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

Publikation: AndetAndet bidragForskning

Resumé

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.
OriginalsprogEngelsk
Publikationsdato2004
Antal sider13
StatusUdgivet - 2004

Fingeraftryk

random walk
physics
random variables
liquids
isomers
permittivity
formalism

Citer dette

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title = "A continuous-time random-walk approach to the Cole-Davidson dielectric response of dipolar liquids: 17th Marian Smoluchowski Symposium on Statistical Physics",
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.",
author = "B. Szabat and Langner, {K. M.} and Kl{\"o}sgen-Buchkremer, {Beate Maria} and K. Weron",
year = "2004",
language = "English",
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T1 - A continuous-time random-walk approach to the Cole-Davidson dielectric response of dipolar liquids

T2 - 17th Marian Smoluchowski Symposium on Statistical Physics

AU - Szabat, B.

AU - Langner, K. M.

AU - Klösgen-Buchkremer, Beate Maria

AU - Weron, K.

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

M3 - Other contribution

ER -