Subordination scenario of the Cole-Davidson relaxation
Abstract
The non-exponential relaxation is shown to result from the temporal subordination of an initial, exponentially decaying state by inverse tempered α-stable processes. In contrast to the ordinary α-stable processes the tempered α-stable ones are characterized by the finiteness of their moments. This approach establishes a direct link between the Cole-Cole and the Cole-Davidson relaxation laws.
- Publication:
-
Physics Letters A
- Pub Date:
- July 2009
- DOI:
- 10.1016/j.physleta.2009.05.027
- arXiv:
- arXiv:1111.3038
- Bibcode:
- 2009PhLA..373.2520S
- Keywords:
-
- 05.40.-a;
- 05.60.-k;
- 05.40.Fb;
- Fluctuation phenomena random processes noise and Brownian motion;
- Transport processes;
- Random walks and Levy flights;
- Condensed Matter - Statistical Mechanics;
- Physics - Data Analysis;
- Statistics and Probability
- E-Print:
- 14 pages, 3 figures