Real space renormalization (21 Ergebnisse)

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Buch. Zustand: Neu. Neuware - This book aims to present a concise introduction, for graduate students and researchers, to powerful techniques and important concepts in condensed matter physics. Key conceptual elements include the fluctuation-dissipation theorem, the theory of critical phenomena (both classical and quantum) and the renormalization group. The book focuses on the Green's functions method and the real space renormalization group (RG). The Green's function method has been used extensively to study a large variety of problems in physics. The authors present a generalized version of the Green's Function method that allows one to use perturbation theory including time dependent perturbations. This can be used to treat a variety of new fundamental problems in condensed matter, such as quantum and topological phase transitions. The real space renormalization group is a highly intuitive method to introduce main concepts in statistical mechanics and the theory of phase transitions. The book discusses the notion of scale invariance, stable and unstable fixed points, flow in parameter space, crossover and relevant and irrelevant perturbations. These will be illustrated with several examples. The book illustrates that the real space RG is very useful for treating problems such as percolation and localized magnetism as described, for example, by the Ising model.The book considers problems in both pure and disordered condensed matter systems and discusses the new effects introduced by the latter. The book presents the solutions of some fundamental problems in condensed matter physics using the methods and tools introduced in the chapters. The calculations will be carried out with step-by-step details to help readers master the techniques. Finally, the book explores how the Green's functions and real space RG techniques detailed can be used to study modern problems arising from the consideration of topological aspects of condensed matter. Key Features: - Provides a generalization of the Green's function method that allows for the treatment of a much larger variety of problems, which should encourage people to study and use it. - Suitable for readers who want to learn about real space renormalization group (RG), whilst avoiding Feynman diagrams and perturbation expansions. The ideas and methods will be introduced by considering different examples. - Contains material that can be covered within a semester and is therefore not too long. - Provides the reader with the tools to tackle their own problems. - Considers actual problems in condensed matter physics such as; quantum phase transition, topological aspects of condensed matter and the effect of disorder on physical properties.…

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The renormalization-group approach is largely responsible for the considerable success which has been achieved in the last ten years in developing a complete quantitative theory of phase transitions. Before, there was a useful physical picture of phase transitions, but a general method for making accurate quantitative predictions was lacking. Existent theories, such as the mean-field theory of Landau, sometimes reproduce phase diagrams reliably but were known to fail qualitatively near critical points, where the critical behavior is particularly interesting be cause of its universal character. In the mid 1960's Widom found that the singularities in thermodynamic quanti ties were well described by homogeneous functions. Kadanoff extended the homogeneity hypothesis to correlation functions and linked it to the idea of scale invariance. In the early 1970's Wilson showed how Kadanoff's rescaling could be explicitly carried out near the fixed point of a flow in Hamiltonian space. He made the first practical renormalization-group calculation of the flow induced by the elimination of short-wave-length Fourier components of the order-parameter field. The univer sality of the critical behavior emerges in a natural way in this approach, with a different fixed point for each universality class. The discovery by Wilson and Fisher of a systematic expansion procedure in E for a system in d = 4 - E dimen sions was followed by a cascade of calculations of critical quantities as a function of d and of the order-parameter dimensionality n.…

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Gebunden. Zustand: New. &Uumlber den AutorMucio Amado Continentino is a Full Professor at The Brazilian Center for Research in Physics (CBPF). He is a member of the Brazilian Academy of Sciences and has published more than 250 papers in the field of condensed .

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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The renormalization-group approach is largely responsible for the considerable success which has been achieved in the last ten years in developing a complete quantitative theory of phase transitions. Before, there was a useful physical picture of phase transitions, but a general method for making accurate quantitative predictions was lacking. Existent theories, such as the mean-field theory of Landau, sometimes reproduce phase diagrams reliably but were known to fail qualitatively near critical points, where the critical behavior is particularly interesting be cause of its universal character. In the mid 1960's Widom found that the singularities in thermodynamic quanti ties were well described by homogeneous functions. Kadanoff extended the homogeneity hypothesis to correlation functions and linked it to the idea of scale invariance. In the early 1970's Wilson showed how Kadanoff's rescaling could be explicitly carried out near the fixed point of a flow in Hamiltonian space. He made the first practical renormalization-group calculation of the flow induced by the elimination of short-wave-length Fourier components of the order-parameter field. The univer sality of the critical behavior emerges in a natural way in this approach, with a different fixed point for each universality class. The discovery by Wilson and Fisher of a systematic expansion procedure in E for a system in d = 4 - E dimen sions was followed by a cascade of calculations of critical quantities as a function of d and of the order-parameter dimensionality n. 236 pp. Englisch. …

Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. With contributions by numerous expertsThe renormalization-group approach is largely responsible for the considerable success which has been achieved in the last ten years in developing a complete quantitative theory of phase transitions. Before, there w.…

Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The renormalization-group approach is largely responsible for the considerable success which has been achieved in the last ten years in developing a complete quantitative theory of phase transitions. Before, there was a useful physical picture of phase transitions, but a general method for making accurate quantitative predictions was lacking. Existent theories, such as the mean-field theory of Landau, sometimes reproduce phase diagrams reliably but were known to fail qualitatively near critical points, where the critical behavior is particularly interesting be cause of its universal character. In the mid 1960's Widom found that the singularities in thermodynamic quanti ties were well described by homogeneous functions. Kadanoff extended the homogeneity hypothesis to correlation functions and linked it to the idea of scale invariance. In the early 1970's Wilson showed how Kadanoff's rescaling could be explicitly carried out near the fixed point of a flow in Hamiltonian space. He made the first practical renormalization-group calculation of the flow induced by the elimination of short-wave-length Fourier components of the order-parameter field. The univer sality of the critical behavior emerges in a natural way in this approach, with a different fixed point for each universality class. The discovery by Wilson and Fisher of a systematic expansion procedure in E for a system in d = 4 - E dimen sions was followed by a cascade of calculations of critical quantities as a function of d and of the order-parameter dimensionality n.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 236 pp. Englisch. …