Stern--Gerlach Spin Sorting in Relativistic Magnetic Reconnection

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Auteur principal: Nykyri, K.
Format: Preprint
Publié: 2026
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author Nykyri, K.
author_facet Nykyri, K.
contents We introduce a Stern--Gerlach (SG) spin-kinetic control parameter for magnetic reconnection. The fully projected branch parameter, $Ξ_0=<Z>/r_L$ compares the SG cross-sheet displacement accumulated during a diffusion-region transit with the relativistic Larmor radius. For an ensemble or partially participating population the relevant effective parameter is $Ξ_{\rm Eff}=P_{eff}Ξ_0$, where $P_{eff}$ represents the surviving branch weight or effective spin/moment projection. Evaluating $Ξ_{\rm Eff}$ across representative space and astrophysical environments reveals a robust hierarchy: SG transport is negligible in the magnetotail, solar corona, active galactic nuclei (AGN)/blazar jets, and pulsar-wind nebulae, but becomes transitional to strong in magnetar current sheets and extreme near magnetar surfaces. We further show, using electron--positron particle-in-cell simulations, that the SG force sorts particles by magnetic-moment projection into opposite sides of a Harris current sheet without measurably changing the global reconnection rate in the tested regime. This identifies magnetars as the clearest natural target for strong-field spin-kinetic reconnection ($Ξ_{\rm eff}\gg 1$) near the surface; transitional in the outer magnetosphere), while SG transport is safely negligible ($Ξ_{\rm eff}\ll 1$) in all heliophysical and jet environments considered, and provides a falsifiable framework for assessing where SG physics is relevant.
format Preprint
id arxiv_https___arxiv_org_abs_2605_16243
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Stern--Gerlach Spin Sorting in Relativistic Magnetic Reconnection
Nykyri, K.
Plasma Physics
High Energy Astrophysical Phenomena
We introduce a Stern--Gerlach (SG) spin-kinetic control parameter for magnetic reconnection. The fully projected branch parameter, $Ξ_0=<Z>/r_L$ compares the SG cross-sheet displacement accumulated during a diffusion-region transit with the relativistic Larmor radius. For an ensemble or partially participating population the relevant effective parameter is $Ξ_{\rm Eff}=P_{eff}Ξ_0$, where $P_{eff}$ represents the surviving branch weight or effective spin/moment projection. Evaluating $Ξ_{\rm Eff}$ across representative space and astrophysical environments reveals a robust hierarchy: SG transport is negligible in the magnetotail, solar corona, active galactic nuclei (AGN)/blazar jets, and pulsar-wind nebulae, but becomes transitional to strong in magnetar current sheets and extreme near magnetar surfaces. We further show, using electron--positron particle-in-cell simulations, that the SG force sorts particles by magnetic-moment projection into opposite sides of a Harris current sheet without measurably changing the global reconnection rate in the tested regime. This identifies magnetars as the clearest natural target for strong-field spin-kinetic reconnection ($Ξ_{\rm eff}\gg 1$) near the surface; transitional in the outer magnetosphere), while SG transport is safely negligible ($Ξ_{\rm eff}\ll 1$) in all heliophysical and jet environments considered, and provides a falsifiable framework for assessing where SG physics is relevant.
title Stern--Gerlach Spin Sorting in Relativistic Magnetic Reconnection
topic Plasma Physics
High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2605.16243