(1) 1-12-26: Course overview; introduction to nonequilibrium thermodynamics:
Video,
Slides.
(2) 1-14-26: Course overview continued, coarse-graining:
Video.
Coarse-graining physical systems (micro- vs. macro-states, seven ways of looking at a protein, turtles all the way down):
Slides.
(3) 1-16-26: Trajectories and ensembles, the basics of probability theory, Bayes' rule:
Video,
Notes.
(4) 1-21-26: Understanding Bayes' rule: posterior, prior, and likelihood; fitting models to data:
Video,
Notes.
(5) 1-23-26: Application of Bayesian model fitting: dense neural networks:
Video,
Notes.
(6) 1-28-26: The Markovian assumption and its consequences: calculating the probabilities of trajectories and states, master equation:
Video,
Notes.
(7) 1-30-26: Simulating trajectories, continuous vs discrete descriptions of system states and time, existence of stationary probabilities:
Video,
Notes.
(8) 2-2-26: Classifying transition graphs (ergodicity and microscopic reversibility), mean hitting times, uniqueness of the stationary distribution for ergodic networks:
Video,
Notes.
(9) 2-4-26: Stationary states and algorithms: Google PageRank; setting up a framework for statistical physics: phase space in classical mechanics:
Video,
Notes.
(10) 2-6-26: Phase space, ergodicity, mixing; Fermi-Pasta-Ulam-Tsingou (FPUT) system: normal modes, canonical transformations:
Video,
Notes.
(11) 2-9-26: FPUT continued, nonlinear perturbations, integrable systems, action-angle coordinates:
Video,
Notes.
(12) 2-11-26: Physics on hypertori (donuts), KAM theorem (deformed donuts), three body problem:
Video,
Notes.
(13) 2-13-26: From integrability to chaos in classical and quantum systems, consequences of ergodicity and mixing, Feynman's ratchet and pawl:
Video,
Notes.
(14) 2-16-26: Macrostates versus microstates, time reversal symmetry:
Video,
Notes.
(15) 2-18-26: Time reversal symmetry continued, deriving the local detailed balance condition:
Video,
Notes.
(16) 2-20-26: Consequences of local detailed balance, defining temperature:
Video,
Notes.
(17) 2-23-26: Interpreting temperature, Boltzmann equilibrium:
Video,
Notes.
(18) 2-25-26: ``Gas of spins'' toy model:
Video,
Notes.
(19) 2-27-26: Gas of spins continued, returning to the trajectory picture: forward and reverse ensembles, irreversibility:
Video,
Notes.
(20) 3-2-26: Integral fluctuation theorem, defining equilibrium and non-equilibrium stationary states:
Video,
Notes.
(21) 3-4-26: Coupling system to external work:
Video,
Notes.
(22) 3-6-26: Irreversibility decomposed into physical terms, conservative versus non-conservative work, first and second laws of thermodynamics:
Video,
Notes.
(23) 3-16-26: IFT unpacked: mini-review, free energy, maximization of entropy for isolated systems:
Video,
Notes.
(24) 3-18-26: Bounds on entropy, proving the Boltzmann entropy formula in isolated systems:
Video,
Notes.
(25) 3-20-26: Minimizing free energy, interpreting entropy as information:
Video,
Notes.
(26) 3-23-26: Shannon source coding theorem:
Video,
Notes.
Due to technical issue, the video is of an older recording. Current class content starts at 13:55.
(27) 3-25-26: Shannon source coding theorem continued, changing environments, cyclically driven systems, Kelvin-Planck statement of the second law:
Video,
Notes.
(28) 3-27-26: Jarzynski equality:
Video,
Notes.
(29) 3-30-26: Thermodynamic laws for multiple temperatures, Carnot efficiency bound:
Video,
Notes.
(30) 4-1-26: Uselessness of maximal efficiency, thermodynamic bounds on heat pumps / refrigerators, the many ``children'' of the IFT, linear thermodynamics:
Video,
Notes.
(31) 4-3-26: Thermodynamic forces and fluxes, Onsager coefficients, electrical circuit examples:
Video,
Notes.
(32) 4-6-26: Onsager coefficient matrix and reciprocity:
Video,
Notes.
(33) 4-8-26: Proving Onsager reciprocity, fluctuation-dissipation theorem, Brownian motion:
Video,
Notes.
(34) 4-10-26: Brownian motion continued, Johnson-Nyquist noise, multiple driving forces:
Video,
Notes.
(35) 4-13-26: Efficiency at maximum power, introduction to quantum statistical mechanics:
Video,
Notes.
(36) 4-15-26: Density operators, decoherence:
Video,
Notes.
(37) 4-17-26: Decompositions, defining quantum entropy, time evolution of closed quantum systems and the non-increase of von Neumann entropy:
Video,
Notes.
(38) 4-20-26: Open quantum systems, measurements, the Choi-Kraus representation theorem:
Video,
Notes.