title: Lyapunov exponents and the extensivity of dimensional loss for systems in thermal gradients.
abstract: An explicit relation between the dimensional loss (DeltaD), entropy production, and transport is established under thermal gradients, relating the microscopic and macroscopic behaviors of the system. The extensivity of DeltaD in systems with bulk behavior follows from the relation. The maximum Lyapunov exponents in thermal equilibrium and DeltaD 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.
authors.affiliation: Department of Physics, Keio University, 4-1-1 Hiyoshi, Kouhoku-ku, Yokohama 223-8521, Japan.
authors.forename: Kenichiro
authors.initials: K
authors.lastname: Aoki
authors.forename: Dimitri
authors.initials: D
authors.lastname: Kusnezov