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Author : M. Brokate
Publisher :
ISBN 13 : 9783540547921
Total Pages : 300 pages
Book Rating : 4.5/5 (479 download)
Download or read book Hysteresis Phenomena in Phase Transitions. written by M. Brokate and published by . This book was released on 1995-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin Brokate
Publisher : Springer Science & Business Media
ISBN 13 : 1461240484
Total Pages : 368 pages
Book Rating : 4.4/5 (612 download)
Download or read book Hysteresis and Phase Transitions written by Martin Brokate and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hysteresis is an exciting and mathematically challenging phenomenon that oc curs in rather different situations: jt, can be a byproduct offundamental physical mechanisms (such as phase transitions) or the consequence of a degradation or imperfection (like the play in a mechanical system), or it is built deliberately into a system in order to monitor its behaviour, as in the case of the heat control via thermostats. The delicate interplay between memory effects and the occurrence of hys teresis loops has the effect that hysteresis is a genuinely nonlinear phenomenon which is usually non-smooth and thus not easy to treat mathematically. Hence it was only in the early seventies that the group of Russian scientists around M. A. Krasnoselskii initiated a systematic mathematical investigation of the phenomenon of hysteresis which culminated in the fundamental monograph Krasnoselskii-Pokrovskii (1983). In the meantime, many mathematicians have contributed to the mathematical theory, and the important monographs of 1. Mayergoyz (1991) and A. Visintin (1994a) have appeared. We came into contact with the notion of hysteresis around the year 1980.
Author : Martin Brokate
Publisher :
ISBN 13 : 9781461240495
Total Pages : 372 pages
Book Rating : 4.2/5 (44 download)
Download or read book Hysteresis and Phase Transitions written by Martin Brokate and published by . This book was released on 1996-06-20 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin Brokate
Publisher : Springer Verlag
ISBN 13 : 9780387583860
Total Pages : 291 pages
Book Rating : 4.5/5 (838 download)
Download or read book Phase Transitions and Hysteresis written by Martin Brokate and published by Springer Verlag. This book was released on 1994-01-01 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1) Phase Transitions, represented by generalizations of the classical Stefan problem. This is studied by Kenmochi and Rodrigues by means of variational techniques.2) Hysteresis Phenomena. Some alloys exhibit shape memory effects, corresponding to a stress-strain relation which strongly depends on temperature; mathematical physical aspects are treated in MA1/4ller's paper. In a general framework, hysteresis can be described by means of hysteresis operators in Banach spaces of time dependent functions; their properties are studied by Brokate.3) Numerical analysis. Several models of the phenomena above can be formulated in terms of nonlinear parabolic equations. Here Verdi deals with the most updated approximation techniques.
Author : Augusto Visintin
Publisher : Springer
ISBN 13 : 354048678X
Total Pages : 301 pages
Book Rating : 4.5/5 (44 download)
Download or read book Phase Transitions and Hysteresis written by Augusto Visintin and published by Springer. This book was released on 2006-11-15 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1) Phase Transitions, represented by generalizations of the classical Stefan problem. This is studied by Kenmochi and Rodrigues by means of variational techniques. 2) Hysteresis Phenomena. Some alloys exhibit shape memory effects, corresponding to a stress-strain relation which strongly depends on temperature; mathematical physical aspects are treated in Müller's paper. In a general framework, hysteresis can be described by means of hysteresis operators in Banach spaces of time dependent functions; their properties are studied by Brokate. 3) Numerical analysis. Several models of the phenomena above can be formulated in terms of nonlinear parabolic equations. Here Verdi deals with the most updated approximation techniques.
Author : Mark A. Krasnosel'skii
Publisher : Springer Science & Business Media
ISBN 13 : 3642613020
Total Pages : 429 pages
Book Rating : 4.6/5 (426 download)
Download or read book Systems with Hysteresis written by Mark A. Krasnosel'skii and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hysteresis phenomena are common in numerous physical, mechanical, ecological and biological systems. They reflect memory effects and process irreversibility. The use of hysteresis operators (hysterons) offers an approach to macroscopic modelling of the dynamics of phase transitions and rheological systems. The applications cover processes in electromagnetism, elastoplasticity and population dynamics in particular. Hysterons are also typical elements of control systems where they represent thermostats and other discontinuous controllers with memory. The book offers the first systematic mathematical treatment of hysteresis nonlinearities. Construction procedures are set up for hysterons in various function spaces, in continuous and discontinuous cases. A general theory of variable hysterons is developed, including identification and stability questions. Both deterministic and non-deterministic hysterons are considered, with applications to the study of feedback systems. Many of the results presented - mostly obtained by the authors and their scientific group - have not been published before. The book is essentially self contained and is addressed both to researchers and advanced students.
