Abstract
The conditions for the formation of amplitude instabilities in 3D Yukawa systems consisting of nine charged particles in a body-centered cubic (bcc) cell have been investigated. The criterion for the formation of amplitude instability has been sought using an analytic approach based on determining the point of inflection of the potential energy of the system during deviation of particles from their equilibrium position. The results have been compared with melting criteria for extended bcc lattices.
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