TY - JOUR

T1 - Lyapunov exponents and the extensivity of dimensional loss for systems in thermal gradients

AU - Aoki, Kenichiro

AU - Kusnezov, Dimitri

PY - 2003/11/1

Y1 - 2003/11/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0942278441&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0942278441&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0942278441

VL - 68

SP - 562041

EP - 5620416

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 5 2

M1 - 056204

ER -