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

Kenichiro Aoki, Dimitri Kusnezov

Research output: Contribution to journalArticle


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
Issue number5
Publication statusPublished - 2003 Jan 1


ASJC Scopus subject areas

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

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