Over-barrier decay of the mixed state

Details Over-barrier decay of the mixed state Over-barrier decay of the mixed state

2009-05-12

arxiv.org/abs/0905.1892v2

Nonlinear Sciences

Chaotic Dynamics

17pages, 13 figures

Scientific paper

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.

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