Author :
Publisher :
ISBN 13 :
Total Pages : 291 pages
Book Rating : 4.:/5 (61 download)
Download or read book Phase Transitions and Hysteresis written by and published by . This book was released on 1994 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I. D. Mayergoyz
Publisher : Gulf Professional Publishing
ISBN 13 : 9780123694324
Total Pages : 664 pages
Book Rating : 4.6/5 (943 download)
Download or read book The Science of Hysteresis: Physical modeling, micromagnetics, and magnetization dynamics written by I. D. Mayergoyz and published by Gulf Professional Publishing. This book was released on 2006 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1 covers: * Mathematical models * Differential equations * Stochastic aspects of hysteresis * Binary detection using hysteresis * Models of unemployment in economics Volume 2 covers: * Physical models of magnetic hysteresis * All aspects of magnetisation dynamics Volume 3 covers: * Hysteresis phenomena in materials * Over 2100 pages, rich with supporting illustrations, figures and equations * Contains contributions from an international list of authors, from a wide-range of disciplines * Covers all aspects of hysteresis - from differential equations, and binary detection, to models of unemployment and magnetisation dynamics.
Author : Augusto Visintin
Publisher : Springer
ISBN 13 : 9783662213742
Total Pages : 296 pages
Book Rating : 4.2/5 (137 download)
Download or read book Phase Transitions and Hysteresis written by Augusto Visintin and published by Springer. This book was released on 2014-03-12 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1) Phase Transitions, represented by generalizations of the classical Stefan problem. This is studied by Kenmochi and Rodrigues by means of variational techniques. 2) Hysteresis Phenomena. Some alloys exhibit shape memory effects, corresponding to a stress-strain relation which strongly depends on temperature; mathematical physical aspects are treated in Müller's paper. In a general framework, hysteresis can be described by means of hysteresis operators in Banach spaces of time dependent functions; their properties are studied by Brokate. 3) Numerical analysis. Several models of the phenomena above can be formulated in terms of nonlinear parabolic equations. Here Verdi deals with the most updated approximation techniques.
Author : Daivd P Belanger
Publisher : World Scientific
ISBN 13 : 981125950X
Total Pages : 246 pages
Book Rating : 4.8/5 (112 download)
Download or read book Magnetic Phase Transitions In Single Crystals written by Daivd P Belanger and published by World Scientific. This book was released on 2022-07-27 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Magnetic crystals are ideal systems to study the universal properties of phase transitions, particularly systems with quenched randomness and frustration. Pure systems with different symmetries provide the foundation for studies in corresponding systems with quenched randomness. Because phenomena near phase transitions have universal properties, results from bulk magnetic crystals provide a basis for understanding phase transitions in films and nanoparticles, as well as many non-magnetic materials.This motivates the subject of this book, which discusses phase transitions studies in magnetic crystals from the perspective of an experimentalist who has done extensive work in the field. The advantage is that many experimental techniques are described in sufficient detail for a good understanding of the results and their comparison to theory.
Author : Chintamani Nagesa Ramachandra Rao
Publisher : McGraw-Hill Companies
ISBN 13 :
Total Pages : 346 pages
Book Rating : 4.:/5 (319 download)
Download or read book Phase Transitions in Solids written by Chintamani Nagesa Ramachandra Rao and published by McGraw-Hill Companies. This book was released on 1978 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Julio Antonio Gonzalo
Publisher : World Scientific
ISBN 13 : 9812773126
Total Pages : 469 pages
Book Rating : 4.8/5 (127 download)
Download or read book Effective Field Approach to Phase Transitions and Some Applications to Ferroelectrics written by Julio Antonio Gonzalo and published by World Scientific. This book was released on 2006 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book begins by introducing the effective field approach, the simplest approach to phase transitions. It provides an intuitive approximation to the physics of such diverse phenomena as liquid-vapor transitions, ferromagnetism, superconductivity, order-disorder in alloys, ferroelectricity, superfluidity and ferroelasticity. The connection between the effective field approach and Landau's theory is stressed. The main coverage is devoted to specific applications of the effective field concept to ferroelectric systems, both hydrogen bonded ferroelectrics, like those in the TGS family, and oxide ferroelectrics, like pure and mixed perovskites. Sample Chapter(s). Chapter 1: An Overview (310 KB). Contents: Mean Field Approach to Cooperative Phenomena; Some Applications to Ferroelectrics: 1970OCo1991; Some Applications to Ferroelectrics: 1991OCo1997; Some Applications to Ferroelectrics: 1998OCo2005. Readership: Materials scientists, physicists and chemists in academy and industry; final year undergraduates and graduates in materials science."
