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

Author: Yurij Holovatch

Publisher: World Scientific

Published: 2020-06-22

Total Pages: 294

ISBN-13: 9811216231

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.

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

Author: Holovatch Yurij

Publisher: World Scientific

Published: 2017-12-28

Total Pages: 412

ISBN-13: 9813232110

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This book is the fifth volume of papers on advanced problems of phase transitions and critical phenomena, the first four volumes appeared in 2004, 2007, 2012, and 2015. It aims to compile reviews in those aspects of criticality and related subjects that are of current interest. The seven 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 the first four 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 subject. Contents: Statistical Properties of One-Dimensional Directed Polymers in a Random Potential (V Dotsenko)Non-Euclidean Geometry in Nature (S Nechaev)Dynamics of Polymers: Classic Results and Recent Developments (M V Tamm and K Polovnikov)Generalized Ensemble Computer Simulations of Macromolecules (W Janke)Photo-Controllable Networks in Macromolecular Solutions and Blends (J M Ilnytskyi)Monte Carlo Methods for Massively Parallel Computers (M Weigel)Complex Networks and Infrastructural Grids (A Scala) Readership: Advanced undergraduates and graduate students, researchers and scientists interested in phase transitions and critical phenomena. Keywords: Phase Transitions;Criticality;Scaling;Complex SystemsReview:0

Order, Disorder and Criticality

Author: Yurij Holovatch

Publisher: World Scientific

Published: 2004

Total Pages: 312

ISBN-13: 9789812565440

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This book is the second volume of review papers on advanced problems of phase transitions and critical phenomena, following the success of the first volume in 2004. Broadly, the volume aims to demonstrate that the phase transition theory, which experienced its ''golden age'' during the 70s and 80s, is far from over and there is still a good deal of work to be done, both at the fundamental level and in respect of applications.The topics presented in this volume include: critical behavior as explained by the non-perturbative renormalization group, critical dynamics, a spacetime approach to phase transitions, self-organized criticality, and exactly solvable models of phase transitions in strongly correlated systems. As the first volume, this book is based on the review lectures that were given in Lviv (Ukraine) at the OC Ising lecturesOCO OCo a traditional annual workshop on phase transitions and critical phenomena which brings together scientists working in the field with university students and those who are interested in the subject."

Order, Disorder And Criticality: Advanced Problems Of Phase Transition Theory - Volume 3

Author: Yurij Holovatch

Publisher: World Scientific

Published: 2012-08-29

Total Pages: 248

ISBN-13: 9814417904

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This book is the third volume of review papers on advanced problems of phase transitions and critical phenomena, following the success of the first two volumes in 2004 and in 2007. Broadly, the book aims to demonstrate that the phase transition theory, which experienced its ‘golden age’ during the 70s and 80s, is far from over and there is still a good deal of work to be done, both at the fundamental level and in respect of applications.This volume presents a broad spectrum of problems connected with criticality. It covers its theoretical backgrounds, analytical approaches and numerical simulations to describe criticality in specific systems (ionic fluids, diluted magnets, polymers), as well as phase transitions on complex networks and in the minority game model. As the first two 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 brings together scientists working in the field with university students and those who are interested in the subject.

Order, Disorder And Criticality: Advanced Problems Of Phase Transition Theory - Volume 7

Author: Yurij Holovatch

Publisher: World Scientific

Published: 2022-12-06

Total Pages: 264

ISBN-13: 9811260443

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This book is the seventh volume of review chapters on advanced problems of phase transitions and critical phenomena, the former six volumes appeared in 2004, 2007, 2012, 2015, 2018, and 2020. The aim of the book is to provide reviews in those aspects of criticality and related subjects that are currently attracting much attention due to essential new contributions.The book consists of five chapters. They discuss criticality of complex systems, where the new, emergent properties appear via collective behaviour of simple elements as well as historical aspects of studies in the field of critical phenomena. 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 the first six volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the 'Ising lectures' — a traditional annual workshop on complex systems, phase transitions and critical phenomena which aims to bring together experts in these fields with university students and those who are interested in the subject.

Order, Disorder And Criticality: Advanced Problems Of Phase Transition Theory - Volume 2

Author: Yurij Holovatch

Publisher: World Scientific

Published: 2007-07-05

Total Pages: 306

ISBN-13: 981447522X

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This book is the second volume of review papers on advanced problems of phase transitions and critical phenomena, following the success of the first volume in 2004. Broadly, the volume aims to demonstrate that the phase transition theory, which experienced its 'golden age' during the 70s and 80s, is far from over and there is still a good deal of work to be done, both at the fundamental level and in respect of applications.The topics presented in this volume include: critical behavior as explained by the non-perturbative renormalization group, critical dynamics, a spacetime approach to phase transitions, self-organized criticality, and exactly solvable models of phase transitions in strongly correlated systems. As the first volume, 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 brings together scientists working in the field with university students and those who are interested in the subject.

Order, Disorder and Criticality

Author: Yurij Holovatch

Publisher:

Published: 2004

Total Pages: 287

ISBN-13: 9789812385833

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Order, Disorder And Critically: Advanced Problems Of Phase Transition Theory - Volume 4

Author: Yurij Holovatch

Publisher: World Scientific

Published: 2015-03-26

Total Pages: 230

ISBN-13: 9814632694

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This book is the fourth in the series of review papers on advanced problems of phase transitions and critical phenomena, the first three volumes appeared in 2004, 2007, and 2012. It presents reviews in those aspects of criticality and related subjects that have currently attracted much attention due to new and essential contributions. The contents are divided into five chapters, and they include: anomalous diffusion, kinetics of pattern formation, scaling, renormalization group approaches in soft matter and socio-physics, Monte Carlo simulation of critical Casimir forces.As with the first three 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 these fields with university students and those who are interested in the subject.

Elements of Phase Transitions and Critical Phenomena

Author: Hidetoshi Nishimori

Publisher: Oxford University Press

Published: 2011

Total Pages: 373

ISBN-13: 0199577226

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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.

The Statistical Mechanics of Quantum Lattice Systems

Author:

Publisher: European Mathematical Society

Published: 2009

Total Pages: 402

ISBN-13: 9783037190708

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Quantum statistical mechanics plays a major role in many fields such as thermodynamics, plasma physics, solid-state physics, and the study of stellar structure. While the theory of quantum harmonic oscillators is relatively simple, the case of anharmonic oscillators, a mathematical model of a localized quantum particle, is more complex and challenging. Moreover, infinite systems of interacting quantum anharmonic oscillators possess interesting ordering properties with respect to quantum stabilization. This book presents a rigorous approach to the statistical mechanics of such systems, in particular with respect to their actions on a crystal lattice. The text is addressed to both mathematicians and physicists, especially those who are concerned with the rigorous mathematical background of their results and the kind of problems that arise in quantum statistical mechanics. The reader will find here a concise collection of facts, concepts, and tools relevant for the application of path integrals and other methods based on measure and integration theory to problems of quantum physics, in particular the latest results in the mathematical theory of quantum anharmonic crystals. The methods developed in the book are also applicable to other problems involving infinitely many variables, for example, in biology and economics.