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Fractals, diffusion, and relaxation in disordered complex systems; 2v.


Fractals, diffusion, and relaxation in disordered complex systems; 2v.

Coffey, William T. and Yuri P. Kalmykov.



1298 pages



Advances in chemical physics; v.133, parts A & B


In their preface to this work, editors Coffey (electronic and electrical engineering, Trinity College, Ireland) and Kalmykov (mathematics and physics of systems, U. de Perpignan, France) note that ever larger data windows are becoming accessible for bringing greater refinement to experimental data, with the result that fractional diffusion and kinetic equations have become powerful tools for the description of anomalous relaxation and diffusion processes for complex systems such as glasses, liquid crystals, polymers, proteins, biopolymers, living organisms, or even ecosystems. Their two-volume anthology is intended as a state-of-the art survey of this field and contains, roughly speaking, four experimental and seven theoretical chapters. The first volume contains papers on dielectic relaxation phenomena in complex materials; evolution of the dynamic susceptibility in supercooled liquids and gasses; slow relaxation, anomalous diffusion, and aging in equilibrated or nonequilibrated environments; stochastic and physical models of power-law blinking quantum dots; and continuous-time random walk versus the generalized master equation. Papers in the second volume discuss fractal physiology, complexity, and fractional calculus; physical properties of fractal structures; fractional rotational diffusion and anomalous dielectric relaxation in dipole systems; fundamentals of Levy flight processes; dispersion of the structural relaxation and vitrification of liquids; and molecular dynamics in thin polymer fields.

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Publication:SciTech Book News
Article Type:Book Review
Date:Dec 1, 2006
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