Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lattice Boltzmann model for resistive relativistic magnetohydrodynamics   In this paper, we develop a lattice Boltzmann model for relativistic
magnetohydrodynamics (MHD). Even though the model is derived for resistive MHD,
it is shown that it is numerically robust even in the high conductivity (ideal
MHD) limit. In order to validate the numerical method, test simulations are
carried out for both ideal and resistive limits, namely the propagation of
Alfv\'en waves in the ideal MHD and the evolution of current sheets in the
resistive regime, where very good agreement is observed comparing to the
analytical results. Additionally, two-dimensional magnetic reconnection driven
by Kelvin-Helmholtz instability is studied and the effects of different
parameters on the reconnection rate are investigated. It is shown that the
density ratio has negligible effect on the magnetic reconnection rate, while an
increase in shear velocity decreases the reconnection rate. Additionally, it is
found that the reconnection rate is proportional to $\sigma^{-\frac{1}{2}}$,
$\sigma$ being the conductivity, which is in agreement with the scaling law of
the Sweet-Parker model. Finally, the numerical model is used to study the
magnetic reconnection in a stellar flare. Three-dimensional simulation suggests
that the reconnection between the background and flux rope magnetic lines in a
stellar flare can take place as a result of a shear velocity in the
photosphere.

35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio