Phase Transitions In Complex Systems

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Phase Transitions

Author : Ricard V. Solé
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.

Complex Nonlinearity

Author : Vladimir G. Ivancevic
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 in Complex Fluids

Author : Pierre Toldano
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 Toldano

Download or read book Phase Transitions in Complex Fluids written by Pierre Toldano 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.

Phase Transition Dynamics

Author : Tian Ma
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.

The Physics of Phase Transitions

Author : Pierre Papon
Publisher : Springer Science & Business Media
ISBN 13 : 3662049899
Total Pages : 410 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis The Physics of Phase Transitions by : Pierre Papon

Download or read book The Physics of Phase Transitions written by Pierre Papon and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Basics of Thermodynamics and Phase Transitions in Complex Intermetallics

Author : Esther Belin-Ferr
Publisher : World Scientific
ISBN 13 : 9812790586
Total Pages : 408 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Basics of Thermodynamics and Phase Transitions in Complex Intermetallics by : Esther Belin-Ferr

Download or read book Basics of Thermodynamics and Phase Transitions in Complex Intermetallics written by Esther Belin-Ferr and published by World Scientific. This book was released on 2008 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

Author : Subir Sachdev
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.

Phase Transitions and Crystal Symmetry

Author : I͡Uriĭ Aleksandrovich Izi͡umov
Publisher : Springer Science & Business Media
ISBN 13 : 9780792305422
Total Pages : 474 pages
Book Rating : 4.3/5 (54 download)

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Book Synopsis Phase Transitions and Crystal Symmetry by : I͡Uriĭ Aleksandrovich Izi͡umov

Download or read book Phase Transitions and Crystal Symmetry written by I͡Uriĭ Aleksandrovich Izi͡umov and published by Springer Science & Business Media. This book was released on 1990 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: About half a century ago Landau formulated the central principles of the phe nomenological second-order phase transition theory which is based on the idea of spontaneous symmetry breaking at phase transition. By means of this ap proach it has been possible to treat phase transitions of different nature in altogether distinct systems from a unified viewpoint, to embrace the aforemen tioned transitions by a unified body of mathematics and to show that, in a certain sense, physical systems in the vicinity of second-order phase transitions exhibit universal behavior. For several decades the Landau method has been extensively used to an alyze specific phase transitions in systems and has been providing a basis for interpreting experimental data on the behavior of physical characteristics near the phase transition, including the behavior of these characteristics in systems subject to various external effects such as pressure, electric and magnetic fields, deformation, etc. The symmetry aspects of Landau's theory are perhaps most effective in analyzing phase transitions in crystals because the relevant body of mathemat ics for this symmetry, namely, the crystal space group representation, has been worked out in great detail. Since particular phase transitions in crystals often call for a subtle symmetry analysis, the Landau method has been continually refined and developed over the past ten or fifteen years.

Phase Transitions in Combinatorial Optimization Problems

Author : Alexander K. Hartmann
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.

Phase Transitions in Machine Learning

Author : Lorenza Saitta
Publisher : Cambridge University Press
ISBN 13 : 1139496530
Total Pages : 401 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Phase Transitions in Machine Learning by : Lorenza Saitta

Download or read book Phase Transitions in Machine Learning written by Lorenza Saitta and published by Cambridge University Press. This book was released on 2011-06-16 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase transitions typically occur in combinatorial computational problems and have important consequences, especially with the current spread of statistical relational learning as well as sequence learning methodologies. In Phase Transitions in Machine Learning the authors begin by describing in detail this phenomenon, and the extensive experimental investigation that supports its presence. They then turn their attention to the possible implications and explore appropriate methods for tackling them. Weaving together fundamental aspects of computer science, statistical physics and machine learning, the book provides sufficient mathematics and physics background to make the subject intelligible to researchers in AI and other computer science communities. Open research issues are also discussed, suggesting promising directions for future research.

Reconstructive Phase Transitions

Author : Pierre Toldano
Publisher : World Scientific
ISBN 13 : 9789810223649
Total Pages : 424 pages
Book Rating : 4.2/5 (236 download)

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Book Synopsis Reconstructive Phase Transitions by : Pierre Toldano

Download or read book Reconstructive Phase Transitions written by Pierre Toldano and published by World Scientific. This book was released on 1996 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the phenomenological theory of first-order structural phase transitions, with a special emphasis on reconstructive transformations in which a group-subgroup relationship between the symmetries of the phases is absent. It starts with a unified presentation of the current approach to first-order phase transitions, using the more recent results of the Landau theory of phase transitions and of the theory of singularities. A general theory of reconstructive phase transitions is then formulated, in which the structures surrounding a transition are expressed in terms of density-waves, providing a natural definition of the transition order-parameters, and a description of the corresponding phase diagrams and relevant physical properties. The applicability of the theory is illustrated by a large number of concrete examples pertaining to the various classes of reconstructive transitions: allotropic transformations of the elements, displacive and order-disorder transformations in metals, alloys and related structures, crystal-quasicrystal transformations.

