Phase Transitions

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Publisher : Princeton University Press
ISBN 13 : 0691150753
Total Pages : 238 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Phase Transitions by : Ricard V. Solé

Download or read book Phase Transitions written by Ricard V. Solé and published by Princeton University Press. This book was released on 2011-08-14 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Scaling and Phase Transitions in Complex Systems

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Publisher : Oxford University Press
ISBN 13 : 9780195155389
Total Pages : 608 pages
Book Rating : 4.1/5 (553 download)

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Book Synopsis Scaling and Phase Transitions in Complex Systems by : Ricard V. Sole

Download or read book Scaling and Phase Transitions in Complex Systems written by Ricard V. Sole and published by Oxford University Press. This book was released on 2006 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Phase Transitions: Modern Applications (2nd Edition)

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814520624
Total Pages : 211 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Phase Transitions: Modern Applications (2nd Edition) by : Moshe Gitterman

Download or read book Phase Transitions: Modern Applications (2nd Edition) written by Moshe Gitterman and published by World Scientific Publishing Company. This book was released on 2013-09-25 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Complex Nonlinearity

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Publisher : Springer Science & Business Media
ISBN 13 : 3540793577
Total Pages : 855 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Complex Nonlinearity by : Vladimir G. Ivancevic

Download or read book Complex Nonlinearity written by Vladimir G. Ivancevic and published by Springer Science & Business Media. This book was released on 2008-05-31 with total page 855 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Nonlinearity: Chaos, Phase Transitions, Topology Change and Path Integrals is a book about prediction & control of general nonlinear and chaotic dynamics of high-dimensional complex systems of various physical and non-physical nature and their underpinning geometro-topological change. The book starts with a textbook-like expose on nonlinear dynamics, attractors and chaos, both temporal and spatio-temporal, including modern techniques of chaos–control. Chapter 2 turns to the edge of chaos, in the form of phase transitions (equilibrium and non-equilibrium, oscillatory, fractal and noise-induced), as well as the related field of synergetics. While the natural stage for linear dynamics comprises of flat, Euclidean geometry (with the corresponding calculation tools from linear algebra and analysis), the natural stage for nonlinear dynamics is curved, Riemannian geometry (with the corresponding tools from nonlinear, tensor algebra and analysis). The extreme nonlinearity – chaos – corresponds to the topology change of this curved geometrical stage, usually called configuration manifold. Chapter 3 elaborates on geometry and topology change in relation with complex nonlinearity and chaos. Chapter 4 develops general nonlinear dynamics, continuous and discrete, deterministic and stochastic, in the unique form of path integrals and their action-amplitude formalism. This most natural framework for representing both phase transitions and topology change starts with Feynman’s sum over histories, to be quickly generalized into the sum over geometries and topologies. The last Chapter puts all the previously developed techniques together and presents the unified form of complex nonlinearity. Here we have chaos, phase transitions, geometrical dynamics and topology change, all working together in the form of path integrals. The objective of this book is to provide a serious reader with a serious scientific tool that will enable them to actually perform a competitive research in modern complex nonlinearity. It includes a comprehensive bibliography on the subject and a detailed index. Target readership includes all researchers and students of complex nonlinear systems (in physics, mathematics, engineering, chemistry, biology, psychology, sociology, economics, medicine, etc.), working both in industry/clinics and academia.

Phase Transitions and Complex Systems

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Publisher :
ISBN 13 :
Total Pages : 29 pages
Book Rating : 4.:/5 (82 download)

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Book Synopsis Phase Transitions and Complex Systems by : Ricardo Vicente Solé

Download or read book Phase Transitions and Complex Systems written by Ricardo Vicente Solé and published by . This book was released on 1995 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Phase Transitions in Complex Fluids

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Publisher : World Scientific
ISBN 13 : 9789810232603
Total Pages : 476 pages
Book Rating : 4.2/5 (326 download)

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Book Synopsis Phase Transitions in Complex Fluids by : Pierre Tol‚dano

Download or read book Phase Transitions in Complex Fluids written by Pierre Tol‚dano and published by World Scientific. This book was released on 1998 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important and timely book deals with the theoretical and experimental investigation of the phase transitions which occur in complex fluid systems, namely lyotropic systems, microemulsions, colloids, gels, polymers, biological membranes, Langmuir monolayers, and ferrofluids. It contains 20-odd review papers from the major contributors to this rapidly growing field of research, summarizing the main results obtained in the description and understanding of the phase transitions taking place between the isotopic, nematic, cholesteric, lamellar, hexagonal, and cubic mesophases of complex fluids.

