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Evolution of Phase Transitions

Author: Rohan Abeyaratne

Publisher: Cambridge University Press

Published: 2006-05-08

Total Pages: 272

ISBN-13: 9781139449243

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.

Evolution of Phase Transitions

Author: Rohan Abeyaratne

Publisher: Cambridge University Press

Published: 2011-07-21

Total Pages: 0

ISBN-13: 9780521380515

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Phase Transitions

Author: Ricard V. Solé

Publisher: Princeton University Press

Published: 2011-08-14

Total Pages: 238

ISBN-13: 0691150753

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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.

Phase Transitions of Simple Systems

Author: Boris M. Smirnov

Publisher: Springer Science & Business Media

Published: 2007-10-24

Total Pages: 249

ISBN-13: 3540715142

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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.

Kinetics of Phase Transitions

Author: Sanjay Puri

Publisher: CRC Press

Published: 2009-03-24

Total Pages: 356

ISBN-13: 1420008366

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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

Phase Transitions in the Early Universe: Theory and Observations

Author: Héctor J. De Vega

Publisher: Springer Science & Business Media

Published: 2001-11-30

Total Pages: 1032

ISBN-13: 9781402000560

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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.

Evolution of Phase Transitions

Author: Rohan Abeyaratne

Publisher:

Published: 2006

Total Pages: 242

ISBN-13: 9781107142640

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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.

Evolution of Structure During Phase Transitions

Author: J. E. Martin

Publisher:

Published: 1996

Total Pages: 25

ISBN-13:

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Field Theoretic Method in Phase Transformations

Author: Alexander Umantsev

Publisher: Springer

Published: 2012-04-20

Total Pages: 0

ISBN-13: 9781461414865

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The main subject of the book is the continuum, field theoretic method of study of phase transformations in material systems. The method, also known as "phase field", allows one to analyze different stages of transformations on the unified platform. It has received significant attention in the materials science community recently due to many successes in solving or illuminating important problems. The book will address fundamentals of the method starting from the classical theories of phase transitions, the most important theoretical and computational results, and some of the most advanced recent applications.

Mathematical Methods and Models in Phase Transitions

Author: Alain Miranville

Publisher: Nova Publishers

Published: 2005

Total Pages: 306

ISBN-13: 9781594543173

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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.