Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1482292 | Journal of Non-Crystalline Solids | 2011 | 4 Pages |
Abstract
In this paper, we begin introducing some basic definitions and mathematical preliminaries of the fractional calculus theory. By using the fractional calculus technique (that is, calculus of derivatives and integrals of any arbitrary real or complex order) a solution of the fractional master equation derived from the stochastic Ising model of Glauber has been obtained and the result is applied to an analysis of the dielectric relaxation processes. From the solution of the equation, the Cole-Cole dispersion relation, KWW (Kohlrausch-William-Watts) equation and algebraic decay relaxation functions are obtained easily. Then these functions are compared with Bozdemir's earlier analysis of the stochastic Ising model.
Related Topics
Physical Sciences and Engineering
Materials Science
Ceramics and Composites
Authors
M. Serdar ÃavuÅ,