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Deterministic escape dynamics of two-dimensional coupled nonlinear oscillator chains.

S Fugmann¹, D Hennig, L Schimansky-Geier

¹Institut für Physik, Humboldt-Universität Berlin, Newtonstrasse 15, Berlin, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|July 23, 2008

Summary

This summary is machine-generated.

This study reveals how a chain of coupled oscillators escapes a metastable state. Localized energy buildup in chain units drives barrier crossing, leading to dissociation or collective movement over the barrier.

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Area of Science:

Physics
Nonlinear Dynamics
Statistical Mechanics

Background:

Understanding escape dynamics from metastable states is crucial in various physical systems.
Deterministic, conservative systems exhibit complex behaviors without external noise.

Purpose of the Study:

To investigate the deterministic escape dynamics of a coupled oscillator chain from a metastable state.
To analyze the role of nonlinearity and localized energy accumulation in barrier crossing.

Main Methods:

A two-dimensional chain model of coupled oscillators with Morse springs was developed.
Simulations were performed under microcanonical (constant energy) conditions.
The study analyzed the evolution of lattice states and energy distribution.

Main Results:

The system spontaneously develops instability from a homogeneous state due to potential nonlinearity.
Localized, large-amplitude breathers form and propagate towards the barrier.
A few chain units gain sufficient energy to overcome the barrier, initiating escape.

Conclusions:

Deterministic nonlinear dynamics can drive escape from metastable states.
Localized energy concentration and collective motion are key mechanisms for barrier crossing.
The escape dynamics are observed for both linear rodlike and coil-like chain configurations.