Evolution Of Phase Transitions

Author : Rohan Abeyaratne,James K. Knowles
Publisher : Cambridge University Press
Page : 272 pages
File Size : 53,7 Mb
Release : 2006-05-08
Category : Science
ISBN : 1139449249

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Evolution of Phase Transitions by Rohan Abeyaratne,James K. Knowles Pdf

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.

Author : Rohan Abeyaratne
Publisher : Unknown
Page : 242 pages
File Size : 53,6 Mb
Release : 2006
Category : Continuum mechanics
ISBN : 1107142644

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Evolution of Phase Transitions by Rohan Abeyaratne Pdf

This is an essential work 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.

Author : Moshe Gitterman
Publisher : World Scientific Publishing Company
Page : 212 pages
File Size : 42,5 Mb
Release : 2013-09-25
Category : Science
ISBN : 9789814520621

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Phase Transitions by Moshe Gitterman Pdf

This book provides a comprehensive review of the theory of phase transitions and its modern applications, based on the five pillars of the modern theory of phase transitions: the Ising model, mean field, scaling, renormalization group and universality. This expanded second edition includes, along with a description of vortices and high temperature superconductivity, a discussion of phase transitions in chemical reactions and moving systems. The book covers the close connection between phase transitions and small world phenomena as well as scale-free systems such as the stock market and the Internet.

Author : Ricard Solé
Publisher : Princeton University Press
Page : 237 pages
File Size : 45,9 Mb
Release : 2011-07-25
Category : Science
ISBN : 9781400838929

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Phase Transitions by Ricard Solé Pdf

Phase transitions--changes between different states of organization in a complex system--have long helped to explain physics concepts, such as why water freezes into a solid or boils to become a gas. How might phase transitions shed light on important problems in biological and ecological complex systems? Exploring the origins and implications of sudden changes in nature and society, Phase Transitions examines different dynamical behaviors in a broad range of complex systems. Using a compelling set of examples, from gene networks and ant colonies to human language and the degradation of diverse ecosystems, the book illustrates the power of simple models to reveal how phase transitions occur. Introductory chapters provide the critical concepts and the simplest mathematical techniques required to study phase transitions. In a series of example-driven chapters, Ricard Solé shows how such concepts and techniques can be applied to the analysis and prediction of complex system behavior, including the origins of life, viral replication, epidemics, language evolution, and the emergence and breakdown of societies. Written at an undergraduate mathematical level, this book provides the essential theoretical tools and foundations required to develop basic models to explain collective phase transitions for a wide variety of ecosystems.

Author : Michel Frémond
Publisher : Springer Science & Business Media
Page : 313 pages
File Size : 42,7 Mb
Release : 2012-02-07
Category : Mathematics
ISBN : 9783642246098

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Phase Change in Mechanics by Michel Frémond Pdf

Predictive theories of phenomena involving phase change with applications in engineering are investigated in this volume, e.g. solid-liquid phase change, volume and surface damage, and phase change involving temperature discontinuities. Many other phase change phenomena such as solid-solid phase change in shape memory alloys and vapor-liquid phase change are also explored. Modeling is based on continuum thermo-mechanics. This involves a renewed principle of virtual power introducing the power of the microscopic motions responsible for phase change. This improvement yields a new equation of motion related to microscopic motions, beyond the classical equation of motion for macroscopic motions. The new theory sensibly improves the phase change modeling. For example, when warm rain falls on frozen soil, the dangerous black ice phenomenon can be comprehensively predicted. In addition, novel equations predict the evolution of clouds, which are themselves a mixture of air, liquid water and vapor.

Author : Sanjay Puri,Vinod Wadhawan
Publisher : CRC Press
Page : 356 pages
File Size : 48,9 Mb
Release : 2009-03-24
Category : Science
ISBN : 9781420008364

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Kinetics of Phase Transitions by Sanjay Puri,Vinod Wadhawan Pdf

Providing a comprehensive introduction with the necessary background material to make it accessible for a wide scientific audience, Kinetics of Phase Transitions discusses developments in domain-growth kinetics. This book combines pedagogical chapters from leading experts in this area and focuses on incorporating various experimentally releva

Author : Morton E Gurtin,Geoffrey B McFadden
Publisher : Unknown
Page : 156 pages
File Size : 51,6 Mb
Release : 1992-04-16
Category : Electronic
ISBN : 1461392128

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On the Evolution of Phase Boundaries by Morton E Gurtin,Geoffrey B McFadden Pdf

Author : Héctor J. De Vega,Isaak M. Khalatnikov,Norma G. Sànchez
Publisher : Springer Science & Business Media
Page : 1032 pages
File Size : 50,8 Mb
Release : 2001-11-30
Category : Science
ISBN : 1402000561

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Phase Transitions in the Early Universe: Theory and Observations by Héctor J. De Vega,Isaak M. Khalatnikov,Norma G. Sànchez Pdf

A fundamental, profound review of the key issues relating to the early universe and the physical processes that occurred in it. The interplay between cosmic microwave background radiation, large scale structure, and the dark matter problem are stressed, with a central focus on the crucial issue of the phase transitions in the early universe and their observable consequences: baryon symmetry, baryogenesis and cosmological fluctuations. There is an interplay between cosmology, statistical physics and particle physics in studying these problems, both at the theoretical and the experimental / observational levels. Special contributions are devoted to primordial and astrophysical black holes and to high energy cosmic rays and neutrino astrophysics. There is also a special section devoted to the International Space Station and its scientific utilization.

