Kinetically Constrained Models
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Kinetically Constrained Models
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Author : Ivailo Hartarsky
language : en
Publisher: Springer Nature
Release Date : 2025-08-19
Kinetically Constrained Models written by Ivailo Hartarsky and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-19 with Science categories.
This book offers an in-depth review of kinetically constrained models (KCMs), a topic that lies at the crossroads of probability and statistical mechanics. KCMs have captivated physicists ever since their introduction in the 1980s. Their remarkable glassy behavior makes them an essential toy model for exploring the liquid–glass transition, a longstanding puzzle in condensed matter physics. Over the past 20 years, KCMs have also gained significant attention in mathematics. Despite belonging to the well-established domain of interacting particle systems with stochastic dynamics, the presence of dynamical constraints gives rise to novel phenomena. These include anomalously long mixing times, aging effects, singularities in the dynamical large deviation function, dynamical heterogeneities, and atypical ergodicity-breaking transitions corresponding to the emergence of a large variety of amorphous structures. Authored by two leading experts in the field, this volume offers an extensive overview of rigorous results in the field. The self-contained exposition, with emphasis on high-level ideas and common techniques, is suitable for novices, as well as seasoned researchers, with backgrounds in mathematics or physics. The text covers crucial connections to bootstrap percolation cellular automata, along with sharp thresholds, universality, out-of-equilibrium dynamics, and more. The volume features challenging open questions and a detailed bibliography to direct future research. Whether as a reference or a study guide, it is a valuable resource for those interested in KCM.
Kinetically Constrained Models
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Author : Ivailo Hartarsky
language : en
Publisher: Springer
Release Date : 2025-06-28
Kinetically Constrained Models written by Ivailo Hartarsky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-28 with Science categories.
This book offers an in-depth review of kinetically constrained models (KCMs), a topic that lies at the crossroads of probability and statistical mechanics. KCMs have captivated physicists ever since their introduction in the 1980s. Their remarkable glassy behavior makes them an essential toy model for exploring the liquid–glass transition, a longstanding puzzle in condensed matter physics. Over the past 20 years, KCMs have also gained significant attention in mathematics. Despite belonging to the well-established domain of interacting particle systems with stochastic dynamics, the presence of dynamical constraints gives rise to novel phenomena. These include anomalously long mixing times, aging effects, singularities in the dynamical large deviation function, dynamical heterogeneities, and atypical ergodicity-breaking transitions corresponding to the emergence of a large variety of amorphous structures. Authored by two leading experts in the field, this volume offers an extensive overview of rigorous results in the field. The self-contained exposition, with emphasis on high-level ideas and common techniques, is suitable for novices, as well as seasoned researchers, with backgrounds in mathematics or physics. The text covers crucial connections to bootstrap percolation cellular automata, along with sharp thresholds, universality, out-of-equilibrium dynamics, and more. The volume features challenging open questions and a detailed bibliography to direct future research. Whether as a reference or a study guide, it is a valuable resource for those interested in KCM.
Kinetically Constrained Models And Glassy Dynamics
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Author : Cristina Toninelli
language : en
Publisher:
Release Date : 2003
Kinetically Constrained Models And Glassy Dynamics written by Cristina Toninelli and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Relation Between Structure And Dynamics In Kinetically Constrained Models
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Author : Eial Teomy
language : en
Publisher:
Release Date : 2016
Relation Between Structure And Dynamics In Kinetically Constrained Models written by Eial Teomy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
New Trends In Mathematical Physics
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Author : Vladas Sidoravicius
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-31
New Trends In Mathematical Physics written by Vladas Sidoravicius 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 2009-08-31 with Science categories.
This book collects selected papers written by invited and plenary speakers of the 15th International Congress on Mathematical Physics (ICMP) in the aftermath of the conference. In extensive review articles and expository texts as well as advanced research articles the world leading experts present the state of the art in modern mathematical physics. New mathematical concepts and ideas are introduced by prominent mathematicalphysicists and mathematicians, covering among others the fields of Dynamical Systems, Operator Algebras, Partial Differential Equations, Probability Theory, Random Matrices, Condensed Matter Physics, Statistical Mechanics, General Relativity, Quantum Mechanics, Quantum Field Theory, Quantum Information and String Theory. All together the contributions in this book give a panoramic view of the latest developments in mathematical physics. They will help readers with a general interest in mathematical physics to get an update on the most recent developments in their field, and give a broad overview on actual and future research directions in this fascinating and rapidly expanding area.
