Hysteresis and Phase Transition in Many-particle Storage Systems PDF Download
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Author: Wolfgang Dreyer
Publisher:
ISBN:
Category :
Languages : en
Pages : 27
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Author: Wolfgang Dreyer
Publisher:
ISBN:
Category :
Languages : en
Pages : 27
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Author: Tatsien Li
Publisher: World Scientific
ISBN: 9814417106
Category : Mathematics
Languages : en
Pages : 793
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Book Description
This two-volume book is devoted to mathematical theory, numerics and applications of hyperbolic problems. Hyperbolic problems have not only a long history but also extremely rich physical background. The development is highly stimulated by their applications to Physics, Biology, and Engineering Sciences; in particular, by the design of effective numerical algorithms. Due to recent rapid development of computers, more and more scientists use hyperbolic partial differential equations and related evolutionary equations as basic tools when proposing new mathematical models of various phenomena and related numerical algorithms.This book contains 80 original research and review papers which are written by leading researchers and promising young scientists, which cover a diverse range of multi-disciplinary topics addressing theoretical, modeling and computational issues arising under the umbrella of ';Hyperbolic Partial Differential Equations';. It is aimed at mathematicians, researchers in applied sciences and graduate students.
Author: Martin Brokate
Publisher: Springer Science & Business Media
ISBN: 1461240484
Category : Mathematics
Languages : en
Pages : 368
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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: Augusto Visintin
Publisher: Springer
ISBN: 354048678X
Category : Mathematics
Languages : en
Pages : 301
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Book Description
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: Michael C. Mikulis
Publisher:
ISBN:
Category :
Languages : en
Pages : 304
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Author: Martin Brokate
Publisher:
ISBN: 9781461240495
Category :
Languages : en
Pages : 372
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 291
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Author: T. Riste
Publisher: Springer Science & Business Media
ISBN: 9401119082
Category : Science
Languages : en
Pages : 456
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Book Description
Systems with competing energy scales are widespread and exhibit rich and subtle behaviour, although their systematic study is a relatively recent activity. This text presents lectures given at a NATO Advanced Study Institute reviewing the current knowledge and understanding of this fascinating subject, particularly with regard to phase transitions and dynamics, at an advanced tutorial level. Both general and specific aspects are considered, with competitions having several origins; differences in intrinsic interactions, interplay between intrinsic and extrinsic effects, such as geometry and disorder; irreversibility and non-equilibration. Among the specific physical application areas are supercooled liquids and glasses, high-temperature superconductors, flux or vortex pinning and motion, charge density waves, domain growth and coarsening, and electron solidification.
Author: Boris M. Smirnov
Publisher: Springer Science & Business Media
ISBN: 3540715142
Category : Science
Languages : en
Pages : 249
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Book Description
This monograph develops a unified microscopic basis for phases and phase changes of bulk matter and small systems, based on classical physics. It describes the thermodynamics of ensembles of particles and explains phase transition in gaseous and liquid systems. The origins are derived from simple but physically relevant models of how transitions occur between rigid and fluid states, of how phase equilibria arise, and how they differ for small and large systems.
Author: Centro internazionale matematico estivo
Publisher:
ISBN: 9780387583860
Category :
Languages : en
Pages :
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