Chaotic Scattering in a Current Sheet Magnetic Field

Physics

Scientific paper

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2744 Magnetotail, 3220 Nonlinear Dynamics, 3240 Chaos

Scientific paper

We investigate the Hamiltonian system of charged particles in a modified Harris magnetic field model, relevant to plasma dynamics in current sheets such as the geomagnetic tail. This is a chaotic scattering system since the source plasma interacts for a finite time with the field structure. We will present numerical results for the escape rate, an exponential rate at which the particles escape from the scattering region. We show that the escape rate is well-defined only around the resonant energies and it increases as the resonant energy is increased. The average Lyapunov exponent also increases at higher resonant energies. Away from the resonant energies, the number of particles remaining in the scattering region decreases as a power of time, which is consistent with the vanishing average Lyapunov exponent we find at these energies.

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