Journal of Statistical Physics

, Volume 78, Issue 3–4, pp 1027–1038 | Cite as

Relaxation functions in dipolar materials

  • A. Weron
  • K. Weron
  • W. A. Woyczynski


We compare two simple “cartoons” of relaxation processes in dipolar materials: the “first passage” relaxation function introduced by K. Weron (1991) and the “average” relaxation function expressing the proportion of dipoles which did not change their imposed aligned orientation up to a certain time, the latter providing a description closer to what is experimentally measured. In some cases, the two relaxation functions are proved to coincide.

Key Words

Dielectric relaxation function Kohlrausch-Williams-Watts response one-sided Lévy stable distribution order statistics 


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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • A. Weron
    • 1
  • K. Weron
    • 2
  • W. A. Woyczynski
    • 3
  1. 1.Hugo Steinhaus Center for Stochastic MethodsTechnical University of WrocławWroclawPoland
  2. 2.Institute of PhysicsTechnical University of WrocławWroclawPoland
  3. 3.Center for Stochastic and Chaotic Processes in Science and TechnologyCase Western Reserve UniversityCleveland

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