6533b824fe1ef96bd1281262

RESEARCH PRODUCT

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

Bożena SzabatKarina WeronPaulina Hetman

subject

Statistics and ProbabilityMoment (mathematics)DipoleAnomalous diffusionStochastic modellingTransition dipole momentRelaxation (physics)Statistical physicsFunction (mathematics)Condensed Matter PhysicsMathematicsExponential function

description

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.

yearjournalcountryeditionlanguage
2006-10-01Physica A: Statistical Mechanics and its Applications
https://doi.org/10.1016/j.physa.2006.02.020