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Quantum And Semi Classical Percolation And Breakdown In Disordered Solids

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Quantum And Semi Classical Percolation And Breakdown In Disordered Solids

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Author : Asok K. Sen
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-20

Quantum And Semi Classical Percolation And Breakdown In Disordered Solids written by Asok K. Sen 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 2009-03-20 with Science categories.

This lecture notes in physics volume mainly focuses on the semi classical and qu- tum aspects of percolation and breakdown in disordered, composite or granular s- tems. The main reason for this undertaking has been the fact that, of late, there have been a lot of (theoretical) work on quantum percolation, but there is not even a (single) published review on the topic (and, of course, no book). Also, there are many theoretical and experimental studies on the nonlinear current-voltage characteristics both away from, as well as one approaches, an electrical breakdown in composite materials. Some of the results are quite intriguing and may broadly be explained utilising a semi classical (if not, fully quantum mechanical) tunnelling between - cron or nano-sized metallic islands dispersed separated by thin insulating layers, or in other words, between the dangling ends of small percolation clusters. There have also been several (theoretical) studies of Zener breakdown in Mott or Anderson in- lators. Again, there is no review available, connecting them in any coherent fashion. A compendium volume connecting these experimental and theoretical studies should be unique and very timely, and hence this volume. The book is organised as follows. For completeness, we have started with a short and concise introduction on classical percolation. In the ?rst chapter, D. Stauffer reviews the scaling theory of classical percolation emphasizing (biased) diffusion, without any quantum effects. The next chapter by A. K.

Quantum And Semi Classical Percolation And Breakdown In Disordered Solids

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Author : Asok K. Sen
language : en
Publisher: Springer
Release Date : 2010-11-16

Quantum And Semi Classical Percolation And Breakdown In Disordered Solids written by Asok K. Sen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-16 with Science categories.

Statistical Physics Of Fracture Breakdown And Earthquake

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Author : Soumyajyoti Biswas
language : en
Publisher: John Wiley & Sons
Release Date : 2015-05-04

Statistical Physics Of Fracture Breakdown And Earthquake written by Soumyajyoti Biswas and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-04 with Science categories.

In this book, the authors bring together basic ideas from fracture mechanics and statistical physics, classical theories, simulation and experimental results to make the statistical physics aspects of fracture more accessible. They explain fracture-like phenomena, highlighting the role of disorder and heterogeneity from a statistical physical viewpoint. The role of defects is discussed in brittle and ductile fracture, ductile to brittle transition, fracture dynamics, failure processes with tension as well as compression: experiments, failure of electrical networks, self-organized critical models of earthquake and their extensions to capture the physics of earthquake dynamics. The text also includes a discussion of dynamical transitions in fracture propagation in theory and experiments, as well as an outline of analytical results in fiber bundle model dynamics With its wide scope, in addition to the statistical physics community, the material here is equally accessible to engineers, earth scientists, mechanical engineers, and material scientists. It also serves as a textbook for graduate students and researchers in physics.

Excursions In Ill Condensed Quantum Matter

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Author : Adhip Agarwala
language : en
Publisher: Springer
Release Date : 2019-06-13

Excursions In Ill Condensed Quantum Matter written by Adhip Agarwala and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-13 with Science categories.

Impurities, disorder or amorphous systems – ill-condensed matter – are mostly considered inconveniences in the study of materials, which is otherwise heavily based on idealized perfect crystals. The Kondo effect and the scaling theory of localization are among the fundamental and early discoveries which revealed the novelty hidden in impure or disordered systems. Recent advances in condensed matter physics have emphasized the role of topology, spin-orbit coupling, and certain discrete symmetries such as time reversal in many physical phenomena. These have irreversibly transformed the essential ideas and purview of condensed matter physics, both in theoretical and experimental directions. However, many of these recent developments and their implications are limited to, or by, ideas that pertain to clean systems. This thesis deals with various aspects of these new developments, but in the case of unclean systems. The author introduces new ideas such as amorphous topological insulators, fractalized metals and fractionalized spins.

Localisation 2011

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Author : Stefan Kettemann
language : en
Publisher: World Scientific
Release Date : 2012

Localisation 2011 written by Stefan Kettemann and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Science categories.

The proceedings of Localisation 2011, a satellite conference of the 26th International Conference on Low Temperature Physics (LT26), comprise both invited and contributed papers that discuss the latest progress on localisation phenomena. The main topics include quantum transport in disordered systems (Anderson localisation, effects of interactions on localisation, AndersonOCoMott transition, mesoscopics), the superconductorOCoinsulator transition, quantum Hall effects (fractional and integer), topological insulators, graphene, dynamical localisation, heavy fermions (Kondo effect, Kondo lattice, effects of disorder), and many body localisation (spin-glass, Coulomb glass). The volume is also dedicated to Professor Bernard Coqblin, former CNRS Directeur de Recherche and a Honorary Chairman of the AMS-APCTP Conference Localisation 2011, whose contribution to condensed matter theory will always be remembered.

Long Memory Processes

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Author : Jan Beran
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-05-14

Long Memory Processes written by Jan Beran 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 2013-05-14 with Mathematics categories.

Long-memory processes are known to play an important part in many areas of science and technology, including physics, geophysics, hydrology, telecommunications, economics, finance, climatology, and network engineering. In the last 20 years enormous progress has been made in understanding the probabilistic foundations and statistical principles of such processes. This book provides a timely and comprehensive review, including a thorough discussion of mathematical and probabilistic foundations and statistical methods, emphasizing their practical motivation and mathematical justification. Proofs of the main theorems are provided and data examples illustrate practical aspects. This book will be a valuable resource for researchers and graduate students in statistics, mathematics, econometrics and other quantitative areas, as well as for practitioners and applied researchers who need to analyze data in which long memory, power laws, self-similar scaling or fractal properties are relevant.