Thermo-Rotational Instability in Plasma Disks Around Compact Objects

Details Thermo-Rotational Instability in Plasma Disks Around Compact Objects Thermo-Rotational Instability in Plasma Disks Around Compact Objects

2008-02-12

arxiv.org/abs/0802.1694v1

Europhys.Lett.82:19001,2008

Astronomy and Astrophysics

Astrophysics

Scientific paper

10.1209/0295-5075/82/19001

Differentially rotating plasma disks, around compact objects, that are imbedded in a ``seed'' magnetic field are shown to develop vertically localized ballooning modes that are driven by the combined radial gradient of the rotation frequency and vertical gradients of the plasma density and temperature. When the electron mean free path is shorter than the disk height and the relevant thermal conductivity can be neglected, the vertical particle flows produced by of these modes have the effect to drive the density and temperature profiles toward the ``adiabatic condition'' where $\eta_{T}\equiv(dlnT/dz)/(dlnn/dz)=2/3$. Here $T$ is the plasma temperature and $n$ the particle density. The faster growth rates correspond to steeper temperature profiles $(\eta_{T}>2/3)$ such as those produced by an internal (e.g., viscous) heating process. In the end, ballooning modes excited for various values of $\eta_{T}$ can lead to the evolution of the disk into a different current carrying configuration such as a sequence of plasma rings.

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