Fractional Dynamics In Comb-like Structures

Author:   Alexander Iomin (Technion-israel Inst Of Tech, Israel) ,  Vicenc Mendez (Univ Autonoma De Barcelona, Spain) ,  Werner Horsthemke (Southern Methodist Univ, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789813273436


Pages:   248
Publication Date:   16 October 2018
Format:   Hardback
Availability:   In Print   Availability explained
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Fractional Dynamics In Comb-like Structures


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Overview

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.

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Author:   Alexander Iomin (Technion-israel Inst Of Tech, Israel) ,  Vicenc Mendez (Univ Autonoma De Barcelona, Spain) ,  Werner Horsthemke (Southern Methodist Univ, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789813273436


ISBN 10:   9813273437
Pages:   248
Publication Date:   16 October 2018
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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