Anomalous Diffusion
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Fractional Diffusion Equations And Anomalous Diffusion
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Author : Luiz Roberto Evangelista
language : en
Publisher: Cambridge University Press
Release Date : 2018-01-25
Fractional Diffusion Equations And Anomalous Diffusion written by Luiz Roberto Evangelista and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-25 with Mathematics categories.
Presents a unified treatment of anomalous diffusion problems using fractional calculus in a wide range of applications across scientific and technological disciplines.
Anomalous Diffusion
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Author : Andrzej Pekalski
language : en
Publisher: Springer
Release Date : 1999-01-21
Anomalous Diffusion written by Andrzej Pekalski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-21 with Medical categories.
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.
Modeling Anomalous Diffusion From Statistics To Mathematics
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Author : Weihua Deng
language : en
Publisher: World Scientific
Release Date : 2020-01-06
Modeling Anomalous Diffusion From Statistics To Mathematics written by Weihua Deng and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-06 with Mathematics categories.
This book focuses on modeling the anomalous diffusion phenomena, being ubiquitous in the natural world. Both the microscopic models (stochastic processes) and macroscopic models (partial differential equations) have been built up. The relationships between the two kinds of models are clarified, and based on these models, some statistical observables are analyzed. From statistics to mathematics, the built models show their power with their associated applications.This book is important for students to develop basic skills to be able to succeed in their future research. In addition to introducing the related models or methods, it also provides the corresponding applications and simulation results, which will attract more readers ranging from mathematicians to physicists or chemists, to name a few.
Handbook Of Single Molecule Biophysics
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Author : Peter Hinterdorfer
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-24
Handbook Of Single Molecule Biophysics written by Peter Hinterdorfer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-24 with Science categories.
This handbook describes experimental techniques to monitor and manipulate individual biomolecules, including fluorescence detection, atomic force microscopy, and optical and magnetic trapping. It includes single-molecule studies of physical properties of biomolecules such as folding, polymer physics of protein and DNA, enzymology and biochemistry, single molecules in the membrane, and single-molecule techniques in living cells.
Fractals In Molecular Biophysics
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Author : T. Gregory Dewey
language : en
Publisher: Oxford University Press
Release Date : 1998-02-19
Fractals In Molecular Biophysics written by T. Gregory Dewey and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-02-19 with Science categories.
Historically, science has sought to reduce complex problems to their simplest components, but more recently it has recognized the merit of studying complex phenomena in situ. Fractal geometry is one such appealing approach, and this book discusses its application to complex problems in molecular biophysics. The book provides a detailed, unified treatment of fractal aspects of protein and structure dynamics, fractal reaction kinetics in biochemical systems, sequence correlations in DNA and proteins, and descriptors of chaos in enzymatic systems. In an area that has been slow to acknowledge the use of fractals, this is an important addition to the literature, offering a glimpse of the wealth of possible applications to complex problems.
The Langevin Equation
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Author : William Coffey
language : en
Publisher: World Scientific
Release Date : 2004
The Langevin Equation written by William Coffey and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.
This volume is the second edition of the first-ever elementary book on the Langevin equation method for the solution of problems involving the Brownian motion in a potential, with emphasis on modern applications in the natural sciences, electrical engineering and so on. It has been substantially enlarged to cover in a succinct manner a number of new topics, such as anomalous diffusion, continuous time random walks, stochastic resonance etc, which are of major current interest in view of the large number of disparate physical systems exhibiting these phenomena. The book has been written in such a way that all the material should be accessible to an advanced undergraduate or beginning graduate student. It draws together, in a coherent fashion, a variety of results which have hitherto been available only in the form of research papers or scattered review articles. Contents: Historical Background and Introductory Concepts; Langevin Equations and Methods of Solution; Brownian Motion of a Free Particle and a Harmonic Oscillator; Two-Dimensional Rotational Brownian Motion in N -Fold Cosine Potentials; Brownian Motion in a Tilted Cosine Potential: Application to the Josephson Tunnelling Junction; Translational Brownian Motion in a Double-Well Potential; Three-Dimensional Rotational Brownian Motion in an External Potential: Application to the Theory of Dielectric and Magnetic Relaxation; Rotational Brownian Motion in Axially Symmetric Potentials: Matrix Continued Fraction Solutions; Rotational Brownian Motion in Non-Axially Symmetric Potentials; Inertial Langevin Equations: Application to Orientational Relaxation in Liquids; Anomalous Diffusion. Readership: Advanced undergraduates, graduate students, academics and researchers in statistical physics, condensed matter physics and magnetism, the physics of fluids, theoretical chemistry and applied mathematics.
Fractional Derivative Modeling In Mechanics And Engineering
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Author : Wen Chen
language : en
Publisher: Springer Nature
Release Date : 2022-02-26
Fractional Derivative Modeling In Mechanics And Engineering written by Wen Chen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-26 with Mathematics categories.
This textbook highlights the theory of fractional calculus and its wide applications in mechanics and engineering. It describes in details the research findings in using fractional calculus methods for modeling and numerical simulation of complex mechanical behavior. It covers the mathematical basis of fractional calculus, the relationship between fractal and fractional calculus, unconventional statistics and anomalous diffusion, typical applications of fractional calculus, and the numerical solution of the fractional differential equation. It also includes latest findings, such as variable order derivative, distributed order derivative and its applications. Different from other textbooks in this subject, the book avoids lengthy mathematical demonstrations, and presents the theories in close connection to the applications in an easily readable manner. This textbook is intended for students, researchers and professionals in applied physics, engineering mechanics, and applied mathematics. It is also of high reference value for those in environmental mechanics, geotechnical mechanics, biomechanics, and rheology.
Fractals In Biology And Medicine
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Author : Gabriele A. Losa
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-08-18
Fractals In Biology And Medicine written by Gabriele A. Losa and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-18 with Mathematics categories.
This volume is number four in a series of proceedings volumes from the International Symposia on Fractals in Biology and Medicine in Ascona, Switzerland which have been inspired by the work of Benoît Mandelbrot seeking to extend the concepts towards the life sciences. It highlights the potential that fractal geometry offers for elucidating and explaining the complex make-up of cells, tissues and biological organisms either in normal or in pathological conditions.
Proceedings Of The International School On Magnetic Resonance And Brain Function Xiii Workshop
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Author : Itamar Ronen
language : en
Publisher: Frontiers Media SA
Release Date : 2021-08-19
Proceedings Of The International School On Magnetic Resonance And Brain Function Xiii Workshop written by Itamar Ronen and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-19 with Science categories.
Single Molecule Image Analysis
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Author : Christian Franke
language : en
Publisher: Frontiers Media SA
Release Date : 2022-12-15
Single Molecule Image Analysis written by Christian Franke and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-15 with Science categories.