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    Chapter and Conference Paper

    Applications and Implications of Fractional Dynamics for Dielectric Relaxation

    This article summarizes briefly the presentation given by the author at the NATO Advanced Research Workshop on “Broadband Dielectric Spectroscopy and its Advanced Technological Applications”, held in Perpignan...

    R. Hilfer in Recent Advances in Broadband Dielectric Spectroscopy (2013)

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    Chapter and Conference Paper

    Effective Physical Properties of Sandstones

    In this paper we continue the investigation of the effective transport parameters of a digitized sample of Fontainebleau sandstone and three reconstruction models discussed previously in Biswal et. al., Physic...

    J. Widjajakusuma, R. Hilfer in IUTAM Symposium on Theoretical and Numeric… (2002)

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    Chapter and Conference Paper

    Fractional Evolution Equations and Irreversibility

    The paper reviews a general theory predicting the general importance of fractional evolution equations. Fractional time evolutions are shown to arise from a microscopic time evolution in a certain long time sc...

    R. Hilfer in Traffic and Granular Flow ’99 (2000)

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    Chapter and Conference Paper

    On fractional diffusion and its relation with continuous time random walks

    Time evolutions whose infinitesimal generator is a fractional time derivative arise generally in the long time limit. Such fractional time evolutions are considered here for random walks. An exact relationship...

    R. Hilfer in Anomalous Diffusion From Basics to Applications (1999)

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    Chapter and Conference Paper

    Fractional Derivatives in Static and Dynamic Scaling

    A derivative or integral of fractional order is usually defined by analytically continuing a suitable definition of the derivative or integral of integer order n ∈ ℕ to real or complex values of n.

    R. Hilfer in Scale Invariance and Beyond (1997)

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    Chapter and Conference Paper

    Modelling of Orientational Ordering in Lipid Monolayers

    Lipid monolayers at high densities are modelled as rigid rods grafted to an interface at the sites of a regular lattice. The transition between the state where the rods are uniformly tilted to a disordered sta...

    M. Kreer, M. Scheringer, K. Binder in Computer Simulation Studies in Condensed-M… (1993)