dc.creator | Davis, Sergio | |
dc.creator | González, Diego | |
dc.date.accessioned | 2015-12-16T02:47:49Z | |
dc.date.available | 2015-12-16T02:47:49Z | |
dc.date.created | 2015-12-16T02:47:49Z | |
dc.date.issued | 2015 | |
dc.identifier | Journal of Physics A-Mathematical and Theoretical Volumen: 48 Número: 42 oct 2015 | |
dc.identifier | 1751-8113 | |
dc.identifier | DOI: 10.1088/1751-8113/48/42/425003 | |
dc.identifier | https://repositorio.uchile.cl/handle/2250/135762 | |
dc.description.abstract | Maximization of the path information entropy is a clear prescription for constructing models in
non-equilibrium statistical mechanics. Here it is shown that, following this prescription under the
assumption of arbitrary instantaneous constraints on position and velocity, a Lagrangian emerges
which determines the most probable trajectory. Deviations from the probability maximum can be
consistently described as slices in time by a Hamiltonian, according to a nonlinear Langevin equation
and its associated Fokker-Planck equation. The connections unveiled between the maximization of
path entropy and the Langevin/Fokker-Planck equations imply that missing information about the
phase space coordinate never decreases in time, a purely information-theoretical version of the
Second Law of Thermodynamics. All of these results are independent of any physical assumptions,
and thus valid for any generalized coordinate as a function of time, or any other parameter. This
reinforces the view that the Second Law is a fundamental property of plausible inference. | |
dc.language | en | |
dc.publisher | IOP | |
dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
dc.rights | Atribución-NoComercial-SinDerivadas 3.0 Chile | |
dc.title | Hamiltonian formalism and path entropy maximization | |
dc.type | Artículo de revista | |