Pathways of activated escape in periodically modulated systems

Details Pathways of activated escape in periodically modulated systems Pathways of activated escape in periodically modulated systems

2006-08-16

arxiv.org/abs/cond-mat/0608366v1

Phys. Rev. E 73, 061109 (2006)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.73.061109

We investigate dynamics of activated escape in periodically modulated systems. The trajectories followed in escape form diffusion broadened tubes, which are periodically repeated in time. We show that these tubes can be directly observed and find their shape. Quantitatively, the tubes are characterized by the distribution of trajectories that, after escape, pass through a given point in phase space for a given modulation phase. This distribution may display several peaks separated by the modulation period. Analytical results agree with the results of simulations of a model Brownian particle in a modulated potential.

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