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.


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.


Fractals, Diffusion and Relaxation in Disordered Complex Systems, Volume 133, 2 Volumes

Fractals, Diffusion and Relaxation in Disordered Complex Systems, Volume 133, 2 Volumes

Author: Yuri P. Kalmykov

Publisher: Wiley-Interscience

Published: 2006-06-30

Total Pages: 600

ISBN-13:

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This series provides the chemical physics field with a forum for critical, authoritative evaluations of advances in every area of the discipline. 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. This special volume includes chapters on: Dielectic Relaxation Phenomena in Complex Materials Evolution of the Dynamic Susceptibility in Super-Cooled Liquids and Glasses Slow Relaxation, Anomalous Diffusion, and Aging in Equilibrated or Non-equilibrated Environments Aging and Non-Ergodicity Behavior of Blinking Quantum Dot The Continuous Time Random Walk Versus the Generalized Master Equation


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.


Dielectric Relaxation in Biological Systems

Dielectric Relaxation in Biological Systems

Author: Valerica Raicu

Publisher: OUP Oxford

Published: 2015-07-23

Total Pages: 451

ISBN-13: 0191510041

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The study of dielectric properties of biological systems and their components is important not only for fundamental scientific knowledge but also for its applications in medicine, biology, and biotechnology. The associated technique - known as dielectric spectroscopy - has enabled researchers to quickly and accurately acquire time- or frequency-spectra of permittivity and conductivity and permitted the derivation and testing of realistic electrical models for cells and organelles. This text covers the theoretical basis and practical aspects of the study of dielectric properties of biological systems, such as water, electrolyte and polyelectrolytes, solutions of biological macromolecules, cells suspensions and cellular systems. The authors' combined efforts provide a comprehensive and cohesive book that takes advantage of the expertise of multiple scientists involved in cutting-edge research in the specific sub-fields of bio-dielectric spectroscopy while maintaining its self-consistency through numerous discussions. The first six chapters cover theoretical, methodological and experimental aspects of relaxation and dispersion in biological dielectrics at molecular, cellular and cellular aggregate level. Applications are presented in the following chapters which are organized in the order of increased complexity, beginning with pure water, amino acids and proteins, continuing with vesicles and simple cells such as erythrocytes, and then with more complex, organelle-containing cells and cellular aggregates. Due to its broad coverage, the text could be used as a reference book by researchers, and as a textbook for upper-level undergraduate classes and graduate classes in (bio) physics, medical physics, quantitative biology, and engineering.


Progress in Motor Control

Progress in Motor Control

Author: Dagmar Sternad

Publisher: Springer Science & Business Media

Published: 2008-12-25

Total Pages: 727

ISBN-13: 038777064X

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This ground-breaking book brings together researchers from a wide range of disciplines to discuss the control and coordination of processes involved in perceptually guided actions. The research area of motor control has become an increasingly multidisciplinary undertaking. Understanding the acquisition and performance of voluntary movements in biological and artificial systems requires the integration of knowledge from a variety of disciplines from neurophysiology to biomechanics.


Fractional Kinetics in Solids

Fractional Kinetics in Solids

Author: Vladimir Uchaikin

Publisher: World Scientific

Published: 2013

Total Pages: 274

ISBN-13: 9814355437

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In this book, a novel approach using equations with derivatives of fractional orders is applied to describe anomalous transport and relaxation in disordered semiconductors, dielectrics and quantum dot systems. A relationship between the self-similarity of transport, the Levy stable limiting distributions and the kinetic equations with fractional derivatives is established. It is shown that unlike the well-known Scher-Montroll and Arkhipov-Rudenko models, which are in a sense alternatives to the normal transport model, fractional differential equations provide a unified mathematical framework for describing normal and dispersive transport. The fractional differential formalism allows the equations of bipolar transport to be written down and transport in distributed dispersion systems to be described.


On the Fractal Language of Medicine

On the Fractal Language of Medicine

Author: Bruce J. West

Publisher: CRC Press

Published: 2024-07-17

Total Pages: 162

ISBN-13: 1040089135

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On the Fractal Language of Medicine bridges a very clear gap among the knowledge gained over the last 20 years in the physical and life sciences on network theory, organ synchronicity and communication, the understanding of fractal signatures in health and disease and the importance of fractional calculus in integrating these concepts. The authors opine that the field of medicine has not appreciated this hard-won knowledge and has suffered greatly as a result. This book addresses this perceived deficiency by introducing medical researchers, clinicians, residents, first-year medical students and members of allied fields to the work of the so-called hard sciences. It seeks to facilitate effective communication between empiricists and theorists by making interdisciplinary efforts to explain complex mathematical concepts to physicians and, equally important, to elucidate complex medical concepts to physicists or mathematicians. This book will be of great interest to medical students, professionals and academics, as well as students and researchers of applied mathematics, especially those interested in fractional calculus and fractals.


Dynamics of Glassy, Crystalline and Liquid Ionic Conductors

Dynamics of Glassy, Crystalline and Liquid Ionic Conductors

Author: Junko Habasaki

Publisher: Springer

Published: 2016-10-19

Total Pages: 614

ISBN-13: 3319423916

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This book discusses the physics of the dynamics of ions in various ionically conducting materials, and applications including electrical energy generation and storage. The experimental techniques for measurements and characterization, molecular dynamics simulations, the theories of ion dynamics, and applications are all addressed by the authors, who are experts in their fields. The experimental techniques of measurement and characterization of dynamics of ions in glassy, crystalline, and liquid ionic conductors are introduced with the dual purpose of introducing the reader to the experimental activities of the field, and preparing the reader to understand the physical quantities derived from experiments. These experimental techniques include calorimetry, conductivity relaxation, nuclear magnetic resonance, light scattering, neutron scattering, and others. Methods of molecular dynamics simulations are introduced to teach the reader to utilize the technique for practical applications to specific problems. The results elucidate the dynamics of ions on some issues that are not accessible by experiments. The properties of ion dynamics in glassy, crystalline and liquid ionic conductors brought forth by experiments and simulations are shown to be universal, i.e. independent of physical and chemical structure of the ionic conductor as long as ion-ion interaction is the dominant factor. Moreover these universal properties of ion dynamics are shown to be isomorphic to other complex interacting systems including the large class of glass-forming materials with or without ionic conductivity.By covering the basic concepts, theories/models, experimental techniques and data, molecular dynamics simulations, and relating them together, Dynamics of Glassy, Crystalline and Liquid Ionic Conductors will be of great interest to many in basic and applied research areas from the broad and diverse communities of condensed matter physicists, chemists, materials scientists and engineers. The book also provides the fundamentals for an introduction to the field and it is written in such a way that can be used for teaching courses either at the undergraduate or graduate level in academic institutions.