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An Introduction to Anomalous Diffusion and Relaxation

2023-01-01 Science
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Release : 2023-01-01
Genre : Science
Kind : eBook
Book Rating : 506/5 ( reviews)

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Book Synopsis An Introduction to Anomalous Diffusion and Relaxation by : Luiz Roberto Evangelista

Download or read book An Introduction to Anomalous Diffusion and Relaxation written by Luiz Roberto Evangelista. This book was released on 2023-01-01. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a contemporary treatment of the problems related to anomalous diffusion and anomalous relaxation. It collects and promotes unprecedented applications dealing with diffusion problems and surface effects, adsorption-desorption phenomena, memory effects, reaction-diffusion equations, and relaxation in constrained structures of classical and quantum processes. The topics covered by the book are of current interest and comprehensive range, including concepts in diffusion and stochastic physics, random walks, and elements of fractional calculus. They are accompanied by a detailed exposition of the mathematical techniques intended to serve the reader as a tool to handle modern boundary value problems. This self-contained text can be used as a reference source for graduates and researchers working in applied mathematics, physics of complex systems and fluids, condensed matter physics, statistical physics, chemistry, chemical and electrical engineering, biology, and many others.

Anomalous Diffusion

1999-01-21 Medical
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Release : 1999-01-21
Genre : Medical
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Anomalous Diffusion by : Andrzej Pekalski

Download or read book Anomalous Diffusion written by Andrzej Pekalski. This book was released on 1999-01-21. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles gives a nice overview of the fast growing field of diffusion and transport. The area of non-Browman statistical mechanics has many extensions into other fields like biology, ecology, geophysics etc. These tutorial lectures address e.g. Lévy flights and walks, diffusion on metal surfaces or in superconductors, classical diffusion, biased and anomalous diffusion, chemical reaction diffusion, aging in glassy systems, diffusion in soft matter and in nonsymmetric potentials, and also new problems like diffusive processes in econophysics and in biology.

Anomalous Diffusion

2014-03-12 Science
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Release : 2014-03-12
Genre : Science
Kind : eBook
Book Rating : 417/5 ( reviews)

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Book Synopsis Anomalous Diffusion by : Andrzej Pekalski

Download or read book Anomalous Diffusion written by Andrzej Pekalski. This book was released on 2014-03-12. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles gives a nice overview of the fast growing field of diffusion and transport. The area of non-Browman statistical mechanics has many extensions into other fields like biology, ecology, geophysics etc. These tutorial lectures address e.g. Lévy flights and walks, diffusion on metal surfaces or in superconductors, classical diffusion, biased and anomalous diffusion, chemical reaction diffusion, aging in glassy systems, diffusion in soft matter and in nonsymmetric potentials, and also new problems like diffusive processes in econophysics and in biology.

Fractional Diffusion Equations and Anomalous Diffusion

2018-01-25 Mathematics
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Release : 2018-01-25
Genre : Mathematics
Kind : eBook
Book Rating : 551/5 ( reviews)

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Book Synopsis Fractional Diffusion Equations and Anomalous Diffusion by : Luiz Roberto Evangelista

Download or read book Fractional Diffusion Equations and Anomalous Diffusion written by Luiz Roberto Evangelista. This book was released on 2018-01-25. Available in PDF, EPUB and Kindle. Book excerpt: Presents a unified treatment of anomalous diffusion problems using fractional calculus in a wide range of applications across scientific and technological disciplines.

Fractional Diffusion Equations and Anomalous Diffusion

2018-01-25 Science
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Release : 2018-01-25
Genre : Science
Kind : eBook
Book Rating : 035/5 ( reviews)

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Book Synopsis Fractional Diffusion Equations and Anomalous Diffusion by : Luiz Roberto Evangelista

Download or read book Fractional Diffusion Equations and Anomalous Diffusion written by Luiz Roberto Evangelista. This book was released on 2018-01-25. Available in PDF, EPUB and Kindle. Book excerpt: Anomalous diffusion has been detected in a wide variety of scenarios, from fractal media, systems with memory, transport processes in porous media, to fluctuations of financial markets, tumour growth, and complex fluids. Providing a contemporary treatment of this process, this book examines the recent literature on anomalous diffusion and covers a rich class of problems in which surface effects are important, offering detailed mathematical tools of usual and fractional calculus for a wide audience of scientists and graduate students in physics, mathematics, chemistry and engineering. Including the basic mathematical tools needed to understand the rules for operating with the fractional derivatives and fractional differential equations, this self-contained text presents the possibility of using fractional diffusion equations with anomalous diffusion phenomena to propose powerful mathematical models for a large variety of fundamental and practical problems in a fast-growing field of research.

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