When noise is present in a scattering system, particles tend to escape faster from the scattering region as compared with the noiseless case. For chaotic scattering, noise can render particle-decay exponential, and the decay rate typically increases with the noise intensity. We uncover a scaling law between the exponential decay rate and the noise intensity. The finding is substantiated by a heuristic argument and numerical results from both discrete-time and continuous-time models.
|Number of pages||4|
|Journal||Physical Review. E, Statistical, Nonlinear and Soft Matter Physics|
|Publication status||Published - Apr 2009|
- nonlinear dynamical systems