Abstract
Single particle ion-cyclotron resonance heating in a strongly inhomogeneous magnetic field with constant scale length κ−1 is studied for a uniform rf field. Because the ion-cyclotron frequency is energy dependent, ions get out of resonance, exhibiting superadiabatic response with no time-averaged energy gain. However, the anharmonicity of the motion results in resonances at multiple energy values, and for rf field amplitudes above a critical value Ec, these resonances overlap, resulting in stochastic heating. Explicit analytic expressions are given for the particle orbits and for Ec as a function of energy and rf frequency.
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