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An Introduction to Anomalous Diffusion and Relaxation, Evangelista


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Автор: Evangelista
Название:  An Introduction to Anomalous Diffusion and Relaxation
ISBN: 9783031181498
Издательство: Springer
Классификация:



ISBN-10: 3031181492
Обложка/Формат: Hardback
Страницы: 400
Вес: 0.87 кг.
Дата издания: 16.01.2023
Серия: PoliTO Springer Series
Язык: English
Издание: 1st ed. 2023
Иллюстрации: 2 illustrations, color; 66 illustrations, black and white; xx, 400 p. 68 illus., 2 illus. in color.
Размер: 235 x 155
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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.
Дополнительное описание: Preface.- Integral Transforms and Special Functions.- Concepts in Diffusion and Stochastic Processes.- Random Walks.- Elements of Fractional Calculus.- Fractional Anomalous Diffusion.- Adsorption Phenomena and Anomalous Behavior.- Reaction-Diffusion Probl



Anomalous Relaxation in Colloidal Systems

Автор: Kumar
Название: Anomalous Relaxation in Colloidal Systems
ISBN: 3031132793 ISBN-13(EAN): 9783031132797
Издательство: Springer
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Цена: 22359.00 р.
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Описание: The thesis presents a systematic study of the Mpemba effect in a colloidal system with a micron-sized particle diffusing in a water bath. While the Mpemba effect, where a system’s thermal relaxation time is a non-monotonic function of the initial temperature, has been observed in water since Aristotle’s era, the underlying mechanism of the effect is still unknown. Recent studies indicate that the effect is not limited to water and has been studied both experimentally and numerically in a wide variety of systems. By carefully designing a double-well potential using feedback-based optical tweezers, the author demonstrates that an initially hot system can sometimes cool faster than an initially warm system. The author also presents the first observation in any system of another counterintuitive effect—the inverse Mpemba effect—where the colder of the two samples reaches the thermal equilibrium at a hot temperature first. The results for both the observations agree with theoretical predictions based on the Fokker-Planck equation. The experiments reveal that, for carefully chosen conditions, a strong version of both of the effects are observed where a system can relax to the bath temperature exponentially faster than under typical conditions.

Anomalous Diffusion

Автор: Andrzej Pekalski; Katarzyna Sznajd-Weron
Название: Anomalous Diffusion
ISBN: 3662142422 ISBN-13(EAN): 9783662142424
Издательство: Springer
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Цена: 15672.00 р.
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Описание: Levy 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.

Measurement of Higgs Boson Production Cross Sections in the Diphoton Channel: with the full ATLAS Run-2 Data and Constraints on Anomalous Higgs Boson

Автор: Tarek Abouelfadl Mohamed Ahmed
Название: Measurement of Higgs Boson Production Cross Sections in the Diphoton Channel: with the full ATLAS Run-2 Data and Constraints on Anomalous Higgs Boson
ISBN: 3030595188 ISBN-13(EAN): 9783030595180
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This thesis presents the measurement of the Higgs boson cross section in the diphoton decay channel. The thesis details the calibration of electron and photon energies in ATLAS, in particular the measurement of the presampler energy scale and the estimation of its systematic uncertainty.

Transport Properties in Non-Equilibrium and Anomalous Systems

Автор: Dario Villamaina
Название: Transport Properties in Non-Equilibrium and Anomalous Systems
ISBN: 3319349805 ISBN-13(EAN): 9783319349800
Издательство: Springer
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Цена: 13059.00 р.
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Описание: Unraveling some of the complexities of describing systems destabilized by flowing currents, this notable thesis uses data derived from granular materials and anomalously diffused systems to prove the predictive capabilities of generalized response techniques.

Distributions in the Physical and Engineering Sciences, Volume 3

Автор: Alexander I. Saichev; Wojbor A. woyczy?ski
Название: Distributions in the Physical and Engineering Sciences, Volume 3
ISBN: 3030064670 ISBN-13(EAN): 9783030064679
Издательство: Springer
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Цена: 9083.00 р.
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Описание: Continuing the authors’ multivolume project, this text considers the theory of distributions from an applied perspective, demonstrating how effective a combination of analytic and probabilistic methods can be for solving problems in the physical and engineering sciences. Volume 1 covered foundational topics such as distributional and fractional calculus, the integral transform, and wavelets, and Volume 2 explored linear and nonlinear dynamics in continuous media. With this volume, the scope is extended to the use of distributional tools in the theory of generalized stochastic processes and fields, and in anomalous fractional random dynamics.

