Escape Rate and Power-law Exponent for the Chaotic Scattering in a Current Sheet Magnetic Field

Physics

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2744 Magnetotail, 3220 Nonlinear Dynamics, 3240 Chaos, 7839 Nonlinear Phenomena, 7859 Transport Processes

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. Away from the resonant energies, the number of particles remaining in the scattering region decreases as a power of time with a characteristic exponent. We will discuss the mechanisms behind both the exponential and the power-law decrease in the number of particles remaining in the scattering region.

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