Author : Ya. G. Sinai
Publisher : Elsevier
Page : 163 pages
File Size : 44,7 Mb
Release : 2014-05-20
Category : Science
ISBN : 9781483158495

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Theory of Phase Transitions by Ya. G. Sinai Pdf

Theory of Phase Transitions: Rigorous Results is inspired by lectures on mathematical problems of statistical physics presented in the Mathematical Institute of the Hungarian Academy of Sciences, Budapest. The aim of the book is to expound a series of rigorous results about the theory of phase transitions. The book consists of four chapters, wherein the first chapter discusses the Hamiltonian, its symmetry group, and the limit Gibbs distributions corresponding to a given Hamiltonian. The second chapter studies the phase diagrams of lattice models that are considered at low temperatures. The notions of a ground state of a Hamiltonian and the stability of the set of the ground states of a Hamiltonian are also introduced. Chapter 3 presents the basic theorems about lattice models with continuous symmetry, and Chapter 4 focuses on the second-order phase transitions and on the theory of scaling probability distributions, connected to these phase transitions. Specialists in statistical physics and other related fields will greatly benefit from this publication.

Author : David G. Green,Jing Liu,Hussein A. Abbass
Publisher : Springer Science & Business Media
Page : 210 pages
File Size : 52,6 Mb
Release : 2013-11-12
Category : Technology & Engineering
ISBN : 9781441984234

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Dual Phase Evolution by David G. Green,Jing Liu,Hussein A. Abbass Pdf

The aim of the book is to lay out the foundations and provide a detailed treatment of the subject. It will focus on two main elements in dual phase evolution: the relationship between dual phase evolution and other phase transition phenomena and the advantages of dual phase evolution in evolutionary computation and complex adaptive systems. The book will provide a coherent picture of dual phase evolution that encompasses these two elements and frameworks, methods and techniques to use this concept for problem solving.

Author : Alain Miranville
Publisher : Nova Publishers
Page : 306 pages
File Size : 44,9 Mb
Release : 2005
Category : Mathematics
ISBN : 1594543178

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Mathematical Methods and Models in Phase Transitions by Alain Miranville Pdf

The modelling and the study of phase transition phenomena are capital issues as they have essential applications in material sciences and in biological and industrial processes. We can mention, e.g., phase separation in alloys, ageing of materials, microstructure evolution, crystal growth, solidification in complex alloys, surface diffusion in the presence of stress, evolution of the surface of a thin flow in heteroepitaxial growth, motion of voids in interconnects in integrated circuits, treatment of airway closure disease by surfactant injection, fuel injection, fire extinguishers etc., This book consists of 11 contributions from specialists in the mathematical modelling and analysis of phase transitions. The content of these contributions ranges from the modelling to the mathematical and numerical analysis. Furthermore, many numerical simulations are presented. Finally, the contributors have tried to give comprehensive and accurate reference lists. This book should thus serve as a reference book for researchers interested in phase transition phenomena.

Author : Akira Onuki
Publisher : Cambridge University Press
Page : 726 pages
File Size : 49,5 Mb
Release : 2002-06-06
Category : Science
ISBN : 9781139433167

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Phase Transition Dynamics by Akira Onuki Pdf

Phase Transition Dynamics, first published in 2002, provides a fully comprehensive treatment of the study of phase transitions. Building on the statistical mechanics of phase transitions, covered in many introductory textbooks, it will be essential reading for researchers and advanced graduate students in physics, chemistry, metallurgy and polymer science.

Author : Hidetoshi Nishimori,Gerardo Ortiz
Publisher : Oxford University Press
Page : 373 pages
File Size : 42,5 Mb
Release : 2011
Category : Science
ISBN : 9780199577224

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Elements of Phase Transitions and Critical Phenomena by Hidetoshi Nishimori,Gerardo Ortiz Pdf

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.

Author : Pierre Papon,Jacques Leblond,Paul H.E. Meijer
Publisher : Springer Science & Business Media
Page : 410 pages
File Size : 48,7 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662049891

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The Physics of Phase Transitions by Pierre Papon,Jacques Leblond,Paul H.E. Meijer Pdf

The Physics of Phase Transitions occupies an important place at the crossroads of several fields central to materials sciences. This second edition incorporates new developments in the states of matter physics, in particular in the domain of nanomaterials and atomic Bose-Einstein condensates where progress is accelerating. New information and application examples are included. This work deals with all classes of phase transitions in fluids and solids, containing chapters on evaporation, melting, solidification, magnetic transitions, critical phenomena, superconductivity, and more. End-of-chapter problems and complete answers are included.

Author : J. M. Yeomans
Publisher : Clarendon Press
Page : 165 pages
File Size : 49,7 Mb
Release : 1992-05-07
Category : Electronic
ISBN : 9780191589706

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Statistical Mechanics of Phase Transitions by J. M. Yeomans Pdf

The book provides an introduction to the physics which underlies phase transitions and to the theoretical techniques currently at our disposal for understanding them. It will be useful for advanced undergraduates, for post-graduate students undertaking research in related fields, and for established researchers in experimental physics, chemistry, and metallurgy as an exposition of current theoretical understanding. - ;Recent developments have led to a good understanding of universality; why phase transitions in systems as diverse as magnets, fluids, liquid crystals, and superconductors can be brought under the same theoretical umbrella and well described by simple models. This book describes the physics underlying universality and then lays out the theoretical approaches now available for studying phase transitions. Traditional techniques, mean-field theory, series expansions, and the transfer matrix, are described; the Monte Carlo method is covered, and two chapters are devoted to the renormalization group, which led to a break-through in the field. The book will be useful as a textbook for a course in `Phase Transitions', as an introduction for graduate students undertaking research in related fields, and as an overview for scientists in other disciplines who work with phase transitions but who are not aware of the current tools in the armoury of the theoretical physicist. - ;Introduction; Statistical mechanics and thermodynamics; Models; Mean-field theories; The transfer matrix; Series expansions; Monte Carlo simulations; The renormalization group; Implementations of the renormalization group. -