Random Walks on Disordered Media and their Scaling Limits, Takashi Kumagai

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: Fran?ois P. Landes
Название: Viscoelastic Interfaces Driven in Disordered Media
ISBN: 331936992X ISBN-13(EAN): 9783319369921
Издательство: Springer
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Описание: This book offers an in-depth study of two well-known models of "avalanche" dynamics, modified minimally by the inclusion of relaxation. The second model is a non-Markovian variant of Directed Percolation, in which we observe that the universality class is only partly modified by relaxation, a promising finding with respect to our first model.

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.

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
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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: Errico Presutti
Название: Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics
ISBN: 3642092365 ISBN-13(EAN): 9783642092367
Издательство: Springer
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Описание: Collective behavior in systems with many components, blow-ups with emergence of microstructures are proofs of the double, continuum and atomistic, nature of macroscopic systems, an issue which has always intrigued scientists and philosophers.

Автор: Vicsek, Tamas
Название: Fluctuations and Scaling in Biology (Paperback)
ISBN: 0198507909 ISBN-13(EAN): 9780198507901
Издательство: Oxford Academ
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Описание: During the last decade the well established tools of statistical physics have been sucessfully appled to an increasing number of biological phenomena, including fractal pattern formation, group motion in organisms from bacteria to humans, and the mechanisms by which fluctuations are rectified in the cells molecular machinery.

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: 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: 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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Цена: 20896.00 р.
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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: 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: Errico Presutti
Название: Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics
ISBN: 3540733043 ISBN-13(EAN): 9783540733041
Издательство: Springer
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Описание: Focusing on the links connecting statistical and continuum mechanics, this book introduces both theories before leading on to actual research themes. Mathematical techniques and methods from probability, calculus of variations and PDE are discussed at length.