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Saturday, August 8, 2020 | History

6 edition of Anomalous diffusion found in the catalog.

Anomalous diffusion

from basics to applications : proceedings of the XIth Max Born Symposium held at Warsaw, Poland, 20-27 May, 1998

by Max Born Symposium (11th 1998 Warsaw, Poland)

  • 395 Want to read
  • 19 Currently reading

Published by Springer in Berlin, New York .
Written in English

    Subjects:
  • Diffusion -- Congresses.,
  • Statistical physics -- Congresses.

  • Edition Notes

    Includes bibliographical references.

    StatementAndrzej Pękalski, Katarzyna Sznajd-Weron (eds.).
    SeriesLecture notes in physics,, v. 519
    ContributionsPękalski, Andrzej., Sznajd-Weron, Katarzyna, 1971-
    Classifications
    LC ClassificationsQC189.A1 M38 1998
    The Physical Object
    Paginationxviii, 378 p. :
    Number of Pages378
    ID Numbers
    Open LibraryOL389172M
    ISBN 10354065416X
    LC Control Number98053206

      Stochastic Foundations in Movement Ecology: Anomalous Diffusion, Front Propagation and Random Searches (Springer Series in Synergetics) by Vicenç Méndez, Daniel Campos, Frederic Bartumeus Free PDF d0wnl0ad, audio books, books to read, good books to read, cheap books, good books, online books, books online, book reviews epub, read books online. 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.

    Anomalous Diffusion From Basics to Applications Proceedings of the Xlth Max Born Symposium Held at Ladek Zdröj, Poland, May f Springer Librarians please note that this changes the categorization of this book. The Diffusion equation is introduced in the final section, where the anomalous form of the solution of the equation when there are external forces provides the rationale for the following chapter. Chapter 4 – Fractional Diffusion Equations: Elementary Applications.

    This multi-author reference work provides a unique introduction to the currently emerging, highly interdisciplinary field of those transport processes that cannot be described by using standard methods of statistical mechanics. It comprehensively summarizes topics ranging from mathematical foundations of anomalous dynamics to the most recent experiments in this field. In so doing, this. In this book, we will see how fractional calculus and anomalous diffusion can be understood at a deep and intuitive level, using ideas from probability. It covers basic limit theorems for random variables and random vectors with heavy tails. This includes regular variation, triangular arrays, infinitely divisible laws, random walks, and.


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Anomalous diffusion by Max Born Symposium (11th 1998 Warsaw, Poland) Download PDF EPUB FB2

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 Cited by: The research of anomalous diffusion of particles with new constitutive relations has attracted much attention in recent years.

A large number of mathematical models have been proposed, among them, the comb structure model (Arkhincheev, ; Iomin, ) shown in Fig. Anomalous diffusion book one of the most significant models that can be used to simulate the transport process of particles well.

A contemporary treatment of anomalous diffusion, this book examines the recent literature in the field 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 Cited by: Anomalous Diffusion (Lecture Notes in Physics ()) Softcover reprint of the original 1st ed.

Edition by Andrzej Pekalski (Author) ISBN ISBN Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book Format: Paperback. 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.

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.

Specifically, the recent book by Evangelista and Lenzi [38] describes how power-law models and fractional calculus can provide links between material structure and anomalous diffusion.

The focus. General discussion of the anomalous diffusion is contained in the work by Bouchaud and Georges. The classical review of the percolation theory is given in the book of Stauffer and Aharony. Some additional information on anomalous diffusion in percolation systems can be found in the review by Isichenko.

Anomalous diffusion in Purkinje cell spiny dendrites. Our modeling results indicate that the presence of dendritic spines should generate anomalous diffusion in dendrites. We tested this possibility experimentally by comparing the spread of FD fluorescence signals in spiny and smooth dendrites of living by:   The book first introduces 'anomalous diffusion' from the statistical physics point of view, then discusses the models characterizing anomalous diffusion and its applications, including the Fokker–Planck equation, the Feymann–Kac equations describing the functional distribution of the anomalous trajectories of the particles, and also the.

A contemporary treatment of anomalous diffusion, this book examines the recent literature in the field and covers a rich class of problems in which surface effects are important, offering detailed Read more. The fractional diffusion operators considered herein appear naturally in the study in hydrodynamics,[7]as well as anomalous diffusion in semiconductor growth, [20].

There are also other models in. Different domains of anomalous diffusion, defined through the mean squared displacement, Eq. (5), parametrised by the anomalous diffusion exponent α: (a) subdiffusion for On the threshold between sub- and superdiffusion is the normal Brownian diffusion located.

Another special case is ballistic motion (α=2).Cited by: Fractional Diffusion Equations and Anomalous Diffusion Luiz Roberto Evangelista, Ervin Kaminski Lenzi 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.

Get this from a library. Fractional diffusion equations and anomalous diffusion. [L R Evangelista; Ervin Kaminski Lenzi] -- Anomalous diffusion has been detected in a wide variety of scenarios, from fractal media, systems with memory, transport processes in porous.

This book presents the fundamental theory for non-standard diffusion problems in movement ecology. Lévy processes and anomalous diffusion have shown to be both powerful and useful tools for qualitatively and quantitatively describing a wide variety of spatial population ecological phenomena and dynamics, such as invasion fronts and search strategies.

Today anomalous diffusion typically refers to the power-law form** 〈x 2 (t)〉 ≃ K α t α (8) of the MSD with the anomalous diffusion exponent α and the generalised diffusion coefficient K α of physical dimension cm 2 (s α) −1.

This is what we refer to in the following, distinguishing subdiffusion (0 1). The effects of anomalous diffusion on the dynamics of simple elementary reactions of biological interest have recently attracted the interest of several groups (20–23) (see Ben-Avraham and Havlin (24) for a book on elemen-tary irreversible reactions).

In the case of the binary reac-tion AþB / products, for instance, anomalous diffusion. Part II covers anomalous diffusion in fractals and disordered media, while Part III serves as an introduction to the kinetics of diffusion-limited reactions. Part IV discusses the problem of diffusion-limited coalescence in one dimension.

This book will be of particular interest to researchers requiring a clear introduction to the by: Other articles where Anomalous dispersion is discussed: radiation: Dispersion: the latter phenomenon is called anomalous dispersion. A refractive index less than unity refers correctly to the fact that the speed of light in the medium at that frequency is greater than the speed of light in vacuum.

The velocity referred to, however, is the phase velocity or the velocity. Anomalous Diffusions and Fractional Order Differential Equations Zhen-Qing Chen Zhen-Qing Chen University of Washington Anomalous Diffusions and Fractional Order Differential Equations.

Brownian Motion • British botanist Robert Brown (), Another. This is an easy-to-read introduction to foundations of deterministic chaos, deterministic diffusion and anomalous diffusion.

The first part introduces to deterministic chaos in one-dimensional maps in form of Ljapunov exponents and dynamical entropies. The second part outlines the concept of deterministic diffusion. Then the escape rate formalism for deterministic diffusion, which expresses Cited by: 7.

The book will be of interest to both theorists and experimentalists in nonlinear dynamics, statistical physics and stochastic processes. It also forms an ideal starting point for graduate students moving into this area.

18 chapters written by internationally recognized experts in this field provide in-depth introductions to fundamental aspects.