Issue |
A&A
Volume 473, Number 1, October I 2007
|
|
---|---|---|
Page(s) | 31 - 40 | |
Section | Astrophysical processes | |
DOI | https://doi.org/10.1051/0004-6361:20066512 | |
Published online | 23 July 2007 |
High resolution simulations of unstable modes in a collisionless disc
1
Department of Theoretical Physics, Volgograd State University, Volgograd 400068, Russia
2
Isaac Newton Institute of Chile, Moscow Branch, Russia
3
Astronomisches Rechen-Institut at ZAH, University of Heidelberg, Mönchhofstraße 12-14, 69120 Heidelberg, Germany e-mail: just@ari.uni-heidelberg.de
4
Institute of Physics, Stachki 194, Rostov-on-Don 344090, Russia
5
Isaac Newton Institute of Chile, Rostov-on-Don Branch
6
Department of Mechanical Engineering, Sharif University of Technology, Azadi Ave., Tehran, Iran
Received:
5
October
2006
Accepted:
3
July
2007
We present N-body simulations of unstable spiral modes in a dynamically
cool collisionless disc. We show that spiral modes grow in a thin
collisionless disk in accordance with the analytical perturbation theory.
We use the particle-mesh code superbox with nested grids to follow
the evolution of unstable spirals that emerge from an unstable equilibrium
state. We use a large number of particles (up to ) and
high-resolution spatial grids in our simulations (1283 cells).
These allow us to trace the dynamics of the unstable spiral modes until
their wave amplitudes are saturated due to nonlinear effects.
In general, the results of our simulations are in agreement with the analytical
predictions. The growth rate and the pattern speed of the most unstable
bar-mode measured in N-body simulations agree with the linear analysis.
However the parameters of secondary unstable modes are in
lesser agreement because of the still limited resolution of our
simulations.
Key words: stellar dynamics / galaxies: kinematics and dynamics / instabilities / galaxies: structure
© ESO, 2007
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