TU Berlin

RG Nonlinear dynamics and controldo_21jun07

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Seminar: Self-Organization in Complex Nonlinear Systems

Location: PN 731

Time: Thursday, 21.06.2007, 16:15

Cooperative escape dynamics of an oscillator chain under
microcanonical conditions

Simon Fugmann (HU Berlin)

We consider the self-organized escape of a chain of coupled oscillators from a metastable state over an energetic barrier. The underlying dynamics is conservative and deterministic. Supply of sufficient total energy or application of external forces brings the chain into the nonlinear regime from which an initially almost uniform lattice state becomes unstable and nonlinear redistribution leads to strong localization of energy. A spontaneously emerging critical localized mode grows to the unstable transition state and the chain, passing through the latter, performs a collective escape process over the barrier. It turns out that this nonlinear barrier crossing in a microcanonical situation is more efficient compared with a thermally activated chain for small ratios between the total energy of the chain and the barrier energy.

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