  A discrete Boltzmann model (DBM) for plasma kinetics is proposed. The
constructing of DBM mainly considers two aspects. The first is to build a
physical model with sufficient physical functions before simulation. The second
is to present schemes for extracting more valuable information from massive
data after simulation. For the first aspect, the model is equivalent to a
magnetohydrodynamic model plus a coarse-grained model for the most relevant TNE
behaviors including the entropy production rate. A number of typical benchmark
problems including Orszag-Tang (OT) vortex problem are used to verify the
physical functions of DBM. For the second aspect, the DBM use non-conserved
kinetic moments of (f-feq) to describe non-equilibrium state and behaviours of
complex system. The OT vortex problem and the Richtmyer-Meshkov instability
(RMI) are practical applications of the second aspect. For RMI with interface
inverse and re-shock process, it is found that, in the case without magnetic
field, the non-organized momentum flux shows the most pronounced effects near
shock front, while the non-organized energy flux shows the most pronounced
behaviors near perturbed interface. The influence of magnetic field on TNE
effects shows stages: before the interface inverse, the TNE strength is
enhanced by reducing the interface inverse speed; while after the interface
inverse, the TNE strength is significantly reduced. Both the global average TNE
strength and entropy production rate contributed by non-organized energy flux
can be used as physical criteria to identify whether or not the magnetic field
is sufficient to prevent the interface inverse.
