Slow dynamics of linear relaxation systems
B. Cichocki and
B.U. Felderhof
Physica A: Statistical Mechanics and its Applications, 1994, vol. 211, issue 2, 165-192
Abstract:
Linear relaxation, occurring in dielectrics, viscoelastic fluids, and many other systems, is often characterized by a broad continuous spectrum. We show that the relaxation behavior may be analyzed effectively by means of N-point Padé approximants, applied in the complex plane of the square root of frequency. The method leads to a compact analytic expression for the Laplace transform of the relaxation function, characterized by a small number of poles and their residues in the square root of frequency plane. We study the method in detail for a model of diffusion in three dimensions with a single or double radial potential barrier, and demonstrate its use in the analysis of the viscoelastic relaxation spectrum of polyisobutylene.
Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:211:y:1994:i:2:p:165-192
DOI: 10.1016/0378-4371(94)00187-1
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