Electroacoustic interaction in a structurally unstable ∞-4 chain

Abstract

A finite chain including two species in each unit cell and one of its moving in the ∞-4 potential, caused by the other, is considered. The displacements are found in the form of coupled cubic equations, consisting of a variable external field as a parameter.In the single cell limit the equations give the well known displacement symmetry breaking. The electroacoustic interaction gives rise to the field-depending collective effects, present in itself an individual realisation of a statistic ensamble.