Lyapunov Exponents, Transport and the Extensivity of Dimensional Loss
| dc.creator | Aoki, Kenichiro | |
| dc.creator | Kusnezov, Dimitri | |
| dc.date | 2002-04-10 | |
| dc.date.accessioned | 2026-07-07T05:34:02Z | |
| dc.date.available | 2026-07-07T05:34:02Z | |
| dc.description | 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. | |
| dc.description | 5 pp, 3 figs | |
| dc.identifier | https://arxiv.org/abs/nlin/0204015 | |
| dc.identifier | http://arxiv.org/abs/nlin/0204015 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80210 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Lyapunov Exponents, Transport and the Extensivity of Dimensional Loss | |
| dc.type | text |