title: Communication: Maximum caliber is a general variational principle for nonequilibrium statistical mechanics.
abstract: There has been interest in finding a general variational principle for non-equilibrium statistical mechanics. We give evidence that Maximum Caliber (Max Cal) is such a principle. Max Cal, a variant of maximum entropy, predicts dynamical distribution functions by maximizing a path entropy subject to dynamical constraints, such as average fluxes. We first show that Max Cal leads to standard near-equilibrium results—including the Green-Kubo relations, Onsager's reciprocal relations of coupled flows, and Prigogine's principle of minimum entropy production—in a way that is particularly simple. We develop some generalizations of the Onsager and Prigogine results that apply arbitrarily far from equilibrium. Because Max Cal does not require any notion of "local equilibrium," or any notion of entropy dissipation, or temperature, or even any restriction to material physics, it is more general than many traditional approaches. It also applicable to flows and traffic on networks, for example.
authors.affiliation: Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794, USA.
authors.forename: Michael J
authors.initials: MJ
authors.lastname: Hazoglou
authors.affiliation: Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794, USA.
authors.forename: Valentin
authors.initials: V
authors.lastname: Walther
authors.affiliation: Department of Systems Biology, Columbia University, New York, New York 10032, USA.
authors.forename: Purushottam D
authors.initials: PD
authors.lastname: Dixit
authors.affiliation: Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794, USA.
authors.forename: Ken A
authors.initials: KA
authors.lastname: Dill
mesh_terms: D019277:Entropy; D008962:Models, Theoretical; D011336:Probability