Methods Of Contemporary Mathematical Statistical Physics
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Author : Marek Biskup
language : en
Publisher: Springer
Release Date : 2009-07-31
Methods Of Contemporary Mathematical Statistical Physics written by Marek Biskup and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-31 with Mathematics categories.
This volume presents a collection of courses introducing the reader to the recent progress with attention being paid to laying solid grounds and developing various basic tools. It presents new results on phase transitions for gradient lattice models.
Topological Aspects Of Condensed Matter Physics
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Author : Claudio Chamon
language : en
Publisher: Oxford University Press
Release Date : 2017-02-16
Topological Aspects Of Condensed Matter Physics written by Claudio Chamon and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-16 with Science categories.
This book contains lecture notes by world experts on one of the most rapidly growing fields of research in physics. Topological quantum phenomena are being uncovered at unprecedented rates in novel material systems. The consequences are far reaching, from the possibility of carrying currents and performing computations without dissipation of energy, to the possibility of realizing platforms for topological quantum computation.The pedagogical lectures contained in this book are an excellent introduction to this blooming field. The lecture notes are intended for graduate students or advanced undergraduate students in physics and mathematics who want to immerse in this exciting XXI century physics topic. This Les Houches Summer School presents an overview of this field, along with a sense of its origins and its placement on the map of fundamental physics advancements. The School comprised a set of basic lectures (part 1) aimed at a pedagogical introduction of the fundamental concepts, which was accompanied by more advanced lectures (part 2) covering individual topics at the forefront of today's research in condensed-matter physics.
Glassy Materials And Disordered Solids An Introduction To Their Statistical Mechanics Revised Edition
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Author : Kurt Binder
language : en
Publisher: World Scientific Publishing Company
Release Date : 2011-01-31
Glassy Materials And Disordered Solids An Introduction To Their Statistical Mechanics Revised Edition written by Kurt Binder and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-31 with Science categories.
This book gives a pedagogical introduction to the physics of amorphous solids and related disordered condensed matter systems. Important concepts from statistical mechanics such as percolation, random walks, fractals and spin glasses are explained. Using these concepts, the common aspects of these systems are emphasized, and the current understanding of the glass transition and the structure of glasses are concisely reviewed. This second edition includes new material on emerging topics in the field of disordered systems such as gels, driven systems, dynamical heterogeneities, growing length scales etc. as well as an update of the literature in this rapidly developing field.
Dynamical Heterogeneities In Glasses Colloids And Granular Media
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Author : Ludovic Berthier
language : en
Publisher: OUP Oxford
Release Date : 2011-07-14
Dynamical Heterogeneities In Glasses Colloids And Granular Media written by Ludovic Berthier and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-14 with Science categories.
Most of the solid materials we use in everyday life, from plastics to cosmetic gels exist under a non-crystalline, amorphous form: they are glasses. Yet, we are still seeking a fundamental explanation as to what glasses really are and to why they form. In this book, we survey the most recent theoretical and experimental research dealing with glassy physics, from molecular to colloidal glasses and granular media. Leading experts in this field present broad and original perspectives on one of the deepest mysteries of condensed matter physics, with an emphasis on the key role played by heterogeneities in the dynamics of glassiness.
Unifying Concepts In Granular Media And Glasses
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Author : Antonio Coniglio
language : en
Publisher: Elsevier
Release Date : 2004-06-30
Unifying Concepts In Granular Media And Glasses written by Antonio Coniglio and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-30 with Science categories.
Deep connections are emerging in the physics of non-thermal systems,such as granular media, and other "complex systems" such as glass formers, spin glasses, colloids or gels. This book discusses the unifying physical theories, developed in recent years, for the description of these systems. The special focus of the book is on recent important developments in the formulation of a Statistical Mechanics approach to granular media and the description of out-of-equilibrium dynamics, such as "jamming" phenomena, ubiquitous in these "complex systems". The book collects contributions from leading researchers in these fields, providing both an introduction, at a graduate level, to these rapidly developing subjects and featuring an up to date, self contained, presentation of theoretical and experimental developments for researchers in areas ranging from Chemistry, to Engineering and Physical Sciences.·the book discusses very hot topics in physical sciences·it includes contributions from the most prominent researchers in the area·it is clearly written and self contained