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

Kenichiro Aoki; Dimitri Kusnezov

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

Kenichiro Aoki, Dimitri Kusnezov

経済学部

研究成果: Article › 査読

10 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
巻	68
号	5 2
出版ステータス	Published - 2003 11 1

ASJC Scopus subject areas

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

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引用スタイル

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