Author : Harry Eugene Stanley
Publisher :
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.0/5 ( download)
Download or read book Introduction to Phase Transitions and Critical Phenomena written by Harry Eugene Stanley and published by . This book was released on 1971 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1971, this highly popular text is devoted to the interdisciplinary area of critical phenomena, with an emphasis on liquid-gas and ferromagnetic transitions. Advanced undergraduate and graduate students in thermodynamics, statistical mechanics, and solid state physics, aswell as researchers in physics, mathematics, chemistry, and materials science, will welcome this paperback edition of Stanley's acclaimed text.
Author : Julio A Gonzalo
Publisher : World Scientific Publishing Company
ISBN 13 : 9813104376
Total Pages : 238 pages
Book Rating : 4.8/5 (131 download)
Download or read book Effective Field Approach to Phase Transitions and Some Applications to Ferroelectrics written by Julio A Gonzalo and published by World Scientific Publishing Company. This book was released on 1991-05-07 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first half of the book presents the effective field approach, which is certainly the simplest approach to investigate cooperative phenomena and the accompanying phase transitions. It provides a common, intuitive approximation to the physics of such diverse phenomena as liquid-vapor transitions, ferromagnetism, superconductivity, order-disorder in alloys, ferroelectricity, superfluidity and ferroelasticity. The connection between the effective field approach and Landau's phenomenological theory is stressed. The latter half is devoted to some specific applications of the effective field concept to ferroelectric systems. Contents:Mean Field Approach to Cooperative Phenomena:An OverviewLiquid-Vapour TransitionsFerromagnetic TransitionsSuperconductive TransitionsOrder-Disorder Transitions in AlloysFerroelectric TransitionsSuperfluid TransitionsFerroelastic TransitionsLandau Theory and Effective Field Approach. Role of FluctuationsEquation of State and the Scaling FunctionAppendix: Effective Field Approach to Superconductors and SuperfluidsSome Application to Ferroelectric Systems:Behaviour at T ≊ Tc of Pure Ferroelectric Systems with Second-Order Phase TransitionEffects of Dipolar Impurities in Small AmountsMixed Ferro-Antiferroelectric Systems and other Mixed Ferroelectric SystemsComments on “Ferroelectricity in Zinc Cadmium Telluride“ Relaxation Phenomena near TcPolarization Reversal in Ferroelectric SystemsPolarization Switching by Domain Wall MotionSwitching Current Pulse ShapeElementary Excitations in Ferroelectrics: Dipole WavesLow Temperature Behaviour of FerroelectricsLogarithmic Corrections Readership: Condensed matter physicists, statistical physicists and physical chemists.
Author : Pierluigi Colli
Publisher : World Scientific
ISBN 13 : 9812566503
Total Pages : 321 pages
Book Rating : 4.8/5 (125 download)
Download or read book Dissipative Phase Transitions written by Pierluigi Colli and published by World Scientific. This book was released on 2006 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase transition phenomena arise in a variety of relevant real world situations, such as melting and freezing in a solid-liquid system, evaporation, solid-solid phase transitions in shape memory alloys, combustion, crystal growth, damage in elastic materials, glass formation, phase transitions in polymers, and plasticity.The practical interest of such phenomenology is evident and has deeply influenced the technological development of our society, stimulating intense mathematical research in this area.This book analyzes and approximates some models and related partial differential equation problems that involve phase transitions in different contexts and include dissipation effects.
Author : A. R. Bishop
Publisher : CRC Press
ISBN 13 : 9782881241215
Total Pages : 326 pages
Book Rating : 4.2/5 (412 download)
Download or read book Special Issue on Incommensurate Phase Transitions written by A. R. Bishop and published by CRC Press. This book was released on 1986 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tormod Riste
Publisher : Springer Science & Business Media
ISBN 13 : 1468441272
Total Pages : 479 pages
Book Rating : 4.4/5 (684 download)
Download or read book Nonlinear Phenomena at Phase Transitions and Instabilities written by Tormod Riste and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: This NATO Advanced Study Institute, held in Geilo between March 29th and April 9th 1981, was the sixth in a series devoted to the subject of phase transitions and instabilities. The present institute was intended to provide a forum for discussion of the importance of nonlinear phenomena associated with instabilities in systems as seemingly disparate as ferroelectrics and rotating buckets of oil. Ten years ago, at the first Geilo school, the report of a central peak in the fluctuation spectrum of SrTi0 close to its 3 106 K structural phase transition demonstrated that the simple soft-mode theory of such transitions was incomplete. The missing ingredient was the essential nonlinearity of the system. Parti cipants at this year's Geilo school heard assessments of a decade of experimental and theoretical effort which has been expended to elucidate the nature of this nonlinearity. The importance of order ed clusters and the walls which bound them was stressed in this con text. A specific type of wall, the soliton, was discussed by a number of speakers. New experimental results which purport to demonstrate the existence of solitons in a one-dimensional ferromagnet were presented. A detailed discussion was given of the role of solitons in transport phenomena in driven multistable systems, typified by a sine-Gordon chain.
