Abstract
The effect of hopping processes on the propagation of acoustic waves in solid electrolytes is studied theoretically. We show that the attenuation coefficient is related to the coherent dynamic structure factor 5(k, ω) of the component of migrating ions, taken at short wavelengths k −1. Numerical simulations of the corresponding relaxation function are carried out for a Coulomb lattice-gas containing randomly placed immobile counterions. Non-exponential relaxational effects, typically known for disordered materials, are found in our calculations.