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Slow dynamics of linear relaxation systems

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  • Cichocki, B.
  • Felderhof, B.U.

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.

Suggested Citation

  • Cichocki, B. & Felderhof, B.U., 1994. "Slow dynamics of linear relaxation systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 211(2), pages 165-192.
    • Handle: RePEc:eee:phsmap:v:211:y:1994:i:2:p:165-192
    DOI: 10.1016/0378-4371(94)00187-1
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    References listed on IDEAS

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    1. Cichocki, B. & Hinsen, K., 1992. "Dynamic computer simulation of concentrated hard sphere suspensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(1), pages 133-144.
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    Cited by:

    1. Wajnryb, E. & Szymczak, P. & Cichocki, B., 2004. "Brownian dynamics: divergence of mobility tensor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(3), pages 339-358.

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