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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...
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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...
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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...
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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...
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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.
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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...