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Evolution of Phase Transitions

Evolution of Phase Transitions Author Rohan Abeyaratne
ISBN-10 1139449249
Release 2006-05-08
Pages
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This 2006 work began with the author's exploration of the applicability of the finite deformation theory of elasticity when various standard assumptions such as convexity of various energies or ellipticity of the field equations of equilibrium are relinquished. The finite deformation theory of elasticity turns out to be a natural vehicle for the study of phase transitions in solids where thermal effects can be neglected. This text will be of interest to those interested in the development and application of continuum-mechanical models that describe the macroscopic response of materials capable of undergoing stress- or temperature-induced transitions between two solid phases. The focus is on the evolution of phase transitions which may be either dynamic or quasi-static, controlled by a kinetic relation which in the framework of classical thermomechanics represents information that is supplementary to the usual balance principles and constitutive laws of conventional theory.



Fundamental Contributions to the Continuum Theory of Evolving Phase Interfaces in Solids

Fundamental Contributions to the Continuum Theory of Evolving Phase Interfaces in Solids Author John M. Ball
ISBN-10 9783642599385
Release 2012-12-06
Pages 474
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A traditional way to honor distinguished scientists is to combine collections of papers solicited from friendly colleagues into dedicatory volumes. To honor our friend and colleague Mort Gurtin on the occasion of his sixty-fifth birthday, we followed a surer path to produce a work of intrinsic and lasting scientific value: We collected pa pers that we deemed seminal in the field of evolving phase interfaces in solids, a field to which Mort Gurtin himself has made fundamental contributions. Our failure for lack of space to include in this volume every paper of major significance is mitigated by the ma gisterial introduction prepared by Eliot Fried, which assesses the contributions of nu merous works. We hope that this collection will prove useful and stimulating to both researchers and students in this exciting field. August 1998 JohnM. Ball David Kinderlehrer Paulo Podio-Guidugli Marshall Slemrod Contents Introduction: Fifty Years of Research on Evolving Phase Interfaces By Eliot Fried. 0 •••••••••••••••••••••••••••••••••••••••••••••••• 0 ••••• 1 I. Papers on Materials Science Surface Tension as a Motivation for Sintering By C. Herring 33 Two-Dimensional Motion of Idealized Grain Boundaries By W. W. Mullins 0 ••••••••••• 0 ••••••••••••••••••• 70 Morphological. Stability of a Particle Growing by Diffusion or Heat Flow By w. w. Mullins and R. F. Sekerka 75 Energy Relations and the Energy-Momentum Tensor in Continuum Mechanics By J. D. Eshelby 82 The Interactions of Composition and Stress in Crystalline Solids By F. e. Larche and 1. W. Cahn 120 II.



Dissipative Phase Transitions

Dissipative Phase Transitions Author
ISBN-10 9789814478656
Release
Pages
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Dissipative Phase Transitions has been writing in one form or another for most of life. You can find so many inspiration from Dissipative Phase Transitions also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Dissipative Phase Transitions book for free.



Thermomechanics of Phase Transitions in Classical Field Theory

Thermomechanics of Phase Transitions in Classical Field Theory Author Antonio Romano
ISBN-10 9810213980
Release 1993
Pages 255
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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.



Quantum Phase Transitions

Quantum Phase Transitions Author Subir Sachdev
ISBN-10 0521004543
Release 2001-04-23
Pages 353
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The first book to describe the theory of quantum phase transitions in condensed matter systems.



Phase field modeling of multi domain evolution in ferromagnetic shape memory alloys and of polycrystalline thin film growth

Phase field modeling of multi domain evolution in ferromagnetic shape memory alloys and of polycrystalline thin film growth Author Christian Mennerich
ISBN-10 9783731500094
Release 2013
Pages 281
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Phase field modeling of multi domain evolution in ferromagnetic shape memory alloys and of polycrystalline thin film growth has been writing in one form or another for most of life. You can find so many inspiration from Phase field modeling of multi domain evolution in ferromagnetic shape memory alloys and of polycrystalline thin film growth also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Phase field modeling of multi domain evolution in ferromagnetic shape memory alloys and of polycrystalline thin film growth book for free.



Phase Transitions and Renormalization Group

Phase Transitions and Renormalization Group Author Jean Zinn-Justin
ISBN-10 9780199227198
Release 2007-07-05
Pages 452
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No further information has been provided for this title.



