Excitation of Singular Modes in Thin Accretion Disks and Relevance of Non-linear Processes

Astronomy and Astrophysics – Astrophysics

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Scientific paper

The only known modes which can transport angular momentum in thin accretion disks where the magnetic energy is significant relative to the thermal energy are characterized by two sets of singularities with one involving a divergence of the plasma pressure and compressibility (B. Coppi and P.S. Coppi, Phys. Rev. Lett. 87, 5, 051101-1 (2001)) (B. Coppi and P.S. Coppi, Ann. Phys. 231, 134 (2001)). The simplest linear equations, allowing for the transition across this set, involve a relaxation operator for the local perturbed plasma pressure. Nonlinear effects are shown to be important in these transition regions, even for relatively small mode amplitudes. The marginally stable modes, which are compatible with a broad variety of processes that are significant at the relevant set of singularities, are identified. The effective diffusion coefficient for the angular momentum is derived from quasi-linear theory. Sponsored in part by the U.S. Department of Energy

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