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

Kenichiro Aoki, Dimitri Kusnezov

Research output: Contribution to journalArticle

Abstract

An explicit relation between the dimensional loss [Formula presented] entropy production, and transport is established under thermal gradients, relating the microscopic and macroscopic behaviors of the system. The extensivity of [Formula presented] in systems with bulk behavior follows from the relation. The maximum Lyapunov exponents in thermal equilibrium and [Formula presented] in nonequilibrium depend on the choice of heat baths, while their product is unique and macroscopic. Finite-size corrections are also computed and all results are verified numerically.

Original languageEnglish
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume68
Issue number5
DOIs
Publication statusPublished - 2003 Jan 1

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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

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