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

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: Andet › Andet bidrag › Forskning

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Abstrakt

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.

Originalsprog	Engelsk
Publikationsdato	2004
Antal sider	13
Status	Udgivet - 2004

Dokumenter og links

ContinuousRandomWalk_ActaPolonia_2005

http://<Go to ISI>://000229425300031

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Citationsformater

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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",

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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 -