. I - III, Kasuga, Proceedings of the Japan Academy (1961)
Langevin equation and thermodynamics,
Sekimoto, Prog Theor Phys Supp (1998)
Comparison of far-from-equilibrium work relations,
Jarzynski, Comptes Rendues Physique (2007)
The anatomy of a large-scale hypertextual Web search engine, Brin and Page, Computer Networks and ISDN Systems (1998)
Network theory of microscopic and macroscopic behavior of master equation systems,
Schnakenberg, Reviews of Modern Physics (1976)
Stochastic thermodynamics, fluctuation theorems and molecular machines,
Seifert, Rep Prog Phys (2012)
Chemomechanical Coupling of Molecular Motors: Thermodynamics, Network Representations, and Balance Conditions,
Lipowsky and Liepelt, J Stat Phys (2008)
Direct observation of the rotation of F1-ATPase,
Noji, Yasuda, Yoshida and Kinosita, Nature (1997)
Mechanically driven ATP synthesis by F1-ATPase,
Itoh et al, Nature (2004)
Feynman's ratchet and pawl: An exactly solvable model,
Jarzynski and Mazonka, Phys Rev E (1999)
Equalities and Inequalities: Irreversibility and the Second Law of Thermodynamics at the Nanoscale,
Jarzynski, Annu Rev Cond Matt Phys (2011)
A Gallavotti-Cohen-type symmetry in the large deviation functional for stochastic dynamics ,
J.L. Lebowitz and H. Spohn, J Stat Phys (1999)