A continuous-time random-walk approach to the Cole-Davidson dielectric response of dipolar liquids: 17th Marian Smoluchowski Symposium on Statistical Physics

B. Szabat, K. M. Langner, Beate Maria Klösgen-Buchkremer, K. Weron

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Abstract

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.
Original languageEnglish
Publication date2004
Number of pages13
Publication statusPublished - 2004

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