Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-11-28
Physics
Condensed Matter
Statistical Mechanics
11pages, 19 figures. Submitted to J. Phys. Soc. Jpn
Scientific paper
10.1143/JPSJ.76.074001
We study slow relaxation processes in the point vortex model for the two-dimensional pure electron plasma under the strong magnetic field. By numerical simulations, it is shown that, from an initial state, the system undergoes the fast relaxation to a quasi-stationary state, and then goes through the slow relaxation to reach a final state. From analysis of simulation data, we find (i) the time scale of the slow relaxation increases linearly to the number of electrons if it is measured by the unit of the bulk rotation time, (ii) during the slow relaxation process, each electron undergoes an superdiffusive motion, and (iii) the superdiffusive motion can be regarded as the Levy flight, whose step size distribution is of the power law. The time scale that each electron diffuses over the system size turns out to be much shorter than that of the slow relaxation, which suggests that the correlation among the superdiffusive trajectories is important in the slow relaxation process.
Kawahara Ryo
Nakanishi Hiizu
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