Stochastic resonance in the flow of test particles in the field of a Kerr black hole

Kazimieras Pyragas1 and Kestutis Svirskas2

Abstract

The paper discusses the possibility of a stochastic resonance phenomenon in the dynamics of test particles in the field of a Kerr black hole. Carter's first integral for the longitudinal variable possesses a double-well potential. If appropriate external periodic forcing and a stochastic force are present, a stochastic resonance may be observed for the q-variable. As a consequence, near-equatorial q-trajectories lying on two q-cones tend to mix between the two cones.

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