Abstract

It is generally accepted that the non-linear, dynamical evolution of magnetic fields in the interior of neutron stars plays a key role in the explanation of the observed phenomenology. Understanding the transfer of energy between toroidal and poloidal components, or between different scales, is of particular relevance. In this letter, we present the first 3D simulations of the Hall instability in a neutron star crust, confirming its existence for typical magnetar conditions. We confront our results to estimates obtained by a linear perturbation analysis, which discards any interpretation as numerical instabilities and confirms its physical origin. Interestingly, the Hall instability creates locally strong magnetic structures that occasionally can make the crust yield to the magnetic stresses and generates coronal loops, similarly as solar coronal loops find their way out through the photosphere. This supports the viability of the mechanism, which has been proposed to explain magnetar outbursts.

Highlights

  • It is generally accepted that the nonlinear, dynamical evolution of magnetic fields in the interior of neutron stars plays a key role in the explanation of the observed phenomenology

  • The details about how exactly such small-scale magnetic structures are created are under debate, but they must have their origin in the dynamics of the interior, in particular of the neutron star crust

  • Ref. [16] confirmed the occurrence of the instability showing that, because the unstable modes have a relatively long wavelength, it is suppressed on a cubic domain with periodic boundary conditions, but it arises on a thin slab where one of the spatial lengths is longer than others

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Summary

Introduction

It is generally accepted that the nonlinear, dynamical evolution of magnetic fields in the interior of neutron stars plays a key role in the explanation of the observed phenomenology. The evolution of the magnetic field in a neutron star (NS) crust is governed by the combined action of Ohmic dissipation and the Hall drift [7,8].

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