title: Teaching the principles of statistical dynamics.
abstract: We describe a simple framework for teaching the principles that underlie the dynamical laws of transport: Fick's law of diffusion, Fourier's law of heat flow, the Newtonian viscosity law, and the mass-action laws of chemical kinetics. In analogy with the way that the maximization of entropy over microstates leads to the Boltzmann distribution and predictions about equilibria, maximizing a quantity that E. T. Jaynes called "caliber" over all the possiblemicrotrajectoriesleads to these dynamical laws. The principle of maximum caliber also leads to dynamical distribution functions that characterize the relative probabilities of different microtrajectories. A great source of recent interest in statistical dynamics has resulted from a new generation of single-particle and single-molecule experiments that make it possible to observe dynamics one trajectory at a time.
authors.affiliation: Department of Biophysics, University of California, San Francisco, California 94143.
authors.forename: Kingshuk
authors.initials: K
authors.lastname: Ghosh
authors.forename: Ken A
authors.initials: KA
authors.lastname: Dill
authors.forename: Mandar M
authors.initials: MM
authors.lastname: Inamdar
authors.forename: Effrosyni
authors.initials: E
authors.lastname: Seitaridou
authors.forename: Rob
authors.initials: R
authors.lastname: Phillips