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A probabilistic mechanism hidden behind the universal power law for dielectric relaxation. 1 - General relaxation equation

Technical Report:

Abstract

A new model for the explanation of the universal dielectric response law is proposed. It differs significantly from all previous works on the subject. The presented model is based on the assumption that individual dipoles and their environment do not remain independent during the process of relaxation. Therefore, the time {theta}{sub i}, needed for the regression to equilibrium of polarization fluctuations in a random variable which depends for each relaxing dipole on two other random variables: the waiting time {eta}{sub i} and the dissipation rate {beta}{sub i}. As a consequence we derive a general relaxation equation which gives the universal dielectric response in the power law form (as a special case the stretched exponential form is obtained). (author). 47 refs, 2 figs.
Authors:
Publication Date:
Aug 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/246
Reference Number:
SCA: 665000; PA: AIX-23:015816; SN: 92000647323
Resource Relation:
Other Information: PBD: Aug 1991
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; DIELECTRIC PROPERTIES; RELAXATION; FLUCTUATIONS; POLARIZATION; RESPONSE FUNCTIONS; 665000; PHYSICS OF CONDENSED MATTER
OSTI ID:
10113443
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92615484; TRN: XA9130256015816
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
24 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Weron, K. A probabilistic mechanism hidden behind the universal power law for dielectric relaxation. 1 - General relaxation equation. IAEA: N. p., 1991. Web.
Weron, K. A probabilistic mechanism hidden behind the universal power law for dielectric relaxation. 1 - General relaxation equation. IAEA.
Weron, K. 1991. "A probabilistic mechanism hidden behind the universal power law for dielectric relaxation. 1 - General relaxation equation." IAEA.
@misc{etde_10113443,
title = {A probabilistic mechanism hidden behind the universal power law for dielectric relaxation. 1 - General relaxation equation}
author = {Weron, K}
abstractNote = {A new model for the explanation of the universal dielectric response law is proposed. It differs significantly from all previous works on the subject. The presented model is based on the assumption that individual dipoles and their environment do not remain independent during the process of relaxation. Therefore, the time {theta}{sub i}, needed for the regression to equilibrium of polarization fluctuations in a random variable which depends for each relaxing dipole on two other random variables: the waiting time {eta}{sub i} and the dissipation rate {beta}{sub i}. As a consequence we derive a general relaxation equation which gives the universal dielectric response in the power law form (as a special case the stretched exponential form is obtained). (author). 47 refs, 2 figs.}
place = {IAEA}
year = {1991}
month = {Aug}
}