
Fractional Dynamics In Comb-like Structures
World Scientific Publishing Co Pte Ltd
Published on 16. October 2018
Book
Hardback
248 pages
978-981-327-343-6 (ISBN)
Description
Random 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.
More details
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 18 mm
Weight
515 gr
ISBN-13
978-981-327-343-6 (9789813273436)
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Schweitzer Classification
Persons
Author
Technion-israel Inst Of Tech, Israel
Univ Autonoma De Barcelona, Spain
Southern Methodist Univ, Usa