Evolution Of Phase Transitions
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Evolution Of Phase Transitions
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Author : Rohan Abeyaratne
language : en
Publisher: Cambridge University Press
Release Date : 2006-05-08
Evolution Of Phase Transitions written by Rohan Abeyaratne 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 2006-05-08 with Science categories.
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
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Author : Rohan Abeyaratne
language : en
Publisher:
Release Date : 2006
Evolution Of Phase Transitions written by Rohan Abeyaratne and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Continuum mechanics categories.
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.
On The Evolution Of Phase Boundaries
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Author : Morton E Gurtin
language : en
Publisher:
Release Date : 1992-04-16
On The Evolution Of Phase Boundaries written by Morton E Gurtin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-04-16 with categories.
Phase Transitions
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Author : Ricard Solé
language : en
Publisher: Princeton University Press
Release Date : 2011-07-25
Phase Transitions written by Ricard Solé and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-25 with Science categories.
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.
Evolution Of Structure During Phase Transitions
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Author : J. E. Martin
language : en
Publisher:
Release Date : 1996
Evolution Of Structure During Phase Transitions written by J. E. Martin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Nanostructures categories.
Mathematical Methods And Models In Phase Transitions
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Author : Alain Miranville
language : en
Publisher: Nova Publishers
Release Date : 2005
Mathematical Methods And Models In Phase Transitions written by Alain Miranville and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
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.
On The Evolution Of Phase Boundaries
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Author : Morton E. Gurtin
language : en
Publisher:
Release Date : 1992
On The Evolution Of Phase Boundaries written by Morton E. Gurtin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
Phase Transitions In The Evolution Of Partially Ordered Sets
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Author : Anuschirawan Ralf Taraz
language : en
Publisher:
Release Date : 1999
Phase Transitions In The Evolution Of Partially Ordered Sets written by Anuschirawan Ralf Taraz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Dynamical Phase Transitions In Chaotic Systems
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Author : Edson Denis Leonel
language : en
Publisher: Springer Nature
Release Date : 2023-08-14
Dynamical Phase Transitions In Chaotic Systems written by Edson Denis Leonel and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-14 with Mathematics categories.
This book discusses some scaling properties and characterizes two-phase transitions for chaotic dynamics in nonlinear systems described by mappings. The chaotic dynamics is determined by the unpredictability of the time evolution of two very close initial conditions in the phase space. It yields in an exponential divergence from each other as time passes. The chaotic diffusion is investigated, leading to a scaling invariance, a characteristic of a continuous phase transition. Two different types of transitions are considered in the book. One of them considers a transition from integrability to non-integrability observed in a two-dimensional, nonlinear, and area-preserving mapping, hence a conservative dynamics, in the variables action and angle. The other transition considers too the dynamics given by the use of nonlinear mappings and describes a suppression of the unlimited chaotic diffusion for a dissipative standard mapping and an equivalent transition in the suppression of Fermi acceleration in time-dependent billiards. This book allows the readers to understand some of the applicability of scaling theory to phase transitions and other critical dynamics commonly observed in nonlinear systems. That includes a transition from integrability to non-integrability and a transition from limited to unlimited diffusion, and that may also be applied to diffusion in energy, hence in Fermi acceleration. The latter is a hot topic investigated in billiard dynamics that led to many important publications in the last few years. It is a good reference book for senior- or graduate-level students or researchers in dynamical systems and control engineering, mathematics, physics, mechanical and electrical engineering.
Dual Phase Evolution
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Author : David G. Green
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-12
Dual Phase Evolution written by David G. Green 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 2013-11-12 with Technology & Engineering categories.
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.