Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions, Yuriy M. Bunkov; Henri Godfrin

Автор: Yuriy M. Bunkov; Henri Godfrin
Название: Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions
ISBN: 0792362047 ISBN-13(EAN): 9780792362043
Издательство: Springer
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Описание: Topological defects formed at symmetry-breaking phase transitions play an important role in different fields of physics. This book begins with a "Condensed Matter: High Energy and Cosmology" dictionary, which gives a basis to ideas pertaining to these branches of modern physics. It also provides the concepts of symmetry-breaking phase transitions.

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: Malte Henkel; Michel Pleimling
Название: Non-Equilibrium Phase Transitions
ISBN: 9401783721 ISBN-13(EAN): 9789401783729
Издательство: Springer
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Описание: Dynamical scaling is key to our understanding of `far from equilibrium` relaxation. Where Volume 1 of this set covered the statics and dynamics of transitions into an absorbing state, this one treats relaxation phenomena far from equilibrium and ageing.

Автор: Malte Henkel; Haye Hinrichsen; Sven L?beck
Название: Non-Equilibrium Phase Transitions
ISBN: 9400796609 ISBN-13(EAN): 9789400796607
Издательство: Springer
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Описание: This book describes two main classes of non-equilibrium phase-transitions: static and dynamics of transitions into an absorbing state, and dynamical scaling in far-from-equilibrium relaxation behavior and ageing.