Topics in Percolative and Disordered Systems, Alejandro F. Ram?rez; G?rard Ben Arous; Pablo A. F

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
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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.

Автор: Takashi Kumagai
Название: Random Walks on Disordered Media and their Scaling Limits
ISBN: 3319031511 ISBN-13(EAN): 9783319031514
Издательство: Springer
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Описание: In these lecture notes, we will analyze the behavior of random walk on disordered media by means of both probabilistic and analytic methods, and will study the scaling limits.

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
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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: 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
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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.

Автор: Emil Prodan
Название: A Computational Non-commutative Geometry Program for Disordered Topological Insulators
ISBN: 3319550225 ISBN-13(EAN): 9783319550220
Издательство: Springer
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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.

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
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Описание: Phase transitions in disordered systems and related dynamical phenomena are a topic of intrinsically high interest in theoretical and experimental physics.

Автор: Carlo Massobrio; Jincheng Du; Marco Bernasconi; Ph
Название: Molecular Dynamics Simulations of Disordered Materials
ISBN: 3319375156 ISBN-13(EAN): 9783319375151
Издательство: Springer
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Описание: This book is a unique reference work in the area of atomic-scale simulation of glasses. The book covers a wide range of systems covering "traditional" network glasses, such as chalcogenides and oxides, as well as glasses for applications in the area of phase change materials.

Автор: Manuel Osvaldo C?ceres
Название: Non-equilibrium Statistical Physics with Application to Disordered Systems
ISBN: 3319515527 ISBN-13(EAN): 9783319515526
Издательство: Springer
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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.