Lyapunov exponents and the extensivity of dimensional loss for systems in thermal gradients

Kenichiro Aoki, Dimitri Kusnezov

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

An explicit relation between the dimensional loss (δ), entropy production, and transport under thermal gradients was discussed. It was found that the extensivity of δD in systems with bulk behavior followed from the relation. It was found that the maximum Lyapunov exponents in thermal equilibrium and δD in nonequilibrium depended on the choice of heat baths while their prodcuts was unique and macroscopic. The statistical errors in the numerical computation of δD were also elaborated.

Original languageEnglish
Article number056204
Pages (from-to)562041-5620416
Number of pages5058376
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume68
Issue number5 2
Publication statusPublished - 2003 Nov

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Lyapunov Exponent
baths
exponents
entropy
Gradient
heat
gradients
Heat Bath
Entropy Production
Thermal Equilibrium
Numerical Computation
Non-equilibrium

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Lyapunov exponents and the extensivity of dimensional loss for systems in thermal gradients. / Aoki, Kenichiro; Kusnezov, Dimitri.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 68, No. 5 2, 056204, 11.2003, p. 562041-5620416.

Research output: Contribution to journalArticle

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