Tempered relaxation with clustering patterns
arXiv:1111.3034 · doi:10.1016/j.physleta.2011.10.021
Abstract
This work is motivated by the relaxation data for materials which exhibit a change of the relationship between the fractional power-law exponents when different relaxation peaks in their dielectric susceptibility are observed. Within the proposed framework we derive a frequency-domain relaxation function fitting the whole range of the two-power-law dielectric spectroscopy data with independent low- and high-frequency fractional exponents γ and -α, respectively. We show that this effect results from a contribution of different processes. For high frequencies it is determined by random stops and movement of relaxing components, and the low-frequency slope is caused by clustering in their temporal changes.
13 pages, 3 figures, 2 tables
References in corpus (6)
- Diffusion and Relaxation Controlled by Tempered α-stable Processes
- Subordination model of anomalous diffusion leading to the two-power-law relaxation responses
- Fractional dynamics from the ordinary Langevin equation
- Anomalous diffusion. A competition between the very large jumps in physical and operational times
- Subordination scenario of anomalous relaxation
- Experimental Evidence of the Role of Compound Counting Processes in Random Walk Approaches to Fractional Dynamics