Berlin 2008 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 12: Nonlinear dynamics, synchronization and chaos II

DY 12.3: Talk

Tuesday, February 26, 2008, 10:30–10:45, MA 004

Deterministic escape of a dimer over an anharmonic potential barrier — •Simon Fugmann, Dirk Hennig, and Lutz Schimansky-Geier — Institut für Physik, Humboldt-Universität Berlin, Newtonstrasse 15, 12489 Berlin, Germany

We consider the deterministic escape dynamics of a dimer from a metastable state over an anharmonic potential barrier. The underlying dynamics is conservative and noiseless. The dimer consists of two particles coupled through a spring. Its motion takes place in a two-dimensional plane. Each of the constituents for itself is unable to escape, but as the outcome of the coupled dynamics the system is eventually enabled to exit the domain of attraction, it is initially put in. Related to escape, we present the critical dimer configurations and the corresponding activation energies. It is found that, there exists a range of optimal coupling for escape to take place. Interestingly, out of this range the system shows Fermi resonance, which completely inhibits the process of overcoming the barrier.