“…Heating of tokamak plasmas by magnetosonic waves is also a widely discussed issue. 34,35 According our scenario the self-heated accretion discs are just working tokamaks.…”
Section: Discussion Conclusion and Perspectivesmentioning
Propagation of three dimensional magnetosonic waves is considered for a homogeneous shear flow of an incompressible fluid. The analytical solutions for all magnetohydrodynamic variables are presented by confluent Heun functions. The problem is reduced to finding a solution of an effective Schrodinger equation. The amplification of slow magnetosonic waves is analyzed in great details. A simple formula for the amplification coefficient is derived. The velocity shear primarily affects the incompressible limit of slow magnetosonic waves. The amplification is very strong for slow magnetosonic waves in the long-wavelength limit. It is demonstrated that the amplification of those waves leads to amplification of turbulence. The phenomenology of Shakura-Sunyaev for the friction in accretion disks is derived in the framework of the Koknogorov turbulence. The presented findings may be the key to explaining the anomalous plasma heating responsible for the luminosity of quasars. It is suggested that wave amplification is the keystone of the self-sustained turbulence in accretion disks.
“…Heating of tokamak plasmas by magnetosonic waves is also a widely discussed issue. 34,35 According our scenario the self-heated accretion discs are just working tokamaks.…”
Section: Discussion Conclusion and Perspectivesmentioning
Propagation of three dimensional magnetosonic waves is considered for a homogeneous shear flow of an incompressible fluid. The analytical solutions for all magnetohydrodynamic variables are presented by confluent Heun functions. The problem is reduced to finding a solution of an effective Schrodinger equation. The amplification of slow magnetosonic waves is analyzed in great details. A simple formula for the amplification coefficient is derived. The velocity shear primarily affects the incompressible limit of slow magnetosonic waves. The amplification is very strong for slow magnetosonic waves in the long-wavelength limit. It is demonstrated that the amplification of those waves leads to amplification of turbulence. The phenomenology of Shakura-Sunyaev for the friction in accretion disks is derived in the framework of the Koknogorov turbulence. The presented findings may be the key to explaining the anomalous plasma heating responsible for the luminosity of quasars. It is suggested that wave amplification is the keystone of the self-sustained turbulence in accretion disks.
The effect of ion temperature on the existence of large amplitude solitary kinetic Alfvén waves and double layers are investigated in a two-fluid model using Sagdeev’s pseudopotential technique. The ion temperature, obliqueness parameter, and the ratio of cyclotron frequency to ion frequency are found to play significant roles in the formation and the shape of solitary kinetic Alfvén waves and double layers. Hump-type solitary waves and dip-type double layers are also observed. Conditions for the existence of solitary waves and double layers are discussed.
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