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Magnetohydrodynamical evolution of the Richtmyer-Meshkov instability (RMI) isinvestigated by two-dimensional MHD simulations. The RMI is suppressed by astrong magnetic field, whereas the RMI amplifies an ambient magnetic field bymany orders of magnitude if the seed field is weak. We have found that thesuppression and amplification processes can be evaluated continuously alongwith the amplitude of the Alfv\'en number $R_A$, which is defined as the ratioof the linear growth velocity of the RMI to the Alfv\'en speed at theinterface. When the Alfv\'en number is less than unity, the Lorentz forceacting on the fluid mitigates the unstable motion of the RMI significantly, andthe interface oscillates stably in this limit. If $R_A \gtrsim 1$, on the otherhand, the surface modulation increases due to the growth of the RMI. Themaximum strength of the magnetic field is enhanced up to by a factor of $R_A$.This critical feature is universal and independent of the initial Mach numberof the incident shock, the Atwood number, corrugation amplitude, and even thedirection of the initial magnetic field.

Alfven number for the Richtmyer-Meshkov instability in magnetized plasmas