A Continuous-Time Random-Walk Approach to the Cole-Davidson Dielectric Response of Dipolar Liquids

We show how the Cole-Davidson relaxation response, characteristic of alcoholic systems, can be derived within the framework of the continuous time random walk (CTRW). Using the random-variable formalism, we indicate that the high-frequency power law of dielectric spectra is determined by the heavy-tailed distribution of quantities that provide the spatio - temporal coupling in the random-walk process. As an illustration, we present the dielectric permittivity spectra of several butanediol isomers. (author)