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.
|ジャーナル||Physical Review E - Statistical, Nonlinear, and Soft Matter Physics|
|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)