Handbook of Crystal Growth

Handbook of Crystal Growth Author Tatau Nishinaga
ISBN-10 9780444593764
Release 2014-11-04
Pages 1214
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Volume IA Handbook of Crystal Growth, 2nd Edition (Fundamentals: Thermodynamics and Kinetics) Volume IA addresses the present status of crystal growth science, and provides scientific tools for the following volumes: Volume II (Bulk Crystal Growth) and III (Thin Film Growth and Epitaxy). Volume IA highlights thermodynamics and kinetics. After historical introduction of the crystal growth, phase equilibria, defect thermodynamics, stoichiometry, and shape of crystal and structure of melt are described. Then, the most fundamental and basic aspects of crystal growth are presented, along with the theories of nucleation and growth kinetics. In addition, the simulations of crystal growth by Monte Carlo, ab initio-based approach and colloidal assembly are thoroughly investigated. Volume IB Handbook of Crystal Growth, 2nd Edition (Fundamentals: Transport and Stability) Volume IB discusses pattern formation, a typical problem in crystal growth. In addition, an introduction to morphological stability is given and the phase-field model is explained with comparison to experiments. The field of nanocrystal growth is rapidly expanding and here the growth from vapor is presented as an example. For the advancement of life science, the crystal growth of protein and other biological molecules is indispensable and biological crystallization in nature gives many hints for their crystal growth. Another subject discussed is pharmaceutical crystal growth. To understand the crystal growth, in situ observation is extremely powerful. The observation techniques are demonstrated. Volume IA Explores phase equilibria, defect thermodynamics of Si, stoichiometry of oxides and atomistic structure of melt and alloys Explains basic ideas to understand crystal growth, equilibrium shape of crystal, rough-smooth transition of step and surface, nucleation and growth mechanisms Focuses on simulation of crystal growth by classical Monte Carlo, ab-initio based quantum mechanical approach, kinetic Monte Carlo and phase field model. Controlled colloidal assembly is presented as an experimental model for crystal growth. Volume IIB Describes morphological stability theory and phase-field model and comparison to experiments of dendritic growth Presents nanocrystal growth in vapor as well as protein crystal growth and biological crystallization Interprets mass production of pharmaceutical crystals to be understood as ordinary crystal growth and explains crystallization of chiral molecules Demonstrates in situ observation of crystal growth in vapor, solution and melt on the ground and in space



T A M Report

T  A M  Report Author
ISBN-10 UIUC:30112078753628
Release 1946
Pages
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T A M Report has been writing in one form or another for most of life. You can find so many inspiration from T A M Report also informative, and entertaining. Click DOWNLOAD or Read Online button to get full T A M Report book for free.



The Rational Spirit in Modern Continuum Mechanics

The Rational Spirit in Modern Continuum Mechanics Author Chi-Sing Man
ISBN-10 9781402023088
Release 2006-01-19
Pages 808
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Through his voluminous and in?uential writings, editorial activities, organi- tional leadership, intellectual acumen, and strong sense of history, Clifford - brose Truesdell III (1919–2000) was the main architect for the renaissance of - tional continuum mechanics since the middle of the twentieth century. The present collection of 42 essays and research papers pays tribute to this man of mathematics, science, and natural philosophy as well as to his legacy. The ?rst ?ve essays by B. D. Coleman, E. Giusti, W. Noll, J. Serrin, and D. Speiser were texts of addresses given by their authors at the Meeting in memory of Clifford Truesdell, which was held in Pisa in November 2000. In these essays the reader will ?nd personal reminiscences of Clifford Truesdell the man and of some of his activities as scientist, author, editor, historian of exact sciences, and principal founding member of the Society for Natural Philosophy. The bulk of the collection comprises 37 research papers which bear witness to the Truesdellian legacy. These papers cover a wide range of topics; what ties them together is the rational spirit. Clifford Truesdell, in his address upon receipt of a Birkhoff Prize in 1978, put the essence of modern continuum mechanics succinctly as “conceptual analysis, analysis not in the sense of the technical term but in the root meaning: logical criticism, dissection, and creative scrutiny.



Continuum Theories in Solid Earth Physics

Continuum Theories in Solid Earth Physics Author Roman Teisseyre
ISBN-10 UCAL:B4331187
Release 1986
Pages 566
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Continuum Theories in Solid Earth Physics has been writing in one form or another for most of life. You can find so many inspiration from Continuum Theories in Solid Earth Physics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Continuum Theories in Solid Earth Physics book for free.



