(1) 1-13-25: Course overview; introduction to nonequilibrium thermodynamics:
Video,
Slides.
(2) 1-15-25: 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) 1-17-25: Trajectories and ensembles, the basics of probability theory, Bayes' rule:
Video,
Notes.
(4) 1-24-25: Understanding Bayes' rule: posterior, prior, and likelihood; fitting models to data:
Video,
Notes.
(5) 1-27-25: Application of Bayesian model fitting: dense neural networks:
Video,
Notes.
(6) 1-29-25: The Markovian assumption and its consequences: calculating the probabilities of trajectories and states:
Video,
Notes.
(7) 1-31-25: Transition probability graphs, continuous vs discrete descriptions of system states and time, existence of stationary probabilities:
Video,
Notes.
(8) 2-3-25: Classifying transition graphs (ergodicity and microscopic reversibility), mean hitting times, uniqueness of the stationary distribution for ergodic networks:
Video,
Notes.
(9) 2-5-25: Stationary states and algorithms: Google PageRank; setting up a framework for statistical physics: phase space in classical mechanics:
Video,
Notes.
(10) 2-7-25: Phase space, ergodicity, mixing; Fermi-Pasta-Ulam-Tsingou (FPUT) system: normal modes, canonical transformations:
Video,
Notes.
(11) 2-10-25: FPUT continued, nonlinear perturbations, integrable systems, action-angle coordinates:
Video,
Notes.
(12) 2-12-25: Physics on hypertori (donuts), KAM theorem (deformed donuts):
Video,
Notes.
(13) 2-14-25: KAM theorem continued, three body problem, from integrability to chaos in classical and quantum systems:
Video,
Notes.
(14) 2-17-25: Consequences of ergodicity and mixing; Feynman's ratchet and pawl; macrostates versus microstates:
Video,
Notes.
(15) 2-19-25: Time reversal symmetry, deriving the local detailed balance condition:
Video,
Notes.
(16) 2-21-25: Defining temperature, Boltzmann equilibrium:
Video,
Notes.
(17) 2-24-25: ``Gas of spins'' toy model:
Video,
Notes.
(18) 2-26-25: Returning to the trajectory picture: forward and reverse ensembles, irreversibility, the integral fluctuation theorem (IFT):
Video,
Notes.
(19) 2-28-25: Exploring the IFT, defining equilibrium and non-equilibrium stationary states:
Video,
Notes.
(20) 3-3-25: Work and entropy along a trajectory:
Video,
Notes.
(21) 3-5-25: Conservative versus non-conservative work, first and second laws for an isolated system:
Video,
Notes.
(22) 3-7-25: IFT unpacked: maximization of entropy for isolated systems, minimization of free energy for systems coupled to a thermal environment:
Video,
Notes.
(23) 3-21-25: Interpreting entropy as information: the Shannon source coding theorem:
Video,
Notes.
(24) 3-24-25: Changing environments, cyclically driven systems, Kelvin-Planck statement of the second law, Jarzynski equality:
Video,
Notes.
(25) 3-26-25: Experimental validation of Jarzynski equality, multiple temperature environments:
Video,
Notes.
(26) 3-28-25: Thermodynamic laws for multiple temperatures, Carnot efficiency bound, the uselessness of maximum efficiency:
Video,
Notes.
(27) 3-31-25: Thermodynamic bounds on heat pumps / refrigerators, the many ``children'' of the IFT, linear thermodynamics:
Video,
Notes.