Scaling and Renormalization in Statistical Physics


Author: John Cardy
Publisher: Cambridge University Press
ISBN: 9780521499590
Category: Science
Page: 238
View: 3505
DOWNLOAD NOW »
A thoroughly modern graduate-level introduction to the theory of critical behaviour. Covers phase transitions, mean field theory, phase diagrams, fixed points, cross-over behaviour, finite-size scaling, a simple approach to the epsilon expansion, low-dimensional systems, surface critical behaviour, random systems, percolation, polymer statistics, critical dynamics and conformal symmetry. Includes many problems.

Statistical Physics

Fundamentals and Application to Condensed Matter
Author: Hung T Diep
Publisher: World Scientific Publishing Company
ISBN: 9814696277
Category: Science
Page: 648
View: 1026
DOWNLOAD NOW »
The aim of this book is to provide the fundamentals of statistical physics and its application to condensed matter. The combination of statistical mechanics and quantum mechanics has provided an understanding of properties of matter leading to spectacular technological innovations and discoveries in condensed matter which have radically changed our daily life. The book gives the steps to follow to understand fundamental theories and to apply these to real materials.

Introduction to the Functional Renormalization Group


Author: Peter Kopietz,Lorenz Bartosch,Florian Schütz
Publisher: Springer Science & Business Media
ISBN: 364205093X
Category: Science
Page: 380
View: 975
DOWNLOAD NOW »
This book, based on a graduate course given by the authors, is a pedagogic and self-contained introduction to the renormalization group with special emphasis on the functional renormalization group. The functional renormalization group is a modern formulation of the Wilsonian renormalization group in terms of formally exact functional differential equations for generating functionals. In Part I the reader is introduced to the basic concepts of the renormalization group idea, requiring only basic knowledge of equilibrium statistical mechanics. More advanced methods, such as diagrammatic perturbation theory, are introduced step by step. Part II then gives a self-contained introduction to the functional renormalization group. After a careful definition of various types of generating functionals, the renormalization group flow equations for these functionals are derived. This procedure is shown to encompass the traditional method of the mode elimination steps of the Wilsonian renormalization group procedure. Then, approximate solutions of these flow equations using expansions in powers of irreducible vertices or in powers of derivatives are given. Finally, in Part III the exact hierarchy of functional renormalization group flow equations for the irreducible vertices is used to study various aspects of non-relativistic fermions, including the so-called BCS-BEC crossover, thereby making the link to contemporary research topics.

Advances in Condensed Matter and Statistical Physics


Author: Elka Korutcheva
Publisher: Nova Publishers
ISBN: 9781590338995
Category: Science
Page: 382
View: 5027
DOWNLOAD NOW »
In this book, the authors present a number of review articles on topics from various subfields of condensed matter and statistical mechanics which have been recently, or currently are, the focus of intense activity, most of which have cross-disciplinary implications to other domains of science. The chapters are divided into three large classes of studies, namely: (i) systems whose evolutions are dominated by, or are essentially the effect of, fluctuations; (ii) driven systems in which the way to dissipate driving forces is relevant; (iii) systems in which disorder in the interactions induce highly non-trivial dynamics leading naturally to questions of (computational) complexity.

Equilibrium Statistical Mechanics of Lattice Models


Author: David A. Lavis
Publisher: Springer
ISBN: 9401794308
Category: Science
Page: 793
View: 9026
DOWNLOAD NOW »
Most interesting and difficult problems in equilibrium statistical mechanics concern models which exhibit phase transitions. For graduate students and more experienced researchers this book provides an invaluable reference source of approximate and exact solutions for a comprehensive range of such models. Part I contains background material on classical thermodynamics and statistical mechanics, together with a classification and survey of lattice models. The geometry of phase transitions is described and scaling theory is used to introduce critical exponents and scaling laws. An introduction is given to finite-size scaling, conformal invariance and Schramm—Loewner evolution. Part II contains accounts of classical mean-field methods. The parallels between Landau expansions and catastrophe theory are discussed and Ginzburg--Landau theory is introduced. The extension of mean-field theory to higher-orders is explored using the Kikuchi--Hijmans--De Boer hierarchy of approximations. In Part III the use of algebraic, transformation and decoration methods to obtain exact system information is considered. This is followed by an account of the use of transfer matrices for the location of incipient phase transitions in one-dimensionally infinite models and for exact solutions for two-dimensionally infinite systems. The latter is applied to a general analysis of eight-vertex models yielding as special cases the two-dimensional Ising model and the six-vertex model. The treatment of exact results ends with a discussion of dimer models. In Part IV series methods and real-space renormalization group transformations are discussed. The use of the De Neef—Enting finite-lattice method is described in detail and applied to the derivation of series for a number of model systems, in particular for the Potts model. The use of Pad\'e, differential and algebraic approximants to locate and analyze second- and first-order transitions is described. The realization of the ideas of scaling theory by the renormalization group is presented together with treatments of various approximation schemes including phenomenological renormalization. Part V of the book contains a collection of mathematical appendices intended to minimise the need to refer to other mathematical sources.