Dissipative Ordered Fluids

Dissipative Ordered Fluids Author André M. Sonnet
ISBN-10 9780387878157
Release 2012-01-24
Pages 326
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This is a book on the dissipative dynamics of ordered fluids, with a particular focus on liquid crystals. It covers a whole range of different theories, mainly concerned with nematic liquid crystals in both their chiral and nonchiral variants. The authors begin by giving a detailed account of the molecular origins of orientational order in fluids. They then go on to develop a general framework in which continuum theories for ordered fluids can be phrased. Within this unified setting, they cover both well-established classical theories and new ones with aspects that are not yet completely settled. The book treats a wide range of hydrodynamic theories for liquid crystals, from the original 1960s works by Ericksen and Leslie to new, fast-developing ideas of liquid crystal science. The final chapter is devoted to nematoacoustics and its applications. Old experiments on the propagation of ultrasound waves in nematic liquid crystals are interpreted and explained in the light of a new theory developed within the general theoretical infrastructure proposed in the body of the book. This book is intended both for graduate students and professional scholars in mathematics, physics, and engineering of advanced materials. It delivers a solid framework for liquid crystal hydrodynamics and shows the unifying concepts at the basis of the classical theories. It illustrates how these concepts can also be applied to a wide variety of modern topics. Andre M. Sonnet is in the Department of Mathematics and Statistics at the University of Strathclyde, Glasgow (Scotland) and Epifanio G. Virga is in the Department of Mathematics at the University of Pavia (Italy). They have a long history of working together in liquid crystal science and have contributed, in particular, to the theories of defects and biaxial nematics.



Dynamical Evolution of Galaxies

Dynamical Evolution of Galaxies Author Xiaolei Zhang
ISBN-10 9783110527421
Release 2017-12-04
Pages 337
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This research monograph presents a new dynamical framework for the study of secular dynamical evolution of galaxies. Classical approaches based on Boltzmann's kinetic equation, as well as on its moment-equation descendants the Euler and Navier-Stokes fluid equations, are inadequate for treating the maintenance and long-term evolution of systems containing self-organized structures such as galactic density-wave modes. A global and synthetic approach, incorporating correlated fluctuations of the constituent particles during a nonequilibrium phase transition, is adopted to supplement the continuum treatment. The cutting-edge research combining analytical, N-body simulational, and observational aspects, as well as the fundamental-physics connections it provides, make this work a valuable reference for researchers and graduate students in astronomy, astrophysics, cosmology, many-body physics, complexity theory, and other related fields. Contents Dynamical Drivers of Galaxy Evolution N-Body Simulations of Galaxy Evolution Astrophysical Implications of the Dynamical Theory Putting It All Together Concluding Remarks Appendix: Relation to Kinetics and Fluid Mechanics



PDEs and Continuum Models of Phase Transitions

PDEs and Continuum Models of Phase Transitions Author Michel Rascle
ISBN-10 3662137666
Release 2014-08-23
Pages 232
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The study of phase transitions is one of the fundamental problems of physics. The goal of this seminar was to understand better the spectacular progress made recently in constructing continuum models. Concentrating on a few examples such as the microstructure of crystals, defects in liquid crystals and liquid-vapor interfaces, several key points are described, for example the structure and evolution of the interfaces, regularization via interfacial energy, and equilibrium theories. The mathematical treatment of these questions involves large-oscillation theories (Young's measures, compensated compactness), spectral theory, admissibility of shock waves, long-time behavior of dynamical systems, high-order perturbations, group actions, solitons, and others.



Transportation 2006

Transportation  2006 Author
ISBN-10 0791847802
Release 2007-01-01
Pages 207
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Transportation 2006 has been writing in one form or another for most of life. You can find so many inspiration from Transportation 2006 also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Transportation 2006 book for free.



Phase Transitions in Ferroelastic and Co elastic Crystals

Phase Transitions in Ferroelastic and Co elastic Crystals Author E. K. Salje
ISBN-10 0521429366
Release 1993-04-22
Pages 300
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This textbook describes the fundamental principles of structural phase transitions in materials in an easily understandable form, suitable for both undergraduate and graduate students.



Trends in Continuum Mechanics of Porous Media

Trends in Continuum Mechanics of Porous Media Author Reint de Boer
ISBN-10 1402031432
Release 2005-02-15
Pages 282
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Over the last decade and particularly in recent years, the macroscopic porous media theory has made decisive progress concerning the fundamentals of the theory and the development of mathematical models in various fields of engineering and biomechanics. This progress has attracted some attention, and therefore conferences devoted almost exclusively to the macrosopic porous media theory have been organized in order to collect all findings, to present new results, and to discuss new trends. Many important contributions have also been published in national and international journals, which have brought the porous media theory, in some parts, to a close. Therefore, the time seems to be ripe to review the state of the art and to show new trends in the continuum mechanical treatment of saturated and unsaturated capillary and non-capillary porous solids. This book addresses postgraduate students and scientists working in engineering, physics, and mathematics. It provides an outline of modern theory of porous media and shows some trends in theory and in applications.