Abstract

In this paper we discuss the magnetic field self generation, via the so-called Biermann battery effect, and its diffusion for a blast wave (BW) expanding in a perturbed background medium. A series of simulations verify the bi-linear behavior of the Biermann battery source term both in amplitude and in wavenumber. Such a behavior is valid in the limit of no diffusivity. When diffusivity is also considered, we observe an inverse proportionality with the wavenumber: for large wavenumber perturbation magnetic diffusivity plays a key role. Writing the induction equation in a dimensionless form we discuss how, in terms of magnetic properties, the BW can be subdivided into three main regions: the remnant where the frozen-in-flow approximation holds, the thin shell where the magnetic field is in fact generated but at the same time begins to diffuse, and the shock front where the magnetic field diffuses away. A possible experimental scenario that could induce magnetic fields of about 100 gauss is finally investigated. Simulations have been performed with the code DUED.

Highlights

  • The development in high-power laser technology and in high-resolution plasma diagnostics has prompted a significant increase in the number of laser-plasma interaction experiments devoted to the investigation of astrophysical phenomena in the laboratory [1,2,3,4,5,6,7,8,9,10,11,12,13]

  • A laser-generated blast wave (BW) in a background gas could be used for instance to investigate the evolution of a Supernova remnant (SNR) propagating through interstellar medium [17,18,19]

  • In this work we present numerical investigations of the mechanisms that lead to magnetic field generation and evolution in a laser-generated cylindrical blast wave

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Summary

27 April 2015

Content from this work Abstract may be used under the In this paper we discuss the magnetic field self generation, via the so-called Biermann battery effect, terms of the Creative. Simulations verify the bi-linear behavior of the Biermann battery source term both in amplitude and. Any further distribution of this work must maintain in wavenumber. Such a behavior is valid in the limit of no diffusivity. When diffusivity is attribution to the author(s) and the title of considered, we observe an inverse proportionality with the wavenumber: for large wavenumber the work, journal citation perturbation magnetic diffusivity plays a key role.

Introduction
The induction equation and the plasma model
Competition between Biermann battery and magnetic field diffusion
Magnetic field diffusivity importance
Random density perturbations
Conclusions
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