Chapters cover topics such as probability distributions; generalized stochastic processes, Brownian motion, and the white noise; stochastic differential equations and generalized random fields; Burgers turbulence and passive tracer transport in Burgers flows; and linear, nonlinear, and multiscale anomalous fractional dynamics in continuous media. The needs of the applied-sciences audience are addressed by a careful and rich selection of examples arising in real-life industrial and scientific labs and a thorough discussion of their physical significance. Numerous illustrations generate a better understanding of the core concepts discussed in the text, and a large number of exercises at the end of each chapter expand on these concepts.
Distributions in the Physical and Engineering Sciences is intended to fill a gap in the typical undergraduate engineering/physical sciences curricula, and as such it will be a valuable resource for researchers and graduate students working in these areas. The only prerequisites are a three-four semester calculus sequence (including ordinary differential equations, Fourier series, complex variables, and linear algebra), and some probability theory, but basic definitions and facts are covered as needed. An appendix also provides background material concerning the Dirac-delta and other distributions.
Measurement of Higgs Boson Production Cross Sections in the Diphoton Channel: With the Full Atlas Run-2 Data and Constraints on Anomalous Higgs Boson

Автор: Tarek Abouelfadl Mohamed Ahmed
Название: Measurement of Higgs Boson Production Cross Sections in the Diphoton Channel: With the Full Atlas Run-2 Data and Constraints on Anomalous Higgs Boson
ISBN: 3030595153 ISBN-13(EAN): 9783030595159
Издательство: Springer
Цена: 13974.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This thesis presents the measurement of the Higgs boson cross section in the diphoton decay channel. The thesis details the calibration of electron and photon energies in ATLAS, in particular the measurement of the presampler energy scale and the estimation of its systematic uncertainty.

Fractional Dynamics, Anomalous Transport and Plasma Science

Автор: Christos H. Skiadas
Название: Fractional Dynamics, Anomalous Transport and Plasma Science
ISBN: 3030044823 ISBN-13(EAN): 9783030044824
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This book collects interrelated lectures on fractal dynamics, anomalous transport and various historical and modern aspects of plasma sciences and technology. The origins of plasma science in connection to electricity and electric charges and devices leading to arc plasma are explored in the first contribution by Jean-Marc Ginoux and Thomas Cuff. The second important historic connection with plasmas was magnetism and the magnetron. Victor J. Law and Denis P. Dowling, in the second contribution, review the history of the magnetron based on the development of thermionic diode valves and related devices. In the third chapter, Christos H Skiadas and Charilaos Skiadas present and apply diffusion theory and solution strategies to a number of stochastic processes of interest. Anomalous diffusion by the fractional Fokker-Planck equation and L?vy stable processes are studied by Johan Anderson and Sara Moradi in the fourth contribution. They consider the motion of charged particles in a 3-dimensional magnetic field in the presence of linear friction and of a stochastic electric field. Analysis of low-frequency instabilities in a low-temperature magnetized plasma is presented by Dan-Gheorghe Dimitriu, Maricel Agop in the fifth chapter. The authors refer to experimental results of the Innsbruck Q-machine and provide an analytical formulation of the related theory. In chapter six, Stefan Irimiciuc, Dan-Gheorghe Dimitriu, Maricel Agop propose a theoretical model to explain the dynamics of charged particles in a plasma discharge with a strong flux of electrons from one plasma structure to another. The theory and applications of fractional derivatives in many-particle disordered large systems are explored by Z.Z. Alisultanov, A.M. Agalarov, A.A. Potapov, G.B. Ragimkhanov. In chapter eight, Maricel Agop, Alina Gavrilut? and Gabriel Crumpei explore the motion of physical systems that take place on continuous but non-differentiable curves (fractal curves). Finally in the last chapter S.L. Cherkas and V.L. Kalashnikov consider the perturbations of a plasma consisting of photons, baryons, and electrons in a linearly expanding (Milne-like) universe taking into account the metric tensor and vacuum perturbations.

Anomalous X-Ray Scattering for Materials Characterization

Автор: Yoshio Waseda
Название: Anomalous X-Ray Scattering for Materials Characterization
ISBN: 3662146371 ISBN-13(EAN): 9783662146378
Издательство: Springer
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Цена: 32142.00 р.
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Описание: The second generation amorphous alloys, called "bulk amorphous alloys", have been discovered in some Pd based and Zr based alloy systems, with a super cooled liquid region at more than 120 K.

Random Walk and Diffusion Models

Автор: Schwarz
Название: Random Walk and Diffusion Models
ISBN: 303112099X ISBN-13(EAN): 9783031120992
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book offers an accessible introduction to random walk and diffusion models at a level consistent with the typical background of students in the life sciences. In recent decades these models have become widely used in areas far beyond their traditional origins in physics, for example, in studies of animal behavior, ecology, sociology, sports science, population genetics, public health applications, and human decision making. Developing the main formal concepts, the book provides detailed and intuitive step-by-step explanations, and moves smoothly from simple to more complex models. Finally, in the last chapter, some successful and original applications of random walk and diffusion models in the life and behavioral sciences are illustrated in detail. The treatment of basic techniques and models is consolidated and extended throughout by a set of carefully chosen exercises.


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