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The wave equation in disordered chains is expressed in terms of linear 2D stochastic mapping. The phase portraits found numerically are topologically different for quasi-localized and quasi-extended states. The maps have complex structure controlled by the disorder and the energy.

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The temperature dependence of the far infrared absorption of P-AgI is calculated. The increasing occupation of higher energy minima by Ag+ ions leads to the appearance of two low energy phonon lines with frequencies of 38 cm-1 and 85 cm-1, respectively, discussed lately by Brafman and Vardeny. The current calculations taking into account the hopping kinetics for the pseudospin variables lead to an infrared conductivity similar to that observed by Funke and Jost. The activation energy of 76 K is in good agreement with the temperature dependence of the infrared conductivity discussed by Burns, Dacol, and Shafer. MccnenosaHHa TeMnepaTypHaR ~~B H C H M O C T E . naneKoro nH+paKpacHoro nornoweHm