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Fractional Dynamics In Comb-like Structures

Fractional Dynamics In Comb-like Structures

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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.

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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.

Produktdetaljer
Sprog: Engelsk
Sider: 248
ISBN-13: 9789813273436
Indbinding: Hardback
Udgave:
ISBN-10: 9813273437
Kategori: Statistisk fysik
Udg. Dato: 16 okt 2018
Længde: 0mm
Bredde: 0mm
Højde: 0mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 16 okt 2018
Forfatter(e) Werner Horsthemke, Alexander Iomin, Vicenc Mendez


Kategori Statistisk fysik


ISBN-13 9789813273436


Sprog Engelsk


Indbinding Hardback


Sider 248


Udgave


Længde 0mm


Bredde 0mm


Højde 0mm


Udg. Dato 16 okt 2018


Oplagsdato 16 okt 2018


Forlag World Scientific Publishing Co Pte Ltd

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