Noisy and relativistic chaotic scattering

Abstract

The context of this problem takes place in the motion of a particle an the interaction with a massive object or a potential well which scatters it . Generally speaking, there is a region, typically called scattering region, where the interactions between the incident particle and the massive object or the potential field occur. Nonetheless, outside the scattering region the influence over the particle is negligible and its motion is essentially free. For many applications of physical interest, the nature of that interaction implies that the equations of motion of the incident particle are nonlinear and the resulting dynamics in the scattering region is chaotic. Moreover, since the system is open, the scattering region possesses exits by which the particles may enter or escape. Due to the chaotic dynamics in the scattering region, slightly close initial conditions have trajectories which spend different lapses of time inside that region and may escape taking different directions. Quite often, particles starting in the scattering region bounce back and forth for a finite time before escaping. In this sense chaotic scattering could be presented as a physical manifestation of transient chaos.