An Introduction to Anomalous Diffusion and Relaxation

An Introduction to Anomalous Diffusion and Relaxation

Author: Luiz Roberto Evangelista

Publisher: Springer Nature

Published: 2023-01-01

Total Pages: 411

ISBN-13: 3031181506

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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.


Fractals, Diffusion, and Relaxation in Disordered Complex Systems

Fractals, Diffusion, and Relaxation in Disordered Complex Systems

Author: Yuri P. Kalmykov

Publisher: John Wiley & Sons

Published: 2006-07-18

Total Pages: 432

ISBN-13: 0471790257

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Fractals, Diffusion, and Relaxation in Disordered Complex Systems is a special guest-edited, two-part volume of Advances in Chemical Physics that continues to report recent advances with significant, up-to-date chapters by internationally recognized researchers.


Relaxation and Diffusion in Complex Systems

Relaxation and Diffusion in Complex Systems

Author: K.L. Ngai

Publisher: Springer Science & Business Media

Published: 2011-03-25

Total Pages: 853

ISBN-13: 1441976493

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The usefulness of the book to the reader is exposure to many different classes of materials and relaxation phenomena. They are tied together by the universal relaxation and diffusion properties they share, and a consistent explanation of their origin. The readers can apply what they learn to solve their own problems and use it as a stepping-stone to make further advances in theoretical understanding of the origin of the universality.


Relaxation in Complex Systems and Related Topics

Relaxation in Complex Systems and Related Topics

Author: I.A. Campbell

Publisher: Springer

Published: 2013-06-29

Total Pages: 338

ISBN-13: 9781489921383

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The aim of the workshop was to bring together specialists in various fields where non-exponential relaxation is observed in order to compare models and experimental results and to examine the general physical principles governing this type of behaviour. Non-exponential relaxation is found in extremely diverse physical systems all of which can be classified as complex. The form of the relaxation is generally parametrized using logarithmic, algebraic or stretched exponential decay forms. The conceptually simplest mechanism for the non-exponential decay is a spectrum of relaxation rates due to non-interacting units each of which relaxes with a different intrinsic time constant. Clear experimental examples can be given where for instance the relaxation of a collection of isolated polymer molecules leads to an overall stretched exponential decay. Non-exponential relaxation is observed in all strongly interacting complex systems (structural glasses, spin glasses, etc ... ) where each elementary unit is in interaction with many other units.


Relaxations in Complex Systems

Relaxations in Complex Systems

Author: Naval Research Laboratory (U.S.)

Publisher:

Published: 1985

Total Pages: 366

ISBN-13:

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The book presents a survey and review of relaxation phenomena in many research fields. Contents: Viscous Liquids and Glasses; Relaxation in Polymers; Metallic Glasses; Spin Glasses; Electrical Relaxations in Ionic Conductors; and Theory and Models.


Fractals, Diffusion, and Relaxation in Disordered Complex Systems

Fractals, Diffusion, and Relaxation in Disordered Complex Systems

Author: Yuri P. Kalmykov

Publisher: John Wiley & Sons

Published: 2006-07-21

Total Pages: 592

ISBN-13: 047003713X

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Fractals, Diffusion and Relaxation in Disordered Complex Systems is a special guest-edited, two-part volume of Advances in Chemical Physics that continues to report recent advances with significant, up-to-date chapters by internationally recognized researchers.