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Note on the Kaplan-Yorke Dimension and Linear Transport Coefficients

Evans, Denis; Cohen, E; Searles, Debra; Bonetto, F

Description

A number of new relations between the Kaplan-Yorke dimension, phase space contraction, transport coefficients and the maximal Lyapunov exponents are given for dissipative thermostatted systems, subject to a small but non-zero external field in a nonequilibrium stationary state. A condition for the extensivity of phase space dimension reduction is given. A new expression for the linear transport coefficients in terms of the Kaplan Yorke dimension is derived. Alternatively, the Kaplan Yorke...[Show more]

dc.contributor.authorEvans, Denis
dc.contributor.authorCohen, E
dc.contributor.authorSearles, Debra
dc.contributor.authorBonetto, F
dc.date.accessioned2015-12-13T23:18:34Z
dc.identifier.issn0022-4715
dc.identifier.urihttp://hdl.handle.net/1885/90243
dc.description.abstractA number of new relations between the Kaplan-Yorke dimension, phase space contraction, transport coefficients and the maximal Lyapunov exponents are given for dissipative thermostatted systems, subject to a small but non-zero external field in a nonequilibrium stationary state. A condition for the extensivity of phase space dimension reduction is given. A new expression for the linear transport coefficients in terms of the Kaplan Yorke dimension is derived. Alternatively, the Kaplan Yorke dimension for a dissipative macroscopic system. The agreement with computer simulations for an atomic fluid at small shear rates is very good.
dc.publisherKluwer Academic Publishers
dc.sourceJournal of Statistical Physics
dc.subjectKeywords: Dynamical systems; KY-dimension; Lyapunov exponent; Transport coefficient
dc.titleNote on the Kaplan-Yorke Dimension and Linear Transport Coefficients
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume101
dc.date.issued2000
local.identifier.absfor030602 - Chemical Thermodynamics and Energetics
local.identifier.ariespublicationMigratedxPub20553
local.type.statusPublished Version
local.contributor.affiliationEvans, Denis, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationCohen, E, Rockefeller University
local.contributor.affiliationSearles, Debra, Griffith University
local.contributor.affiliationBonetto, F, Rutgers University
local.description.embargo2037-12-31
local.bibliographicCitation.startpage17
local.bibliographicCitation.lastpage34
dc.date.updated2015-12-12T08:57:25Z
local.identifier.scopusID2-s2.0-0034288333
CollectionsANU Research Publications

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