Journal of physics : A, Mathematical and general


Author: Institute of Physics and the Physical Society,American Institute of Physics
Publisher: N.A
ISBN: N.A
Category: Physics
Page: N.A
View: 9768
DOWNLOAD NOW »


Physics letters


Author: N.A
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 4783
DOWNLOAD NOW »


Principles of Phase Structures in Particle Physics


Author: Hildegard Meyer-Ortmanns,Thomas Reisz
Publisher: World Scientific Publishing Company Incorporated
ISBN: N.A
Category: Science
Page: 682
View: 6767
DOWNLOAD NOW »
10(-10) sec after the big bang, when the universe cooled down to the order of 1015 Kelvin, the electroweak phase transition led to a spontaneous breaking of the symmetry between electromagnetic and weak interactions. 10(-6) sec later, at a temperature of the order of tera degrees, the QCD transition confined the free quarks and gluons to mesons and baryons in the hadronic phase of the present world. This book is about the analytical and numerical methods used to investigate these transitions within the framework of quantum field theory at finite temperature in a continuum formulation and on the lattice. The topics covered include the renormalization group approach in a perturbative and non-perturbative realization, dimensional reduction, asymptotic and convergent expansions in quantities such as strong and weak couplings, high temperatures, and small momenta. One particular case revolves around computer-aided generations of high-order hopping parameter series.

Journal of Physics

Mathematical and general. A
Author: N.A
Publisher: N.A
ISBN: N.A
Category: Mathematical physics
Page: N.A
View: 5465
DOWNLOAD NOW »


Journal of physics : A, Mathematical and general


Author: Institute of Physics (Great Britain)
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 3544
DOWNLOAD NOW »


Statistical Physics of Particles


Author: Mehran Kardar
Publisher: Cambridge University Press
ISBN: 1139464876
Category: Science
Page: N.A
View: 1888
DOWNLOAD NOW »
Statistical physics has its origins in attempts to describe the thermal properties of matter in terms of its constituent particles, and has played a fundamental role in the development of quantum mechanics. Based on lectures taught by Professor Kardar at MIT, this textbook introduces the central concepts and tools of statistical physics. It contains a chapter on probability and related issues such as the central limit theorem and information theory, and covers interacting particles, with an extensive description of the van der Waals equation and its derivation by mean field approximation. It also contains an integrated set of problems, with solutions to selected problems at the end of the book and a complete set of solutions is available to lecturers on a password protected website at www.cambridge.org/9780521873420. A companion volume, Statistical Physics of Fields, discusses non-mean field aspects of scaling and critical phenomena, through the perspective of renormalization group.

Physical Review

Statistical physics, plasmas, fluids, and related interdisciplinary topics. E
Author: N.A
Publisher: N.A
ISBN: N.A
Category: Fluids
Page: N.A
View: 3210
DOWNLOAD NOW »


Statistische Physik und Theorie der Wärme


Author: Frederick Reif
Publisher: Walter de Gruyter
ISBN: 3110860937
Category: Science
Page: 836
View: 4540
DOWNLOAD NOW »


Statistische Thermodynamik


Author: Erwin Schrödinger
Publisher: Springer-Verlag
ISBN: 332289410X
Category: Science
Page: 106
View: 6363
DOWNLOAD NOW »


