Описание: This textbook is the result of the enhancement of several courses on non-equilibrium statistics, stochastic processes, stochastic differential equations, anomalous diffusion and disorder.
Описание: This book offers a unified perspective on the study of complex systems with contributions written by leading scientists from various disciplines, including mathematics, physics, computer science, biology, economics and social science. It is written for researchers from a broad range of scientific fields with an interest in recent developments in complex systems.
Описание: This book investigates phase transitions and critical phenomena in disordered systems driven out of equilibrium. First, the author derives a dimensional reduction property that relates the long-distance physics of driven disordered systems to that of lower dimensional pure systems. By combining this property with a modern renormalization group technique, the critical behavior of random field spin models driven at a uniform velocity is subsequently investigated. The highlight of this book is that the driven random field XY model is shown to exhibit the Kosterlitz–Thouless transition in three dimensions. This is the first example of topological phase transitions in which the competition between quenched disorder and nonequilibrium driving plays a crucial role. The book also includes a pedagogical review of a renormalizaion group technique for disordered systems.
Описание: This book investigates phase transitions and critical phenomena in disordered systems driven out of equilibrium. First, the author derives a dimensional reduction property that relates the long-distance physics of driven disordered systems to that of lower dimensional pure systems.
Автор: Bovier, Anton Lawler, Gregory F. Brydges, David C. Ioffe, Dmitry Coja-oghlan, Amin Название: Random walks, random fields, and disordered systems ISBN: 3319193384 ISBN-13(EAN): 9783319193380 Издательство: Springer Рейтинг: Цена: 5487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Anton Bovier: From spin glasses to branching Brownian motion - and back?.- David Brydges: The Renormalization Group and Self-AvoidingWalk.- Amin Coja-Oghlan: Phase Transitions in Discrete Structures.- Dmitry Ioffe: Multidimensional Random Polymers: A Renewal Approach.- Gregory F. Lawler and Jacob Perlman: Loop measures and the Gaussian free field.
Описание: Assuming only an undergraduate-level background in mathematics, this book explains the power of thinking probabilistically through a diverse set of applications drawn from science. It covers a wide range of topics never before discussed together in a unified fashion while keeping technicalities to a minimum.
Автор: G?nter Radons; Wolfram Just; Peter H?ussler Название: Collective Dynamics of Nonlinear and Disordered Systems ISBN: 3642438202 ISBN-13(EAN): 9783642438202 Издательство: Springer Рейтинг: Цена: 20123.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Phase transitions in disordered systems and related dynamical phenomena are a topic of intrinsically high interest in theoretical and experimental physics.
Автор: Alejandro F. Ram?rez; G?rard Ben Arous; Pablo A. F Название: Topics in Percolative and Disordered Systems ISBN: 1493944770 ISBN-13(EAN): 9781493944774 Издательство: Springer Рейтинг: Цена: 13415.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Topics include developments based on breakthroughs in the mathematical understanding of phenomena describing systems in highly inhomogeneous and disordered media, including the KPZ universality class (describing the evolution of interfaces in two dimensions), random walks in random environment and percolative systems.
Автор: Alejandro F. Ram?rez; G?rard Ben Arous; Pablo A. F Название: Topics in Percolative and Disordered Systems ISBN: 1493903381 ISBN-13(EAN): 9781493903382 Издательство: Springer Рейтинг: Цена: 18294.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Topics include developments based on breakthroughs in the mathematical understanding of phenomena describing systems in highly inhomogeneous and disordered media, including the KPZ universality class (describing the evolution of interfaces in two dimensions), random walks in random environment and percolative systems.
Описание: Disordered Topological Insulators: A Brief Introduction.- Homogeneous Materials.- Homogeneous Disordered Crystals.- Classification of Homogenous Disordered Crystals.- Electron Dynamics: Concrete Physical Models.- Notations and Conventions.- Physical Models.- Disorder Regimes.- Topological Invariants.- The Non-Commutative Brillouin Torus.- Disorder Configurations and Associated Dynamical Systems.- The Algebra of Covariant Physical Observables.- Fourier Calculus.- Differential Calculus.- Smooth Sub-Algebra.- Sobolev Spaces.- Magnetic Derivations.- Physics Formulas.- The Auxiliary C*-Algebras.- Periodic Disorder Configurations.- The Periodic Approximating Algebra.- Finite-Volume Disorder Configurations.- The Finite-Volume Approximating Algebra.- Approximate Differential Calculus.- Bloch Algebras.- Canonical Finite-Volume Algorithm.- General Picture.- Explicit Computer Implementation.- Error Bounds for Smooth Correlations.- Assumptions.- First Round of Approximations.- Second Round of Approximations.- Overall Error Bounds.- Applications: Transport Coefficients at Finite Temperature.- The Non-Commutative Kubo Formula.- The Integer Quantum Hall Effect.- Chern Insulators.- Error Bounds for Non-Smooth Correlations.- The Aizenman-Molchanov Bound.- Assumptions.- Derivation of Error Bounds.- Applications II: Topological Invariants.- Class AIII in d = 1.- Class A in d = 2.- Class AIII in d = 3.- References.
Описание: Describes and interrelates the following processes: cooperative alpha processes in a cold liquid, structural relaxation in the glass near Tg, the Johari-Goldstein beta process, the Williams-Gotze process in a warm liquid, fast nonactivated cage rattling and boson peak, and ultraslow Fischer modes.
Автор: Asok K. Sen; Kamal K. Bardhan; Bikas K. Chakrabart Название: Quantum and Semi-classical Percolation and Breakdown in Disordered Solids ISBN: 3642099114 ISBN-13(EAN): 9783642099113 Издательство: Springer Рейтинг: Цена: 11397.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book seeks to connect theoretical and experimental advances in quantum percolation methods applied to breakdown phenomena in composite materials. The final chapter explores the application of these methods to quantum computing and communication.
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