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Author: Daniel ben-Avraham
Publisher: Cambridge University Press
Published: 2000-11-02
Total Pages: 334
ISBN-13: 0521622786
DOWNLOAD EBOOKThis book describes diffusion and transport in disordered media such as fractals and random resistor networks.
Author: John C. Russ
Publisher: Springer Science & Business Media
Published: 2013-11-11
Total Pages: 313
ISBN-13: 1489925783
DOWNLOAD EBOOKThe author integrates discussions of fractal geometry, surface modeling techniques, and applications to real world problems to provide a comprehensive, accessible overview of the field. His work will equip researchers with the basic tools for measurement and interpretation of data, stimulating more work on these problems and, perhaps, leading to an understanding of the reasons that Nature has adopted this geometry to shape much of our world.
Author: Tsuneyoshi Nakayama
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 216
ISBN-13: 3662051931
DOWNLOAD EBOOKConcisely and clearly written by two foremost scientists, this book provides a self-contained introduction to the basic concepts of fractals and demonstrates their use in a range of topics. The authors’ unified description of different dynamic problems makes the book extremely accessible.
Author: Yuri P. Kalmykov
Publisher: John Wiley & Sons
Published: 2006-07-18
Total Pages: 432
ISBN-13: 0471790257
DOWNLOAD EBOOKFractals, Diffusion, and Relaxation in Disordered Complex Systems is a special guest-edited, two-part volume of Advances in Chemical Physics that continues to report recent advances with significant, up-to-date chapters by internationally recognized researchers.
Author: Paul Meakin
Publisher: Cambridge University Press
Published: 1998
Total Pages: 700
ISBN-13: 9780521452533
DOWNLOAD EBOOKA comprehensive, 1998 account of the practical aspects and pitfalls of the applications of fractal modelling in the physical sciences.
Author: Yuri P. Kalmykov
Publisher: John Wiley & Sons
Published: 2006-07-21
Total Pages: 592
ISBN-13: 047003713X
DOWNLOAD EBOOKFractals, Diffusion and Relaxation in Disordered Complex Systems is a special guest-edited, two-part volume of Advances in Chemical Physics that continues to report recent advances with significant, up-to-date chapters by internationally recognized researchers.
Author: Michael I. Klinger
Publisher: World Scientific
Published: 2013
Total Pages: 339
ISBN-13: 9814407488
DOWNLOAD EBOOKThe present book describes the fundamental features of glassy disordered systems at high temperatures (close to the liquid-to-glass transition) and for the first time in a book, the universal anomalous properties of glasses at low energies (i.e. temperatures/frequencies lower than the Debye values) are depicted. Several important theoretical models for both the glass formation and the universal anomalous properties of glasses are described and analyzed. The origin and main features of soft atomic-motion modes and their excitations, as well as their role in the anomalous properties, are considered in detail. It is shown particularly that the soft-mode model gives rise to a consistent description of the anomalous properties. Additional manifestations of the soft modes in glassy phenomena are described. Other models of the anomalous glassy properties can be considered as limit cases of the soft-mode model for either very low or moderately low temperatures/frequencies.
Author: Alexander Iomin
Publisher: World Scientific
Published: 2018-08-28
Total Pages: 246
ISBN-13: 9813273453
DOWNLOAD EBOOKRandom walks often provide the underlying mesoscopic mechanism for transport phenomena in physics, chemistry and biology. In particular, anomalous transport in branched structures has attracted considerable attention. Combs are simple caricatures of various types of natural branched structures that belong to the category of loopless graphs. The comb model was introduced to understand anomalous transport in percolation clusters. Comb-like models have been widely adopted to describe kinetic processes in various experimental applications in medical physics and biophysics, chemistry of polymers, semiconductors, and many other interdisciplinary applications.The authors present a random walk description of the transport in specific comb geometries, ranging from simple random walks on comb structures, which provide a geometrical explanation of anomalous diffusion, to more complex types of random walks, such as non-Markovian continuous-time random walks. The simplicity of comb models allows to perform a rigorous analysis and to obtain exact analytical results for various types of random walks and reaction-transport processes.
