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Nonlinear energy dissipation in a cellular automaton magnetotail field model
Author(s) -
Takalo J.,
Timonen J.,
Klimas A.,
Valdivia J.,
Vassiliadis D.
Publication year - 1999
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/1999gl900429
Subject(s) - dissipation , physics , cellular automaton , nonlinear system , magnetohydrodynamics , magnetohydrodynamic drive , magnetic field , isotropy , current sheet , statistical physics , dissipative system , classical mechanics , field (mathematics) , power law , mechanics , computer science , mathematics , thermodynamics , quantum mechanics , algorithm , pure mathematics , statistics
A magnetic field model of the magnetotail current sheet based on cellular automaton (CA) is presented. The present isotropic model is a continuously driven, two‐dimensional running CA. The model has a physical interpretation in terms of magnetohydrodynamic (MHD) equations, and features self‐organized critical (SOC) behavior with power‐law scalings both in durations and sizes of instabilities (avalanches). The model has nonlinear energy dissipation, and shows avalanches with and without an external trigger. Thus the model reproduces some of the statistical features recently observed in the magnetotail.