6533b7dbfe1ef96bd126f7ce

RESEARCH PRODUCT

Analytical representations for relaxation functions of glasses

Rudolf HilferRudolf Hilfer

subject

PhysicsCondensed Matter - Materials ScienceMaterials Science (cond-mat.mtrl-sci)FOS: Physical sciencesFunction (mathematics)Disordered Systems and Neural Networks (cond-mat.dis-nn)Condensed Matter - Disordered Systems and Neural NetworksCondensed Matter PhysicsElectronic Optical and Magnetic MaterialsExponential functionFrequency domainMaterials ChemistryCeramics and CompositesRelaxation (physics)Time domainStatistical physicsSusceptibility function

description

Analytical representations in the time and frequency domains are derived for the most frequently used phenomenological fit functions for non-Debye relaxation processes. In the time domain the relaxation functions corresponding to the complex frequency dependent Cole-Cole, Cole-Davidson and Havriliak-Negami susceptibilities are also represented in terms of $H$-functions. In the frequency domain the complex frequency dependent susceptibility function corresponding to the time dependent stretched exponential relaxation function is given in terms of $H$-functions. The new representations are useful for fitting to experiment.

yearjournalcountryeditionlanguage
2002-12-28
10.1016/s0022-3093(02)01088-8http://arxiv.org/abs/cond-mat/0212622