The dynamics of charged particles is studied in stationary magnetic fields that are obtained as solutions of nonlinear coupled equations varying in one dimension. The chosen equation can give both… Click to show full abstract
The dynamics of charged particles is studied in stationary magnetic fields that are obtained as solutions of nonlinear coupled equations varying in one dimension. The chosen equation can give both regular and chaotic solutions depending on the chosen coupling parameter. For chaotic numerical solution of the equation, rms values of fluctuation are increased by changing the coupling parameter, whereas for regular analytical solution, rms values of fluctuation are increased by changing the amplitude of fluctuation. Energy gain of an ensemble of particles is studied in both cases in the presence of a uniform electric field. Ensemble averaged energy gain is shown to decrease with the increase in rms values of fluctuation in the first case and increase with the increase in rms values of fluctuation in the second case.
               
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