Amplitude instability in the mass-transfer theory for Yukawa systems

Conditions for amplitude instability formation in a system of charged grains placed in an external electric field are considered. The criterion for the development of this kind of instability is proposed. The proposed analytical approach is tested by numerical simulations of problem for Yukawa systems consisting of two particles. The influence of the formation of amplitude instability on the mass-transfer processes and on the dynamics of “leaps” in the two-particle systems is studied.