Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability Analysis of Convection in the Intracluster Medium   We use the machinery usually employed for studying the onset of
Rayleigh--B\'enard convection in hydro- and magnetohydro-dynamic settings to
address the onset of convection induced by the magnetothermal instability and
the heat-flux-buoyancy-driven-instability in the weakly-collisional magnetized
plasma permeating the intracluster medium. Since most of the related numerical
simulations consider the plasma being bounded between two `plates' on which
boundary conditions are specified, our strategy provides a framework that could
enable a more direct connection between analytical and numerical studies. We
derive the conditions for the onset of these instabilities considering the
effects of induced magnetic tension resulting from a finite plasma beta. We
provide expressions for the Rayleigh number in terms of the wave vector
associated with a given mode, which allow us to characterize the modes that are
first to become unstable. For both the heat-flux-buoyancy-driven-instability
and the magnetothermal instability, oscillatory marginal stable states are
possible.

17
The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc