Stretched exponential relaxation in disordered complex systems: Fractal time random walk model

AYDINER E.

CHINESE PHYSICS LETTERS, vol.24, no.6, pp.1486-1489, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 6
  • Publication Date: 2007
  • Doi Number: 10.1088/0256-307x/24/6/016
  • Journal Name: CHINESE PHYSICS LETTERS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1486-1489
  • Dokuz Eylül University Affiliated: No

Abstract

We have analytically derived the relaxation function for one-dimensional disordered complex systems in terms of autocorrelation function of fractal time random walk by using operator formalism. We have shown that the relaxation function has stretched exponential, i.e. the Kohlrausch-Williams-Watts character for a fractal time random walk process.