Fractional Dynamics In Comb-like Structures

Fractional Dynamics In Comb-like Structures
Author :
Publisher : World Scientific
Total Pages : 246
Release :
ISBN-10 : 9789813273450
ISBN-13 : 9813273453
Rating : 4/5 (50 Downloads)

Book Synopsis Fractional Dynamics In Comb-like Structures by : Alexander Iomin

Download or read book Fractional Dynamics In Comb-like Structures written by Alexander Iomin and published by World Scientific. This book was released on 2018-08-28 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Fractional Dynamics In Comb-like Structures Related Books

Fractional Dynamics In Comb-like Structures
Language: en
Pages: 246
Authors: Alexander Iomin
Categories: Science
Type: BOOK - Published: 2018-08-28 - Publisher: World Scientific

DOWNLOAD EBOOK

Random walks often provide the underlying mesoscopic mechanism for transport phenomena in physics, chemistry and biology. In particular, anomalous transport in
Special Functions Of Fractional Calculus: Applications To Diffusion And Random Search Processes
Language: en
Pages: 292
Authors: Trifce Sandev
Categories: Mathematics
Type: BOOK - Published: 2022-10-07 - Publisher: World Scientific

DOWNLOAD EBOOK

This book aims to provide an overview of the special functions of fractional calculus and their applications in diffusion and random search processes. The book
Theory and Applications of Fractional Differential Equations
Language: en
Pages: 550
Authors: A.A. Kilbas
Categories: Mathematics
Type: BOOK - Published: 2006-02-16 - Publisher: Elsevier

DOWNLOAD EBOOK

This work aims to present, in a systematic manner, results including the existence and uniqueness of solutions for the Cauchy Type and Cauchy problems involving
Modeling and Analysis of Modern Fluid Problems
Language: en
Pages: 482
Authors: Liancun Zheng
Categories: Science
Type: BOOK - Published: 2017-04-26 - Publisher: Academic Press

DOWNLOAD EBOOK

Modeling and Analysis of Modern Fluids helps researchers solve physical problems observed in fluid dynamics and related fields, such as heat and mass transfer,
Fractional Diffusion Equations and Anomalous Diffusion
Language: en
Pages: 362
Authors: Luiz Roberto Evangelista
Categories: Science
Type: BOOK - Published: 2018-01-25 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Anomalous diffusion has been detected in a wide variety of scenarios, from fractal media, systems with memory, transport processes in porous media, to fluctuati