Flute Instability Effects for Disk Accretion onto Neutron Stars with Strong Magnetic Fields

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Abstract

The flute instability at the inner edge of a thin diamagnetic accretion disk is analyzed. The
magnetic field configuration model fromAly (1980) is used. We have analyzed a modified dispersion relation
for the flute instability that takes into account the Keplerian disk rotation. We have derived the inner radius
of the accretion disk within our analysis of the flute instability.We show that the inner radius does not differ
from the Alfve´ n radius for spherical accretion to within a dimensionless coefficient, with the proportionality
coefficient depending only on the turbulence alpha parameter and the relative disk thickness (h/r).

About the authors

D. D. Lisitsin

Sternberg Astronomical Institute,
Moscow State University; Faculty of Physics,Moscow State University

Email: lisitcin.dd18@physics.msu.ru
Moscow, 119234 Russia; Moscow, 119991 Russia

N. I. Shakura

Sternberg Astronomical Institute,
Moscow State University

Author for correspondence.
Email: lisitcin.dd18@physics.msu.ru
Moscow, 119234 Russia

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