Lyapunov Exponents, Transport and the Extensivity of Dimensional Loss

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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.
5 pp, 3 figs

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Chaotic Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/80210

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0204015
 http://arxiv.org/abs/nlin/0204015

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arXiv