  The paper presents a review of dynamic stabilization mechanisms for plasma
instabilities. One of the dynamic stabilization mechanisms for plasma
instability was proposed in the papers [Phys. Plasmas 19, 024503(2012) and
references therein], based on a perturbation phase control. In general,
instabilities emerge from the perturbations of the physical quantity. Normally
the perturbation phase is unknown so that the instability growth rate is
discussed. However, if the perturbation phase is known, the instability growth
can be controlled by a superimposition of perturbations imposed actively: if
the perturbation is introduced by, for example, a driving beam axis oscillation
or so, the perturbation phase can be controlled and the instability growth is
mitigated by the superimposition of the growing perturbations. Based on this
mechanism we present the application results of the dynamic stabilization
mechanism to the Rayleigh-Taylor (R-T) instability and to the filamentation
instability as typical examples in this paper. On the other hand, in the paper
[Comments Plasma Phys. Controlled Fusion 3, 1(1977)] another mechanism was
proposed to stabilize the R-T instability based on the strong oscillation of
acceleration, which was realized by the laser intensity modulation in laser
inertial fusion [Phys. Rev. Lett. 71, 3131(1993)]. In the latter mechanism, the
total acceleration strongly oscillates, so that the additional oscillating
force is added to create a new stable window in the system. Originally the
latter mechanism was proposed by P. L. Kapitza, and it was applied to the
stabilization of an inverted pendulum. In this paper we review the two dynamic
stabilization mechanisms, and present the application results of the former
dynamic stabilization mechanism.