Theoretical and Experimental Study of Phase Transitions in Complex Systems

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Publisher :
ISBN 13 :
Total Pages : 106 pages
Book Rating : 4.:/5 (895 download)

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Book Synopsis Theoretical and Experimental Study of Phase Transitions in Complex Systems by : Róbert Zoltán Sumi

Download or read book Theoretical and Experimental Study of Phase Transitions in Complex Systems written by Róbert Zoltán Sumi and published by . This book was released on 2009 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Phase Transitions in Complex Systems

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Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.:/5 (115 download)

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Book Synopsis Phase Transitions in Complex Systems by : Omri Har Shemesh

Download or read book Phase Transitions in Complex Systems written by Omri Har Shemesh and published by . This book was released on 2017 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: "We live in a complex world. Whether we look at chemical reactions in a reactor, networks of neurons in the brain, or human societies, a fascinating multi-level, non-linear system appears. The field of complexity has set it as a goal to study the common denominator of these systems, which are usually studied separately in disparate academic disciplines. Since the premise of complexity research is that there exists a common denominator, a question arises about what will be the conceptual and mathematical framework that can unite these phenomena. In my thesis I explore the possibility that critical phenomena in complex systems can be studied using a framework called Information Geometry. The idea is borrowed from geometrical statistical mechanics where the information geometry of many models exhibiting phase transitions have been studied and some researchers have even gone so far as to suggest the geometrical properties as a definition for critical transitions. The intuition is simple - when a system is described in statistical terms, its different phases will invariably have different statistical properties. The sudden change in these properties can be used to define the phase transition line. Inverting the question one can term this as an inference problem - given the statistical properties of the system, how well can we measure the underlying control parameters that govern the transition. At the phase transition point, where the change in statistical properties is large, the value of the parameter is easy to infer. Therefore one can use the Fisher information to detect the phase transition."--Samenvatting auteur.

Phase Transition Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461489636
Total Pages : 575 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Phase Transition Dynamics by : Tian Ma

Download or read book Phase Transition Dynamics written by Tian Ma and published by Springer Science & Business Media. This book was released on 2013-11-09 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences. The main objectives of this book are to introduce a general principle of dynamic transitions for dissipative systems, to establish a systematic dynamic transition theory, and to explore the physical implications of applications of the theory to a range of problems in the nonlinear sciences. The basic philosophy of the theory is to search for a complete set of transition states, and the general principle states that dynamic transitions of all dissipative systems can be classified into three categories: continuous, catastrophic and random. The audience for this book includes advanced graduate students and researchers in mathematics and physics as well as in other related fields.

Observation, Prediction and Simulation of Phase Transitions in Complex Fluids

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Publisher : Springer Science & Business Media
ISBN 13 : 9401100659
Total Pages : 669 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Observation, Prediction and Simulation of Phase Transitions in Complex Fluids by : Marc Baus

Download or read book Observation, Prediction and Simulation of Phase Transitions in Complex Fluids written by Marc Baus and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Observation, Prediction and Simulation of Phase Transitions in Complex Fluids presents an overview of the phase transitions that occur in a variety of soft-matter systems: colloidal suspensions of spherical or rod-like particles and their mixtures, directed polymers and polymer blends, colloid--polymer mixtures, and liquid-forming mesogens. This modern and fascinating branch of condensed matter physics is presented from three complementary viewpoints. The first section, written by experimentalists, emphasises the observation of basic phenomena (by light scattering, for example). The second section, written by theoreticians, focuses on the necessary theoretical tools (density functional theory, path integrals, free energy expansions). The third section is devoted to the results of modern simulation techniques (Gibbs ensemble, free energy calculations, configurational bias Monte Carlo). The interplay between the disciplines is clearly illustrated. For all those interested in modern research in equilibrium statistical mechanics.

Statistical Physics of Non-Thermal Phase Transitions

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Publisher : Springer
ISBN 13 : 3319124692
Total Pages : 504 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Statistical Physics of Non-Thermal Phase Transitions by : Sergey G. Abaimov

Download or read book Statistical Physics of Non-Thermal Phase Transitions written by Sergey G. Abaimov and published by Springer. This book was released on 2015-05-18 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the application of methods used in statistical physics to complex systems—from simple phenomenological analogies to more complex aspects, such as correlations, fluctuation-dissipation theorem, the concept of free energy, renormalization group approach and scaling. Statistical physics contains a well-developed formalism that describes phase transitions. It is useful to apply this formalism for damage phenomena as well. Fractals, the Ising model, percolation, damage mechanics, fluctuations, free energy formalism, renormalization group, and scaling, are some of the topics covered in Statistical Physics of Phase Transitions.

Phase Transitions in Combinatorial Optimization Problems

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Publisher : John Wiley & Sons
ISBN 13 : 3527606866
Total Pages : 360 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Phase Transitions in Combinatorial Optimization Problems by : Alexander K. Hartmann

Download or read book Phase Transitions in Combinatorial Optimization Problems written by Alexander K. Hartmann and published by John Wiley & Sons. This book was released on 2006-05-12 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise, comprehensive introduction to the topic of statistical physics of combinatorial optimization, bringing together theoretical concepts and algorithms from computer science with analytical methods from physics. The result bridges the gap between statistical physics and combinatorial optimization, investigating problems taken from theoretical computing, such as the vertex-cover problem, with the concepts and methods of theoretical physics. The authors cover rapid developments and analytical methods that are both extremely complex and spread by word-of-mouth, providing all the necessary basics in required detail. Throughout, the algorithms are shown with examples and calculations, while the proofs are given in a way suitable for graduate students, post-docs, and researchers. Ideal for newcomers to this young, multidisciplinary field.

