AI 中文总结
该研究通过SpinPIC2D验证了斯特恩-格尔拉赫力驱动的自旋输运在反冲等离子体重联中的相对论缩放与磁化-电流反馈，并探讨了非线性区域的响应特性。
AI 中文摘要
我们研究了斯特恩-格尔拉赫（SG）力驱动的自旋输运在反冲等离子体重联中的相对论缩放和电磁反馈，使用SpinPIC2D模型。该模型推进了相对论正确动量和磁BMT自旋预cession，应用SG力，沉积自旋磁化，并在安培定律中包含J_M=∇×M。在固定γ_tr=2的弱种子扫描中，归一化的全球磁通量增长在Ξ≤0.1时仍接近经典控制运行，当Ξ=0.4时为0.016，当Ξ=0.7和1时分别达到约0.12和0.25，范围在3≤t/τ_sp≤7内。由于2.5维几何中∂/∂y=0，直接y方向的SG项消失，增强是间接的：层正SG排序重构了分支解析电子和正电子速度分布，导致压力矩的变化并生成分层磁化电流。在固定χ_sim家族中，增加γ_tr减少Ξ并抑制分支排序，而匹配控制的磁通量增长增强在γ_tr=2,3,5时仍保持正。重新调整χ_sim以保持Ξ=1并不保持非线性相似性：耦合和J_{M,y}随着γ_tr增加而增加，并且γ_tr=5的情况发展出多X线状态。因此，Ξ决定了SG修改重联的起始，而非线性响应也取决于绝对自旋耦合和磁化电流幅度。
英文摘要
We investigate the relativistic scaling and electromagnetic feedback of Stern--Gerlach (SG) force driven spin transport in pair-plasma reconnection with SpinPIC2D. The model advances relativistic proper momentum and magnetic BMT spin precession, applies the SG force, deposits spin magnetization, and includes $\mathbf J_M=\nabla\times\mathbf M$ in Ampere's law. In a weak-seed scan at fixed $γ_{\rm tr}=2$, the normalized global magnetic flux-growth remains near the classical control-run for $Ξ\le0.1$, is $0.016$ at $Ξ=0.4$, and reaches approximately $0.12$ and $0.25$ at $Ξ=0.7$ and 1, respectively over $3\le t/τ_{\rm sp}\le7$. Because $\partial/\partial y=0$ in the 2.5-D geometry, the direct $y$-directed SG term vanishes and the enhancement is indirect: sheet-normal SG sorting restructures branch-resolved electron and positron velocity distributions which results in changes in pressure moments and generates a layered magnetization current. Along a fixed-$χ_{\rm sim}$ family, increasing $γ_{\rm tr}$ reduces $Ξ$ and suppresses branch sorting, whereas the matched-control flux-growth enhancement remains positive for $γ_{\rm tr}=2,3,5$. Retuning $χ_{\rm sim}$ to hold $Ξ=1$ does not preserve nonlinear similarity: both the coupling and $J_{M,y}$ increase with $γ_{\rm tr}$, and the $γ_{\rm tr}=5$ case develops a multi-X-line state. Thus $Ξ$ orders the onset of SG-modified reconnection, while the nonlinear response also depends on the absolute spin coupling and magnetization-current amplitude.
CommentsThis preprint contains 8 figures and 13 pages in the main text and 19 pages of supplementary material detailing the SpinPIC2D-code and its validation. This paper has been submitted to Physical Review E and is a companion paper to a submitted letter which is posted here https://arxiv.org/abs/2605.16243
