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Author: Alexander Altland Publisher: Cambridge University Press ISBN: 0521769752 Category : Science Languages : en Pages : 785
Book Description
This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.
Author: Alexander Altland Publisher: Cambridge University Press ISBN: 0521769752 Category : Science Languages : en Pages : 785
Book Description
This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.
Author: William T. Coffey Publisher: John Wiley & Sons ISBN: 0470141999 Category : Science Languages : en Pages : 782
Book Description
Russian contributors provide a synthesis of ideas drawn from dielectric, magnetic and elastic relaxation. Divided into three sections, the book commences with dielectric and related processes in simple liquids. Part two deals with the structure and dielectric relaxation of aqueous solutions. Lastly, it addresses magnetic and dielectric relaxation in liquid crystals and elastic relaxation in orientable polymers.
Author: Sushanta Dattagupta Publisher: Elsevier ISBN: 0323155820 Category : Science Languages : en Pages : 326
Book Description
Relaxation Phenomena in Condensed Matter Physics features various methods for spectroscopy techniques presented in this book and the relation of these techniques to correlation functions. This book aims to present the similarities and differences between different studies of the relaxation phenomena and to come up with a unified theoretical approach. This text is divided into two major parts, A and B. Part A deals briefly with several spectroscopy experiments and how they can be analyzed in terms of correlation functions. Spectroscopy techniques are likewise discussed in this part. Part B focuses on the stochastic theory of the said correlation functions, where each stochastic model is situated in the context of a physical process. The result of the calculations is then related to one of the experiments featured in Part A. These stochastic methods provide a simple mathematical framework in analyzing relaxation phenomena that can be related to diffusion process. This book is targeted to graduate students who have already taken quantum and statistical physics and is a good reference to students, scientists, and researchers in the field of condensed matter physics.
Author: Sushanta Dattagupta Publisher: Springer Science & Business Media ISBN: 3662067587 Category : Science Languages : en Pages : 315
Book Description
A reference and text, Dissipative Phenomena treats the broadly applicable area of nonequilibrium statistical physics and concentrates the modelling and characterization of dissipative phenomena. A variety of examples from diverse disciplines, such as condensed matter physics, materials science, metallurgy, chemical physics, are discussed. Dattagupta employs a broad framework of stochastic processes and master equation techniques to obtain models for a range of experimentally relevant phenomena such as classical and quantum Brownian motion, spin dynamics, kinetics of phase ordering, relaxation in glasses, and dissipative tunnelling. This book will serve as a graduate/research level textbook since it offers considerable utility to experimentalists, computational physicists and theorists.
Author: Myron W. Evans Publisher: John Wiley & Sons ISBN: 0470143320 Category : Science Languages : en Pages : 883
Book Description
Featuring the work of an international group of scholars, this volume covers the transport properties and Soliton models of Polyacetylene, development and application of the theory of Brownian Motion, the fading of memory during the regression of structural fluctuations, the breakdown of the Kramers Theory as a problem of correct modeling, and more.
Author: Xavier Leoncini Publisher: World Scientific ISBN: 9814470759 Category : Science Languages : en Pages : 378
Book Description
This book aims to provide the readers with a wide panorama of different aspects related to Chaos, Complexity and Transport. It consists of a collection of contributions ranging from applied mathematics to experiments, presented during the CCT'07 conference (Marseilles, June 4-8, 2007). The book encompasses different traditional fields of physics and mathematics while trying to keep a common language among the fields, and targets a nonspecialized audience.
Author: Dumitru Baleanu Publisher: Springer Science & Business Media ISBN: 1461404576 Category : Technology & Engineering Languages : en Pages : 302
Book Description
Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results. This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in fractional calculus to solving complicated mathematical and physical problems.Finally, this book also discusses the role that fractional order modeling can play in complex systems for engineering and science.
Author: Vladimir Vasilʹevich Uchaĭkin Publisher: World Scientific ISBN: 9814355429 Category : Mathematics Languages : en Pages : 274
Book Description
The standard (Markovian) transport model based on the Boltzmann equation cannot describe some non-equilibrium processes called anomalous that take place in many disordered solids. Causes of anomality lie in non-uniformly scaled (fractal) spatial heterogeneities, in which particle trajectories take cluster form. Furthermore, particles can be located in some domains of small sizes (traps) for a long time. Estimations show that path length and waiting time distributions are often characterized by heavy tails of the power law type. This behavior allows the introduction of time and space derivatives of fractional orders. Distinction of path length distribution from exponential is interpreted as a consequence of media fractality, and analogous property of waiting time distribution as a presence of memory. In this book, a novel approach using equations with derivatives of fractional orders is applied to describe anomalous transport and relaxation in disordered semiconductors, dielectrics and quantum dot systems. A relationship between the self-similarity of transport, the Levy stable limiting distributions and the kinetic equations with fractional derivatives is established. It is shown that unlike the well-known Scher Montroll and Arkhipov Rudenko models, which are in a sense alternatives to the normal transport model, fractional differential equations provide a unified mathematical framework for describing normal and dispersive transport. The fractional differential formalism allows the equations of bipolar transport to be written down and transport in distributed dispersion systems to be described. The relationship between fractional transport equations and the generalized limit theorem reveals the probabilistic aspects of the phenomenon in which a dispersive to Gaussian transport transition occurs in a time-of-flight experiment as the applied voltage is decreased and/or the sample thickness increased. Recent experiments devoted to studies of transport in quantum dot arrays are discussed in the framework of dispersive transport models. The memory phenomena in systems under consideration are discussed in the analysis of fractional equations. It is shown that the approach based on the anomalous transport models and the fractional kinetic equations may be very useful in some problems that involve nano-sized systems. These are photon counting statistics of blinking single quantum dot fluorescence, relaxation of current in colloidal quantum dot arrays, and some others.
Author: Alexander Altland
Author: Alexander Altland
Author: 
Author: William T. Coffey
Author: Daniel W. Hone
Author: Sushanta Dattagupta
Author: Sushanta Dattagupta
Author: Myron W. Evans
Author: Xavier Leoncini
Author: Dumitru Baleanu
Author: Vladimir Vasilʹevich Uchaĭkin