Thermomechanics Of Phase Transitions In Classical Field Theory

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Thermomechanics Of Phase Transitions In Classical Field Theory

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Author : Ingo Claben
language : en
Publisher: World Scientific
Release Date : 1993-11-30

Thermomechanics Of Phase Transitions In Classical Field Theory written by Ingo Claben and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-11-30 with Mathematics categories.

The complex processes of state changes can be interpreted by resorting to Statistical Quantum Mechanics. However, it is well known that a phenomenological description of state changes can be obtained by using the classical continuum theory. This book supplies a panoramic picture of known and new mathematical models which are suitable to describe phase changes from a macroscopic view point. All these models are derived from the theory of continuous systems with a nonmaterial interface and allow to describe processes of solidification, melting, and vaporization. The nonlocal continuum theory of systems with a non material interface provides a more complex mathematical model in dealing with crystal growth either in a pure melt or in a mixture. A chapter is devoted to the analysis of phase changes in ferroelectric and ferromagnetic crystals.

Thermomechanics Of Phase Transitions In Classical Field Theory

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Author : Antonio Romano
language : en
Publisher: World Scientific
Release Date : 1993

Thermomechanics Of Phase Transitions In Classical Field Theory written by Antonio Romano and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Science categories.

The complex processes of state changes can be interpreted by resorting to Statistical Quantum Mechanics. However, it is well known that a phenomenological description of state changes can be obtained by using the classical continuum theory. This book supplies a panoramic picture of known and new mathematical models which are suitable to describe phase changes from a macroscopic view point. All these models are derived from the theory of continuous systems with a nonmaterial interface and allow to describe processes of solidification, melting, and vaporization. The nonlocal continuum theory of systems with a non material interface provides a more complex mathematical model in dealing with crystal growth either in a pure melt or in a mixture. A chapter is devoted to the analysis of phase changes in ferroelectric and ferromagnetic crystals.

Models Of Phase Transitions

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Author : Augusto Visintin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Models Of Phase Transitions written by Augusto Visintin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

... "What do you call work?" "Why ain't that work?" Tom resumed his whitewashing, and answered carelessly: "Well. lI1a), he it is, and maybe it aill't. All I know, is, it suits Tom Sawvc/:" "Oil CO/lll!, IIOW, Will do not mean to let 011 that you like it?" The brush continued to move. "Likc it? Well, I do not see wlzy I oughtn't to like it. Does a hoy get a chance to whitewash a fence every day?" That put the thing ill a Ilew light. Ben stopped nibhling the apple ... (From Mark Twain's Adventures of Tom Sawyer, Chapter II.) Mathematics can put quantitative phenomena in a new light; in turn applications may provide a vivid support for mathematical concepts. This volume illustrates some aspects of the mathematical treatment of phase transitions, namely, the classical Stefan problem and its generalizations. The in tended reader is a researcher in application-oriented mathematics. An effort has been made to make a part of the book accessible to beginners, as well as physicists and engineers with a mathematical background. Some room has also been devoted to illustrate analytical tools. This volume deals with research I initiated when I was affiliated with the Istituto di Analisi Numerica del C.N.R. in Pavia, and then continued at the Dipartimento di Matematica dell'Universita di Trento. It was typeset by the author in plain TEX

Phase Transitions In Materials

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Author : Brent Fultz
language : en
Publisher: Cambridge University Press
Release Date : 2014-08-14

Phase Transitions In Materials written by Brent Fultz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-14 with Science categories.

A clear, concise and rigorous textbook covering phase transitions in the context of advances in electronic structure and statistical mechanics.

Parallel And Distributed Signal And Image Integration Problems Proceedings Of The Indo Us Workshop

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Author : Rabinder N Madan
language : en
Publisher: World Scientific
Release Date : 1995-06-09

Parallel And Distributed Signal And Image Integration Problems Proceedings Of The Indo Us Workshop written by Rabinder N Madan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-06-09 with categories.

