Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2004-10-09
Nonlinear Sciences
Chaotic Dynamics
10 figures
Scientific paper
It is shown that a periodic perturbation of the quantum pendulum (similarly to the classical one) in the neighbourhood of the separatrix can bring about irreversible phenomena. As a result of recurrent passages between degenerate states, the system gets self-chaotized and passes from the pure state to the mixed one. Chaotization involves the states, the branch points of whose levels participate in a slow "drift" of the system along the Mathieu characteristics this "drift" being caused by a slowly changing variable field. Recurrent relations are obtained for populations of levels participating in the irreversible evolution process. It is shown that the entropy of the system first grows and, after reaching the equilibrium state, acquires a constant value.
Chotorlishvili Levan
Nickoladze K.
Ugulava Archil
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