S Slijepcevic 1998 Nonlinearity 11 923 doi:10.1088/0951-7715/11/4/010
S Slijepcevic
Show affiliationsRecommended by S Aubry
We model the pulling of an elastic chain in a
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 are discussed.
PACS Number: 6390
37E30 Homeomorphisms and diffeomorphisms of planes and surfaces
Issue 4 (July 1998)
Received 18 August 1997, in final form 17 February 1998
S Slijepcevic 1998 Nonlinearity 11 923
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