Over-barrier decay of the mixed state

TL;DR

This paper investigates the classical escape dynamics in 2D Hamiltonian systems with mixed phase space, revealing new features of particle trapping related to energy and initial conditions.

Contribution

It provides a combined numerical and analytical study of escape phenomena in polynomial potentials with mixed regular and chaotic regions.

Findings

Identification of local minima acting as traps for particles.

Dependence of trapped particle number on energy and initial ensemble parameters.

Characterization of escape features in systems with mixed phase space.

Abstract

Classical escape in 2D Hamiltonian systems with the mixed state has been studied numerically and analytically. The wide class of potentials with the mixed state is presented by polinomial potentials. In potentials, where the mixed state could be realized, i.e. the phase space contains regions of both regular and chaotic motion, escape problem has a number of new features. In particular, some local minima become a trap with number of particles depending on energy and other values that characterize the ensemble of particles. Choosing the form of initial ensemble one chooses the set of parameters that determine the number of trapped particles.