(1) 1-17-24: Course overview; introduction to nonequilibrium thermodynamics:
Video,
Slides.
(2) 1-19-24: 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) 1-22-24: Trajectories and ensembles, the basics of probability theory, Bayes' rule:
Video,
Notes.
(4) 1-24-24: Understanding Bayes' rule: posterior, prior, and likelihood; fitting models to data:
Video,
Notes.
(5) 1-26-24: Application of Bayesian model fitting: dense neural networks:
Video,
Notes.
(6) 1-29-24: The Markovian assumption and its consequences: calculating the probabilities of trajectories and states:
Video,
Notes.
(7) 1-31-24: Transition probability graphs, continuous vs discrete descriptions of system states and time, stationary probabilities:
Video,
Notes.
(8) 2-2-24: Existence of stationary distributions, classifying transition graphs (ergodicity and microscopic reversibility), mean hitting times:
Video,
Notes.
(9) 2-5-24: Calculating mean hitting times, uniqueness of stationary distribution for ergodic networks, Google PageRank:
Video,
Notes.
(10) 2-7-24: Setting up a physical framework for statistical mechanics: phase space, ergodicity, mixing:
Video,
Notes.
(11) 2-9-24: Fermi-Pasta-Ulam-Tsingou system: normal modes, canonical transformations, nonlinear perturbations:
Video,
Notes.
(12) 2-12-24: Integrable systems, action-angle coordinates, physics on hypertori, KAM theorem, "deformed donuts":
Video,
Notes.
(13) 2-14-24: From integrability to chaos in classical and quantum systems; the consequences of ergodicity and mixing; Feynman's ratchet and pawl:
Video,
Notes.
(14) 2-16-24: Macrostates versus microstates, time reversal symmetry, deriving the local detailed balance condition:
Video,
Notes.
(15) 2-19-24: Counting microstates, defining temperature:
Video,
Notes.
(16) 2-21-24: Boltzmann equilibrium, "gas" of spins toy model:
Video,
Notes.
(17) 2-23-24: Spin toy model continued: positive and negative absolute temperatures:
Video,
Notes.
(18) 2-26-24: Returning to the trajectory picture: forward and reverse ensembles, irreversibility, the integral fluctuation theorem (IFT):
Video,
Notes.
(19) 2-28-24: Conequences of the IFT, system coupling to external work, deriving the second law of thermodynamics:
Video,
Notes.
(20) 3-1-24: Conservative versus non-conservative work, first and second laws for an isolated system:
Video,
Notes.
Note: because of a problem with the recording, the video for this lecture is an older version covering the same material.
(21) 3-4-24: IFT unpacked: maximization of entropy for isolated systems, minimization of free energy for systems coupled to a thermal environment:
Video,
Notes.
(22) 3-6-24: Interpreting entropy as information: the Shannon source coding theorem:
Video,
Notes.
(23) 3-8-24: Source coding theorem continued, equilibrium vs. nonequilibrium stationary states:
Video,
Notes.
(24) 3-18-24: Changing environments, cyclically driven systems and the Kelvin-Planck statement of the second law:
Video,
Notes.
Note: because of an audio problem with the recording, the video for this lecture is an older version covering the same material.
(25) 3-20-24: Jarzynski equality:
Video,
Notes.
(26) 3-22-24: Multiple temperature environments, Carnot efficiency bound:
Video,
Notes.
(27) 3-27-24: Maximal efficiency is useless, thermodynamic bounds on heat pumps / refrigerators, the many ``children'' of the IFT:
Video,
Notes.
(28) 3-29-24: Linear thermodynamics, forces and fluxes, Onsager coefficients, electrical circuit examples:
Video,
Notes.
(29) 4-1-24: General properties of the Onsager coefficient matrix, Onsager reciprocity, fluctuation-dissipation theorem:
Video,
Notes.
(30) 4-3-24: Fluctuation-dissipation theorem examples: diffusion of a Brownian particle, Johnson-Nyquist noise, Seebeck and Peltier effects:
Video,
Notes.
(31) 4-5-24: Properties of equilibrium, the zoo of thermodynamic potentials and minimization principles:
Video,
Notes.
(32) 4-10-24: Equilibrium phase transitions and renormalization, part I: the Ising model, calculating physical observables from the partition function:
Video,
Notes.
(33) 4-12-24: Equilibrium phase transitions and renormalization, part II: first and second order phase transitions, critical exponents, universality:
Video,
Notes.
(34) 4-15-24: Equilibrium phase transitions and renormalization, part III: RG as coarse-graining, exact RG on fractal lattices:
Video,
Notes.