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arXiv 2601.08054physics.plasm-phastro-ph.SRcond-mat.softcond-mat.stat-mechphysics.space-ph
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磁重联作为Adler-Ohmic分支:Bohm电阻率的拓扑起源

Magnetic reconnection as an Adler-Ohmic bifurcation: The topological origin of Bohm resistivity

The European Space Agency Centre for Earth Observation(欧洲空间局地球观测中心);Department of Physics and Engineering Physics, University of Saskatchewan(萨斯喀彻温大学物理与工程物理系)

Magnus F Ivarsen

AI总结:

本文通过拓扑相变理论揭示磁重联中Bohm电阻率的起源,提出电子回旋轴同步破裂机制,表明其为磁化物质临界点的普遍拓扑属性。

摘要:

磁重联中'异常'电阻率的物理起源仍然是空间等离子体物理中最长期存在的问题之一。尽管经验性的Bohm扩散尺度(η∝T/B)被广泛用来解释快速重联速率,但缺乏从第一原理严格推导的依据。本文通过将磁化等离子体中的电子回旋轴集合建模为由Landau-Lifshitz-Gilbert方程支配的过阻尼自旋电子凝聚态,推导出该尺度。我们证明了“冻结条件”的破坏被严格识别为Adler-Ohmic分支:一种拓扑相变,其中电子回旋轴失去与平均磁场同步。与随机湍流模型不同,该框架预测了电阻率的相干、爆炸性起始,自然在Bohm极限处饱和。我们通过重整化群理论和磁层多尺度任务数据的新分析支持这一观点,揭示了与集体相滑移而非混沌散射一致的爆炸性相空间限制。这些结果表明,Bohm电阻率是重联临界点时磁化物质的普遍拓扑性质。

英文摘要:

The physical origin of 'anomalous' resistivity in magnetic reconnection remains one of the longest-standing problems in space plasma physics. While the empirical Bohm diffusion scaling ($η\propto T/B$) is widely invoked to explain fast reconnection rates, it lacks a rigorous derivation from first principles. Here, we derive this scaling by modeling the ensemble of electron gyro-axes in a magnetized plasma as an overdamped spintronic condensate governed by the Landau-Lifshitz-Gilbert equation. We demonstrate that the breakdown of the "frozen-in" condition is rigorously identified as an Adler-Ohmic bifurcation: a topological phase transition where electron gyro-axes lose synchronization with the mean magnetic field. Unlike stochastic turbulence models, this framework predicts a coherent, explosive onset of resistivity that naturally saturates at the Bohm limit. We support this thesis with renormalization group theory and a novel analysis of Magnetospheric Multiscale mission data, which reveals an explosive phase space confinement consistent with collective phase slippage rather than chaotic scattering. These results suggest that Bohm resistivity is a universal topological property of magnetized matter at the critical point of reconnection.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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