Slow dynamics of linear relaxation systems
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.
Year of publication: |
1994
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Authors: | Cichocki, B. ; Felderhof, B.U. |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 211.1994, 2, p. 165-192
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Publisher: |
Elsevier |
Saved in:
Online Resource
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