Though there are several books on the Singapore economy, none have focused on the time series-based investigations. This book tries to address that gap and attempts to add to what we know from studies in the descriptive tradition. It is a compendium of twenty of the author's academic studies on the Singapore economy which have appeared previously as journal papers, book chapters, and feature articles. The papers share a common methodology of social scientific enquiry viz., time series econometrics, and are divided into three parts: macroeconomy, business cycles and forecasting. Each part brings together empirical essays that deal with particular aspects of these related fields. The book will be of interest to economists, policy-makers and students seeking a quantitatively informed understanding of the Singapore economy.

Mechanics Of Mixtures

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Author : Kumbakonam R Rajagopal
language : en
Publisher: World Scientific
Release Date : 1995-10-18

Mechanics Of Mixtures written by Kumbakonam R Rajagopal and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-10-18 with Science categories.

This book presents a unified treatment of the mechanics of mixtures of several constituents within the context of continuum mechanics. After an introduction to the basic theory in the first few chapters, the book deals with a detailed exposition of the mechanics of a mixture of a fluid and an elastic solid, which is either isotropic or anisotropic and is capable of undergoing large deformations. Issues regarding the specification of boundary conditions for mixtures are discussed in detail and several boundary value and initial-boundary value problems are solved. The status of some special theories like those of Darcy and Biot are discussed. Such a study has relevance to several technologically significant problems in geomechanics, biomechanics, diffusion of contaminants and the swelling and absorption of fluids in polymers and polymer composites, to mention a few.

Geometric Control And Nonsmooth Analysis In Honor Of The 73rd Birthday Of H Hermes And Of The 71st Birthday Of R T Rockafellar

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Author : Fabio Ancona
language : en
Publisher: World Scientific
Release Date : 2008-07-08

Geometric Control And Nonsmooth Analysis In Honor Of The 73rd Birthday Of H Hermes And Of The 71st Birthday Of R T Rockafellar written by Fabio Ancona and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-08 with Mathematics categories.

The aim of this volume is to provide a synthetic account of past research, to give an up-to-date guide to current intertwined developments of control theory and nonsmooth analysis, and also to point to future research directions.

Calculus Of Variations Homogenization And Continuum Mechanics

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Author : Guy Bouchitte
language : en
Publisher: World Scientific
Release Date : 1994-06-28

Calculus Of Variations Homogenization And Continuum Mechanics written by Guy Bouchitte and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-06-28 with categories.

Differential Equations Bifurcations And Chaos In Economics

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Author : Wei-bin Zhang
language : en
Publisher: World Scientific Publishing Company
Release Date : 2005-07-18

Differential Equations Bifurcations And Chaos In Economics written by Wei-bin Zhang and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-18 with Business & Economics categories.

Although the application of differential equations to economics is a vast and vibrant area, the subject has not been systematically studied; it is often treated as a subsidiary part of mathematical economics textbooks. This book aims to fill that void by providing a unique blend of the theory of differential equations and their exciting applications to dynamic economics. Containing not just a comprehensive introduction to the applications of the theory of linear (and linearized) differential equations to economic analysis, the book also studies nonlinear dynamical systems, which have only been widely applied to economic analysis in recent years. It provides comprehensive coverage of the most important concepts and theorems in the theory of differential equations in a way that can be understood by any reader who has a basic knowledge of calculus and linear algebra. In addition to traditional applications of the theory to economic dynamics, the book includes many recent developments in different fields of economics.

High Dimensional Nonlinear Diffusion Stochastic Processes

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Author : Yevgeny Mamontov
language : en
Publisher: World Scientific
Release Date : 2001

High Dimensional Nonlinear Diffusion Stochastic Processes written by Yevgeny Mamontov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

Annotation This book is one of the first few devoted to high-dimensional diffusion stochastic processes with nonlinear coefficients. These processes are closely associated with large systems of Ito's stochastic differential equations and with discretized-in-the-parameter versions of Ito's stochastic differential equations that are nonlocally dependent on the parameter. The latter models include Ito's stochastic integro-differential, partial differential and partial integro-differential equations.The book presents the new analytical treatment which can serve as the basis of a combined, analytical -- numerical approach to greater computational efficiency. Some examples of the modelling of noise in semiconductor devices are provided