Warp Diffusion In Thin Accretion Discs

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Scientific paper

Most astrophysically relevant accretion discs might be twisted or warped. The reaction of the disc to a warp disturbance can have major effects on the evolution of the system. For example, the process of alignment between the spin of a black hole and the angular momentum of the disc due to the so-called Bardeen-Petterson effect strongly depends on the effectiveness of warp propagation, with major consequenses on the spin history of the black hole. Here I discuss these issues in the light of a series of high resolution numerical simulations that I have performed to investigate the complex hydrodynamics which is responsible for these phenomena. Detailed hydrodynamical models predict (perhaps counter-intuitively) that as the disc viscosity decreases, the rate of warp propagation increases. Here we demonstrate numerically that this is
indeed the case, as long as viscosity is high enough. For low viscosities, on the other hand, the analytic theory breaks down and the rate of warp propagation becomes progressively much slower than
expected.

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