X-Point Collapse and Saturation in the Nonlinear Tearing Mode Reconnection
نویسندگان
چکیده
منابع مشابه
X-point collapse and saturation in the nonlinear tearing mode reconnection.
We study the nonlinear evolution of the resistive tearing mode in slab geometry in two dimensions. We show that, in the strongly driven regime (large delta'), a collapse of the X point occurs once the island width exceeds a certain critical value approximately 1/delta'. A current sheet is formed and the reconnection is exponential in time with a growth rate proportional eta(1/2), where eta is t...
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1. Introduction. The standard theory of the tearing-mode evolution identifies three stages. The first is the linear stage described by the Furth–Killeen–Rosenbluth (FKR) theory [1]. During this stage, the island width W grows exponentially in time until it reaches the width of the resistive dissipation layer, ℓ η ∝ η 2/5 ∆ ′1/5 , where η is the resistivity and ∆ ′ is the instability parameter [...
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The saturation of the tearing mode in a plasma column is investigated in the framework of the resistive magnetohydrodynamics approximation. In particular, a perturbative procedure is adopted to evaluate the structure of the magnetic island in three relevant physical conditions, depending on the model for the evolution of the resistivity, which may be affected by the growth of the mode. In cylin...
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Numerical studies show that the m = 1 tearing mode continues to grow exponentially well into the nonlinear regime, in contrast with the slow, "Rutherford," growth of m > 1 modes. A single helicity calculation is presented which generalizes that of Rutherford [Phys. Fluids 16, 1903 ( 1973) ] to the case when the constant-t/! approximation is invalid. As in that theory, the parallel current becom...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2005
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.95.235003