Anomalous rotational relaxation: A fractional Fokker-Planck equation approach

2004/10/31 by Ekrem Aydıner, Ekrem Aydiner · 1 citation
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Fractional Differential Equations Solutions #Statistical Mechanics and Entropy #cond-mat.stat-mech #math-ph #math.MP

paper · pdf · doi:10.1103/physreve.71.046103

Revtex4, 9 pages. Paper was revised. References added

arxiv created 2005/01/18 · openalex publication_date 2005/04/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this study we have analytically obtained the relaxation function in terms of rotational correlation functions based on Brownian motion for complex disordered systems in a stochastic framework. We found out that the rotational relaxation function has a fractional form for complex disordered systems, which indicates that relaxation has nonexponential character and obeys the Kohlrausch-William-Watts law, following the Mittag-Leffler decay.

Citations

• From continuous time random walks to the fractional Fokker-Planck equation
• The random walk's guide to anomalous diffusion: a fractional dynamics approach

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• Fractional relaxation and wave equations for dielectrics characterized by the Havriliak-Negami response function

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