2002/07/01 by R. Hilfer · 2 citations
Environmental Science · Materials Science · Mathematics · Physics and Astronomy · Psychology · #Cole–Cole equation #Condensed matter physics #Debye #Domain (mathematical analysis) #Exponential function #Frequency dependence #Frequency domain #Function (biology) #Glass properties and applications #Material Dynamics and Properties #Mathematical analysis #Mathematics #Nuclear magnetic resonance #Phenomenological model #Physics #Psychology #Quantum mechanics #Relaxation (psychology) #Statistical physics #Urban Heat Island Mitigation #cond-mat.dis-nn #cond-mat.mtrl-sci
paper · pdf · doi:10.1016/s0022-3093(02)01088-8
published as J.Non-Crystalline Solids, vol. 305 (2002), page 122 · 6 pages, Latex
openalex publication_date 2002/07/01 · arxiv created 2002/12/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.