Naslov
The pulled Frenkel-Kontorova chain

Autori
Slijepčević, Siniša

Izvornik
Nonlinearity (0951-7715) 11 (1998), 4; 923-948

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Twist maps. Model

Sažetak
We model the pulling of an elastic chain in a C-2 potential as a slow-fast system using dissipative dynamics, and prove that the dynamics is monotone. If the potential is periodic (the Frenkel-Kontorova model), we show the existence of the adiabatic (slow pulling) limit, describe completely the trajectory of the chain in the limit as a family of orbits of a twist diffeomorphism, and prove the existence of avalanches. Similarities with some self-organized criticality models art: discussed.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Napomena
Rad je kao poster prezentiran na skupu Conference on Patters, Nonlinear Dynamics and Stohastic Behaviour in Spatially Extended Systems, održanom u listopadu 1998., Budimpešta, Madžarska ; objavljen u Knjizi sažetaka.

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