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:
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.
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:
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.
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.
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.
Download or read book Elements of Phase Transitions and Critical Phenomena written by Hidetoshi Nishimori and published by Oxford University Press. This book was released on 2011 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an introductory account of the theory of phase transitions and critical phenomena, this book reflects lectures given by the authors to graduate students at their departments and is thus classroom-tested to help beginners enter the field. Most parts are written as self-contained units and every new concept or calculation is explained in detail without assuming prior knowledge of the subject. The book significantly enhances and revises a Japanese version which is a bestseller in the Japanese market and is considered a standard textbook in the field. It contains new pedagogical presentations of field theory methods, including a chapter on conformal field theory, and various modern developments hard to find in a single textbook on phase transitions. Exercises are presented as the topics develop, with solutions found at the end of the book, making the text useful for self-teaching, as well as for classroom learning.
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.
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.
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.
Download or read book Hysteresis Effects and Dynamics of Phase Transitions in Shape Memory Materials with Differential Algebraic Models written by R.V.N. Melnik and published by . This book was released on 2018 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dynamics of phase transitions and hysteresis phenomena in materials with memory is described by a strongly nonlinear coupled system of partial differential equations which, in its generality, can be solved only numerically. Following principles of extended thermodynamics, in this paper we construct a new model for the description of this dynamics based on the Cattaneo-Vernotte law for heat conduction. Models based on the Fourier law follow from this general consideration as special cases. We develop a general procedure for the solution of the resulting systems by their reduction to differential-algebraic systems. Finally, a computational code for the numerical implementation of this procedure is explained in detail, and representative numerical examples are given.
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:
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 1991 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a graduate course on phase transitions at the Universidad Autonoma de Madrid, in 1989. Presents a simple explanation of the effective field approach to investigate phase transitions, a well established procedure. Applies the method to a few phase transitions, mostly solid state, with special attention to ferroelectric systems. Acidic paper. Annotation copyrighted by Book News, Inc., Portland, OR
Download or read book Absolute coverages and hysteresis phenomena associated with the co induced pt 100 hex 1x1 phase transition written by T. E. Jackman and published by . This book was released on 1983 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Phase Transitions and Hysteresis written by Centro internazionale matematico estivo and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Effective Field Approach To Phase Transitions And Some Applications To Ferroelectrics 2nd Edition written by Julio A Gonzalo and published by World Scientific. This book was released on 2006-08-24 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.
Download or read book Phase Transitions and Critical Phenomena written by and published by Elsevier. This book was released on 2000-09-21 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of phase transitions and critical phenomena continues to be active in research, producing a steady stream of interesting and fruitful results. It has moved into a central place in condensed matter studies.Statistical physics, and more specifically, the theory of transitions between states of matter, more or less defines what we know about 'everyday' matter and its transformations.The major aim of this serial is to provide review articles that can serve as standard references for research workers in the field, and for graduate students and others wishing to obtain reliable information on important recent developments.
