Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermal equilibrium of non-neutral plasma in dipole magnetic field   Self-organization of a long-lived structure is one of the remarkable
characteristics of macroscopic systems governed by long-range interactions. In
a homogeneous magnetic field, a non-neutral plasma creates a "thermal
equilibrium" which is a Boltzmann distribution on a rigidly rotating frame.
Here, we study how a non-neutral plasma self-organizes in inhomogeneous
magnetic field; as a typical system we consider a dipole magnetic field. In
this generalized setting, the plasma exhibits its fundamental mechanism that
determines the relaxed state. The scale hierarchy of adiabatic invariants is
the determinant; the Boltzmann distribution under the topological constraint by
the robust adiabatic invariants (hence, the homogeneous distribution with
respect to the fragile invariant) is the relevant relaxed state, which turns
out to be a rigidly rotating clump of particles (just same as in a homogeneous
magnetic field), while the density is no longer homogeneous.

21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc