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Wait-and-switch stochastic model of the non-Debye relaxation. Derivation of the Burr survival probability

Author

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  • Szabat, Bożena
  • Hetman, Paulina
  • Weron, Karina

Abstract

Stochastic mechanism of relaxation, in which a dipole waits until a favourable condition for reorientation exists, is discussed. Assuming that an imposed direction of a dipole moment may be changed when a migrating defect reaches the dipole, we present a mathematically rigorous scheme relating the local random characteristics of a macroscopic system to its effective relaxation behaviour. We derive a relaxation function (the Burr survival probability) that is characterized by the stretched exponential or the power-law behaviour.

Suggested Citation

  • Szabat, Bożena & Hetman, Paulina & Weron, Karina, 2006. "Wait-and-switch stochastic model of the non-Debye relaxation. Derivation of the Burr survival probability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(2), pages 346-354.
    • Handle: RePEc:eee:phsmap:v:370:y:2006:i:2:p:346-354
    DOI: 10.1016/j.physa.2006.02.020
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