On the magnetorotational instability and elastic buckling
نویسندگان
چکیده
منابع مشابه
On the magnetorotational instability and elastic buckling.
This paper demonstrates an equivalence between rotating magnetized shear flows and a stressed elastic beam. This results from finding the same form of dynamical equations after an asymptotic reduction of the axis-symmetric magnetorotational instability (MRI) under the assumption of almost-critical driving. The analysis considers the MRI dynamics in a non-dissipative near-equilibrium regime. Bot...
متن کاملElastic response, buckling, and instability of microtubules under radial indentation.
We tested the mechanical properties of single microtubules by lateral indentation with the tip of an atomic force microscope. Indentations up to approximately 3.6 nm, i.e., 15% of the microtubule diameter, resulted in an approximately linear elastic response, and indentations were reversible without hysteresis. At an indentation force of around 0.3 nN we observed an instability corresponding to...
متن کاملMagnetorotational instability: recent developments.
The magnetorotational instability is believed to play an important role in accretion disc physics in extracting angular momentum from the disc and allowing accretion to take place. For this reason the instability has been the subject of numerous numerical simulations and, increasingly, laboratory experiments. In this review, recent developments in both areas are surveyed, and a new theoretical ...
متن کاملExistence of the Magnetorotational Instability
By posing and solving a global axisymmetric eigenvalue problem on an infinite domain with modes vanishing at zero and infinity for a differentially rotatingMHD plasma, the conditions for the occurrence of a purely growing lowfrequency mode known as the magnetorotational instability (MRI) are mapped. It is shown that the MRI criterion drawn from the ‘‘local dispersion relation’’ is at best inade...
متن کاملSaturation of the magnetorotational instability
An analytical theory is developed that describes asymptotically exactly the process of nonlinear saturation of the magnetorotational instability in a model problem employing a linear shear flow in a uniformly rotating channel. The theory shows that the instability saturates by modifying the shear responsible for it. The saturation process requires both viscous and Ohmic dissipation. The theory ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2015
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2014.0699