This article has an erratum: [https://doi.org/10.1209/0295-5075/94/69901]
Volume 91, Number 4, August 2010
|Number of page(s)||5|
|Published online||03 September 2010|
Subordination model of anomalous diffusion leading to the two-power-law relaxation responses
Institute of Radio Astronomy - 4 Chervonopraporna St., 61002 Kharkov, Ukraine
2 Institute of Physics, Wrocław University of Technology - Wyb. Wyspiańkiego 27, 50-370 Wrocław, Poland, EU
Accepted: 5 August 2010
We derive a general pattern of the nonexponential, two-power-law relaxation from the compound subordination theory of random processes applied to anomalous diffusion. The subordination approach is based on a coupling between the very large jumps in physical and operational times. It allows one to govern a scaling for small and large times independently. Here we obtain explicitly the relaxation function, the kinetic equation and the susceptibility expression applicable to the range of experimentally observed power-law exponents which cannot be interpreted by means of the commonly known Havriliak-Negami fitting function. We present a novel two-power relaxation law for this range in a convenient frequency-domain form and show its relationship to the Havriliak-Negami one.
PACS: 05.40.Fb – Random walks and Levy flights / 77.22.Gm – Dielectric loss and relaxation / 02.50.Ey – Stochastic processes
© EPLA, 2010
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.