The hall effect in accretion flows

C. R. Braiding; M. Wardle

doi:10.1111/j.1365-2966.2012.22001

The hall effect in accretion flows

C. R. Braiding^*, M. Wardle

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

36 Citations (Scopus)

Abstract

Magnetic diffusion in accretion flows changes the structure and angular momentum of the accreting material. We present two power-law similarity solutions for flattened accretion flows in the presence of magnetic diffusion: a secularly evolving Keplerian disc and a magnetically diluted free fall on to the central object. The influence of Hall diffusion on the solutions is evident even when this is small compared to ambipolar and Ohmic diffusion, as the surface density, accretion rate and angular momentum in the flow all depend upon the product nH(B · ω), and the inclusion of Hall diffusion may be the solution to the magnetic braking catastrophe of star formation simulations.

Original language	English
Pages (from-to)	3188-3195
Number of pages	8
Journal	Monthly Notices of the Royal Astronomical Society
Volume	427
Issue number	4
DOIs	https://doi.org/10.1111/j.1365-2966.2012.22001
Publication status	Published - 21 Dec 2012

Keywords

Accretion
Accretion discs-diffusion-magnetic fields -MHD- stars
Formation

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10.1111/j.1365-2966.2012.22001

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T1 - The hall effect in accretion flows

AU - Braiding, C. R.

AU - Wardle, M.

PY - 2012/12/21

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N2 - Magnetic diffusion in accretion flows changes the structure and angular momentum of the accreting material. We present two power-law similarity solutions for flattened accretion flows in the presence of magnetic diffusion: a secularly evolving Keplerian disc and a magnetically diluted free fall on to the central object. The influence of Hall diffusion on the solutions is evident even when this is small compared to ambipolar and Ohmic diffusion, as the surface density, accretion rate and angular momentum in the flow all depend upon the product nH(B · ω), and the inclusion of Hall diffusion may be the solution to the magnetic braking catastrophe of star formation simulations.

AB - Magnetic diffusion in accretion flows changes the structure and angular momentum of the accreting material. We present two power-law similarity solutions for flattened accretion flows in the presence of magnetic diffusion: a secularly evolving Keplerian disc and a magnetically diluted free fall on to the central object. The influence of Hall diffusion on the solutions is evident even when this is small compared to ambipolar and Ohmic diffusion, as the surface density, accretion rate and angular momentum in the flow all depend upon the product nH(B · ω), and the inclusion of Hall diffusion may be the solution to the magnetic braking catastrophe of star formation simulations.

KW - Accretion

KW - Accretion discs-diffusion-magnetic fields -MHD- stars

KW - Formation

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JO - Monthly Notices of the Royal Astronomical Society

JF - Monthly Notices of the Royal Astronomical Society

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The hall effect in accretion flows

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Keywords

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