Anomalous Rotational Relaxation: A Fractional Fokker-Planck Equation Approach

Abstract

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

arXiv commentRevtex4, 9 pages. Paper was revised. References added

References in corpus (2)

• Lévy flights in random environments
• CTRW Pathways to the Fractional Diffusion Equation

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