Fractional Dynamics In Comb-like Structures
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A01=Alexander Iomin
A01=Vicenc Mendez
A01=Werner Horsthemke
Author_Alexander Iomin
Author_Vicenc Mendez
Author_Werner Horsthemke
Category=PHS
Continuous Time Random Walk
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Fractional Calculus
Subdiffusion
Superdiffusion
Product details
- ISBN 9789813273436
- Publication Date: 16 Oct 2018
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