Basics Of Thermodynamics And Phase Transitions In Complex Intermetallics

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Publisher : World Scientific
ISBN 13 : 981447195X
Total Pages : 408 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Basics Of Thermodynamics And Phase Transitions In Complex Intermetallics by : Esther Belin-ferre

Download or read book Basics Of Thermodynamics And Phase Transitions In Complex Intermetallics written by Esther Belin-ferre and published by World Scientific. This book was released on 2008-05-14 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex metal alloys (CMAs) comprise a huge group of largely unknown alloys and compounds, where many phases are formed with crystal structures based on giant unit cells containing atom clusters, ranging from tens of to more than thousand atoms per unit cell. In these phases, for many phenomena, the physical length scales are substantially smaller than the unit-cell dimension. Hence, these materials offer unique combinations of properties which are mutually exclusive in conventional materials, such as metallic electric conductivity combined with low thermal conductivity, good light absorption with high-temperature stability, high metallic hardness with reduced wetting by liquids, etc.This book is the first of a series of books issued yearly as a deliverable to the European Community of the School established within the European Network of Excellence CMA. Written by reputed experts in the fields of metal physics, surface physics, surface chemistry, metallurgy, and process engineering, this book brings together expertise found inside as well as outside the network to provide a comprehensive overview of the current state of knowledge in CMAs.

Quantum Phase Transitions

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Publisher : Cambridge University Press
ISBN 13 : 113950021X
Total Pages : 521 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Quantum Phase Transitions by : Subir Sachdev

Download or read book Quantum Phase Transitions written by Subir Sachdev and published by Cambridge University Press. This book was released on 2011-04-07 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describing the physical properties of quantum materials near critical points with long-range many-body quantum entanglement, this book introduces readers to the basic theory of quantum phases, their phase transitions and their observable properties. This second edition begins with a new section suitable for an introductory course on quantum phase transitions, assuming no prior knowledge of quantum field theory. It also contains several new chapters to cover important recent advances, such as the Fermi gas near unitarity, Dirac fermions, Fermi liquids and their phase transitions, quantum magnetism, and solvable models obtained from string theory. After introducing the basic theory, it moves on to a detailed description of the canonical quantum-critical phase diagram at non-zero temperatures. Finally, a variety of more complex models are explored. This book is ideal for graduate students and researchers in condensed matter physics and particle and string theory.

Order, Disorder And Criticality: Advanced Problems Of Phase Transition Theory - Volume 6

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Publisher : World Scientific
ISBN 13 : 9811216231
Total Pages : 294 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Order, Disorder And Criticality: Advanced Problems Of Phase Transition Theory - Volume 6 by : Yurij Holovatch

Download or read book Order, Disorder And Criticality: Advanced Problems Of Phase Transition Theory - Volume 6 written by Yurij Holovatch and published by World Scientific. This book was released on 2020-06-22 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the sixth volume of reviews on advanced problems of phase transitions and critical phenomena, with the first five volumes appearing in 2004, 2007, 2012, 2015, and 2018. It aims to provide an overview of those aspects of criticality and related topics that have attracted much attention due to the recent contributions. The six chapters discuss criticality of complex systems, where the new, emergent properties appear via collective behaviour of simple elements. Since all complex systems involve cooperative behaviour between many interconnected components, the field of phase transitions and critical phenomena provides a very natural conceptual and methodological framework for their study.As for the previous volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the 'Ising lectures' — a traditional annual workshop on phase transitions and critical phenomena which aims to bring together scientists working in the field of phase transitions with university students and those who are interested in the topic.The level of presentation makes the book readable both for professionals and the students in the field. On a larger scale, the book may contribute to promoting and deepening studies of phase transitions and critical phenomena.

Phase Transitions in Two-Dimensional Complex Plasmas

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Publisher : Springer Science & Business Media
ISBN 13 : 3642196713
Total Pages : 165 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Phase Transitions in Two-Dimensional Complex Plasmas by : Christina A. Knapek

Download or read book Phase Transitions in Two-Dimensional Complex Plasmas written by Christina A. Knapek and published by Springer Science & Business Media. This book was released on 2011-08-21 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two experimental studies reported in this thesis contribute important new knowledge about phase transitions in two-dimensional complex plasmas: in one case a determination of the coupling parameter (ratio of mean potential to mean kinetic energy of the particles in an ensemble), and in the other a detailed characterization of the non-equilibrium recrystallization of a two-dimensional system. The latter results are used to establish the connection between structural order parameters and the kinetic energy, which in turn gives novel insights into the underlying physical processes determining the two-dimensional phase transition.

Phase Transitions in Empirical, Correlation Based Complex Networks

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Phase Transitions in Empirical, Correlation Based Complex Networks by : Mateusz Wiliński (fizyka)

Download or read book Phase Transitions in Empirical, Correlation Based Complex Networks written by Mateusz Wiliński (fizyka) and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Keywords: complex systems, complex networks, correlation, time series, filtering weighted networks, phase transition, coevolving networks, stock quotes, EEG.