Differentialgeometrie, Topologie und Physik


Author: Mikio Nakahara
Publisher: Springer-Verlag
ISBN: 3662453002
Category: Science
Page: 597
View: 7063
DOWNLOAD NOW »
Differentialgeometrie und Topologie sind wichtige Werkzeuge für die Theoretische Physik. Insbesondere finden sie Anwendung in den Gebieten der Astrophysik, der Teilchen- und Festkörperphysik. Das vorliegende beliebte Buch, das nun erstmals ins Deutsche übersetzt wurde, ist eine ideale Einführung für Masterstudenten und Forscher im Bereich der theoretischen und mathematischen Physik. - Im ersten Kapitel bietet das Buch einen Überblick über die Pfadintegralmethode und Eichtheorien. - Kapitel 2 beschäftigt sich mit den mathematischen Grundlagen von Abbildungen, Vektorräumen und der Topologie. - Die folgenden Kapitel beschäftigen sich mit fortgeschritteneren Konzepten der Geometrie und Topologie und diskutieren auch deren Anwendungen im Bereich der Flüssigkristalle, bei suprafluidem Helium, in der ART und der bosonischen Stringtheorie. - Daran anschließend findet eine Zusammenführung von Geometrie und Topologie statt: es geht um Faserbündel, characteristische Klassen und Indextheoreme (u.a. in Anwendung auf die supersymmetrische Quantenmechanik). - Die letzten beiden Kapitel widmen sich der spannendsten Anwendung von Geometrie und Topologie in der modernen Physik, nämlich den Eichfeldtheorien und der Analyse der Polakov'schen bosonischen Stringtheorie aus einer gemetrischen Perspektive. Mikio Nakahara studierte an der Universität Kyoto und am King’s in London Physik sowie klassische und Quantengravitationstheorie. Heute ist er Physikprofessor an der Kinki-Universität in Osaka (Japan), wo er u. a. über topologische Quantencomputer forscht. Diese Buch entstand aus einer Vorlesung, die er während Forschungsaufenthalten an der University of Sussex und an der Helsinki University of Sussex gehalten hat.

A Guide to Monte Carlo Simulations in Statistical Physics


Author: David P. Landau,Kurt Binder
Publisher: Cambridge University Press
ISBN: 9780521653664
Category: Mathematics
Page: 384
View: 4549
DOWNLOAD NOW »
This book describes all aspects of Monte Carlo simulation of complex physical systems encountered in condensed-matter physics and statistical mechanics, as well as in related fields, such as polymer science and lattice gauge theory. The authors give a succinct overview of simple sampling methods and develop the importance sampling method. In addition they introduce quantum Monte Carlo methods, aspects of simulations of growth phenomena and other systems far from equilibrium, and the Monte Carlo Renormalization Group approach to critical phenomena. The book includes many applications, examples, and current references, and exercises to help the reader.

American Book Publishing Record


Author: N.A
Publisher: N.A
ISBN: N.A
Category: American literature
Page: N.A
View: 8064
DOWNLOAD NOW »


American Journal of Physics


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Physics
Page: N.A
View: 9542
DOWNLOAD NOW »


Non-equilibrium Statistical Mechanics and Turbulence


Author: John Cardy,Gregory Falkovich,Krzysztof Gawedzki
Publisher: Cambridge University Press
ISBN: 9780521715140
Category: Mathematics
Page: 161
View: 483
DOWNLOAD NOW »
This self-contained volume introduces modern methods of statistical mechanics in turbulence, with three harmonised lecture courses by world class experts.

Hydrodynamik


Author: Etienne Guyon,Jean-Pierre Hulin,Luc Petit
Publisher: Springer-Verlag
ISBN: 3322898318
Category: Technology & Engineering
Page: 466
View: 5899
DOWNLOAD NOW »
Neben der Herleitung und Darstellung der fundamentalen Gleichungen enthält dieses Lehrbuch sehr viele Beispiele und Anwendungen, so z.B. eine genaue Diskussion des Flugmechanismus sowie der Wirkung der verschiedenen Klappen an Flügeln, und ist daher auch für Dozenten eine Fundgrube zur anschaulichen Auflockerung der Vorlesung. Neben den beiden üblichen Schwerpunktthemen "Dynamik idealer Fluide" und "Verhalten sehr viskoser Fluide" wird das wichtige Thema "Grenzschichten" besonders behandelt. Ein Anhang über suprafluides Helium - ein Beispiel für ein ideales Fluid - rundet das Stoffgebiet ab.