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

Kenichiro Aoki, Dimitri Kusnezov

研究成果: Article査読

11 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号056204
ページ(範囲)562041-5620416
ページ数5058376
ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
68
5 2
出版ステータスPublished - 2003 11 1

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学
  • 凝縮系物理学
  • 物理学および天文学(全般)

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