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

Kenichiro Aoki, Dimitri Kusnezov

研究成果: Article

抜粋

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.

元の言語English
ジャーナルPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
68
発行部数5
DOI
出版物ステータスPublished - 2003 1 1

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ASJC Scopus subject areas

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

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