Alexander Iomin's Books

Fractional Dynamics In Comb-like Structures

By: Alexander Iomin,Vicenc Mendez,Werner Horsthemke

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Fractional Dynamics In Comb-like Structures

By: Alexander Iomin,Vicenc Mendez,Werner Horsthemke

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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Page Count

246

Publisher

World Scientific

Published Date

ISBN 10

9813273453

ISBN 13

9789813273450

Special Functions Of Fractional Calculus: Applications To Diffusion And Random Search Processes

By: Trifce Sandev,Alexander Iomin

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Special Functions Of Fractional Calculus: Applications To Diffusion And Random Search Processes

By: Trifce Sandev,Alexander Iomin

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 contains detailed calculations for various examples of anomalous diffusion, random search and stochastic resetting processes, which can be easily followed by the reader, who will be able to reproduce the obtained results. The book will be intended for advanced undergraduate and graduate students and researchers in physics, mathematics and other natural sciences due to the various examples which will be provided in the book.

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Page Count

292

Publisher

World Scientific

Published Date

ISBN 10

9811252963

ISBN 13

9789811252969

Fractional Dynamics In Comb-like Structures

By: Alexander Iomin,Vicenc Mendez,Werner Horsthemke

Write a review Read reviews Take a Quiz Solve Book Puzzle

Fractional Dynamics In Comb-like Structures

By: Alexander Iomin,Vicenc Mendez,Werner Horsthemke

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

246

Publisher

World Scientific

Published Date

ISBN 10

9813273453

ISBN 13

9789813273450

Book's by Alexander Iomin

Fractional Dynamics In Comb-like Structures

Fractional Dynamics In Comb-like Structures

Special Functions Of Fractional Calculus: Applications To Diffusion And Random Search Processes

Special Functions Of Fractional Calculus: Applications To Diffusion And Random Search Processes

Fractional Dynamics In Comb-like Structures

Fractional Dynamics In Comb-like Structures

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