Lyapunov Exponents, Transport and the Extensivity of Dimensional Loss
Aoki, Kenichiro · Kusnezov, Dimitri
Original · EN
An explicit relation between the dimensional loss (ΔD), entropy production and transport is established under thermal gradients, relating the microscopic and macroscopic behaviors of the system. The extensivity of ΔD in systems with bulk behavior follows from the relation. The maximum Lyapunov exponents in thermal equilibrium and ΔD in non-equilibrium 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.
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