Non-Equilibrium Phase Transitions

Author : Malte Henkel
Publisher : Springer Science & Business Media
ISBN 13 : 9048128692
Total Pages : 562 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Non-Equilibrium Phase Transitions by : Malte Henkel

Download or read book Non-Equilibrium Phase Transitions written by Malte Henkel and published by Springer Science & Business Media. This book was released on 2011-01-19 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: “The importance of knowledge consists not only in its direct practical utility but also in the fact the it promotes a widely contemplative habit of mind; on this ground, utility is to be found in much of the knowledge that is nowadays labelled ‘useless’. ” Bertrand Russel, In Praise of Idleness, London (1935) “Why are scientists in so many cases so deeply interested in their work ? Is it merely because it is useful ? It is only necessary to talk to such scientists to discover that the utilitarian possibilities of their work are generally of secondary interest to them. Something else is primary. ” David Bohm, On creativity, Abingdon (1996) In this volume, the dynamical critical behaviour of many-body systems far from equilibrium is discussed. Therefore, the intrinsic properties of the - namics itself, rather than those of the stationary state, are in the focus of 1 interest. Characteristically, far-from-equilibrium systems often display - namical scaling, even if the stationary state is very far from being critical. A 1 As an example of a non-equilibrium phase transition, with striking practical c- sequences, consider the allotropic change of metallic ?-tin to brittle ?-tin. At o equilibrium, the gray ?-Sn becomes more stable than the silvery ?-Sn at 13. 2 C. Kinetically, the transition between these two solid forms of tin is rather slow at higher temperatures. It starts from small islands of ?-Sn, the growth of which proceeds through an auto-catalytic reaction.

Physics in a New Era

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309073421
Total Pages : 203 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Physics in a New Era by : National Research Council

Download or read book Physics in a New Era written by National Research Council and published by National Academies Press. This book was released on 2001-07-15 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics at the beginning of the twenty-first century has reached new levels of accomplishment and impact in a society and nation that are changing rapidly. Accomplishments have led us into the information age and fueled broad technological and economic development. The pace of discovery is quickening and stronger links with other fields such as the biological sciences are being developed. The intellectual reach has never been greater, and the questions being asked are more ambitious than ever before. Physics in a New Era is the final report of the NRC's six-volume decadal physics survey. The book reviews the frontiers of physics research, examines the role of physics in our society, and makes recommendations designed to strengthen physics and its ability to serve important needs such as national security, the economy, information technology, and education.

Lectures On Phase Transitions And The Renormalization Group

Author : Nigel Goldenfeld
Publisher : CRC Press
ISBN 13 : 0429962045
Total Pages : 417 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Lectures On Phase Transitions And The Renormalization Group by : Nigel Goldenfeld

Download or read book Lectures On Phase Transitions And The Renormalization Group written by Nigel Goldenfeld and published by CRC Press. This book was released on 2018-03-08 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the elementary aspects of the physics of phases transitions and the renormalization group, this popular book is widely used both for core graduate statistical mechanics courses as well as for more specialized courses. Emphasizing understanding and clarity rather than technical manipulation, these lectures de-mystify the subject and show precisely "how things work." Goldenfeld keeps in mind a reader who wants to understand why things are done, what the results are, and what in principle can go wrong. The book reaches both experimentalists and theorists, students and even active researchers, and assumes only a prior knowledge of statistical mechanics at the introductory graduate level.Advanced, never-before-printed topics on the applications of renormalization group far from equilibrium and to partial differential equations add to the uniqueness of this book.

Non-Equilibrium Phase Transitions

Author : Malte Henkel
Publisher : Springer Science & Business Media
ISBN 13 : 1402087659
Total Pages : 385 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Non-Equilibrium Phase Transitions by : Malte Henkel

Download or read book Non-Equilibrium Phase Transitions written by Malte Henkel and published by Springer Science & Business Media. This book was released on 2008-11-27 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes two main classes of non-equilibrium phase-transitions: static and dynamics of transitions into an absorbing state, and dynamical scaling in far-from-equilibrium relaxation behavior and ageing.

Social Sustainability, Past and Future

Author : Sander van der Leeuw
Publisher : Cambridge University Press
ISBN 13 : 1108498698
Total Pages : 533 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Social Sustainability, Past and Future by : Sander van der Leeuw

Download or read book Social Sustainability, Past and Future written by Sander van der Leeuw and published by Cambridge University Press. This book was released on 2020-02-13 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel, integrated approach to understanding long-term human history, viewing it as the long-term evolution of human information-processing. This title is also available as Open Access.

Entropies of Condensed Phases and Complex Systems

Author : Christian Spickermann
Publisher : Springer Science & Business Media
ISBN 13 : 364215736X
Total Pages : 233 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Entropies of Condensed Phases and Complex Systems by : Christian Spickermann

Download or read book Entropies of Condensed Phases and Complex Systems written by Christian Spickermann and published by Springer Science & Business Media. This book was released on 2011-01-18 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Predicting thermodynamic quantities for chemically realistic systems on the basis of atomistic calculations is still, even today, a nontrivial task. Nonetheless, accurate treatment of inter-particle interactions, in terms of quantum chemical first principles methods, is a prerequisite for many applications, because of the complexity of both reactants and solvents in modern molecular sciences. Currently, a straightforward calculation of thermodynamic properties from these methods is only possible for high-temperature and low- density systems. Although the enthalpy of a system can often be predicted to a good level of precision with this ideal gas approach, calculating the entropy contribution to the free energy is problematic, especially as the density of the system increases. This thesis contains a compact and coherent introduction of basic theoretical features. The foundations are then laid for the development of approaches suitable for calculation of condensed phase entropies on the basis of well-established quantum chemical methods. The main emphasis of this work is on realistic systems in solution, which is the most important environment for chemical synthesis. The presented results demonstrate how isolated molecular concepts typically employed in modern quantum chemistry can be extended for the accurate determination of thermodynamic properties by means of scale- transferring approaches.