Solar energy paper index
The Effect of Anomalous Resistivity on Tearing Instability
One-line summary
A solar energy research paper on The Effect of Anomalous Resistivity on Tearing Instability.
Engineering notes
Engineering notes will be added by the Power for Solar editorial team.
Chinese explanation / 中文解读
中文解读待补充：本站会优先为光伏效率、钙钛矿太阳能电池、储能技术、太阳能热利用、BIPV、并网技术等高价值论文补充中文说明。
Original abstract
We study the modification of classical tearing instability due to anomalous resistivity by incorporating a variable, second-order resistivity model into the resistive magnetohydrodynamics (MHD) framework. We evaluate the resulting multi-order perturbation modifications and boundary-layer scaling laws. By extending the perturbation analysis to second-order accuracy, we resolve localized spatial singularities ($δ$ and $δ'$) at the threshold boundary. These singularities generate unexpected matching jump conditions, demonstrating an early-stage phase-slip layer that forces a hyperbolic, time-dependent growth rate divergence prior to macroscopic saturation. Physical estimates for fusion devices and solar flares prove that this multi-order approach triggers an abrupt transition into the explosive reconnection regime, offering an exact analytical resolution to the long-standing solar and tokamak flare/disruption ``trigger problem,'' respectively. Finally, a comparative analysis using a truncated linear expansion of the threshold model regularizes the singular behavior, confirming that the explosive finite-time singularity is uniquely driven by the higher-order non-linear current feedback.
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