Structural,electronic and optical properties of fluorite-type compounds

An oscillator chain with dynamical traps and additive white noise isconsidered. Its dynamics are studied numerically. New type nonequilibrium phasetransitions are shown to arise in the case when the trap effect is pronounced.Locally they manifest themselves in distortion of the symmetry of particlearrangement. Depending on the system parameters, the particle arrangement ischaracterized by the corresponding distributions taking either a bimodal form,or a twoscale one, or a unimodal onescale form that, however, deviatessubstantially from the Gaussian distribution. The particle velocities alsoexhibit a number of anomalies, in particular, their distribution can beextremely wide or take a quasi-cusp form. A large number of various cooperativestructures and superstructures are found in the visualized time patterns. In acertain sense their evolution is independent of the individual particledynamics, enabling us to regard them as dynamical phases.