Scaling and Renormalization in Statistical Physics

Author: John Cardy

Publisher: Cambridge University Press

ISBN: 9780521499590

Category: Science

Page: 238

View: 2284

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: 5826

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: 5141

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: 2015

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.

Statistical Physics of Non-Thermal Phase Transitions

From Foundations to Applications

Author: Sergey G. Abaimov

Publisher: Springer

ISBN: 3319124692

Category: Science

Page: 497

View: 9492

This book addresses the application of methods used in statistical physics to complex systems—from simple phenomenological analogies to more complex aspects, such as correlations, fluctuation-dissipation theorem, the concept of free energy, renormalization group approach and scaling. Statistical physics contains a well-developed formalism that describes phase transitions. It is useful to apply this formalism for damage phenomena as well. Fractals, the Ising model, percolation, damage mechanics, fluctuations, free energy formalism, renormalization group, and scaling, are some of the topics covered in Statistical Physics of Phase Transitions.

Principles of Phase Structures in Particle Physics

Author: Hildegard Meyer-Ortmanns,Thomas Reisz

Publisher: World Scientific Publishing Company Incorporated


Category: Science

Page: 682

View: 4200

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.

Physics letters

Author: N.A

Publisher: N.A



Page: N.A

View: 5069

Physical Review

Statistical physics, plasmas, fluids, and related interdisciplinary topics. E

Author: N.A

Publisher: N.A


Category: Fluids

Page: N.A

View: 6278

Journal of Physics

Mathematical and general. A

Author: N.A

Publisher: N.A


Category: Mathematical physics

Page: N.A

View: 2972

Differentialgeometrie, Topologie und Physik

Author: Mikio Nakahara

Publisher: Springer-Verlag

ISBN: 3662453002

Category: Science

Page: 597

View: 1578

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.

Statistische Thermodynamik

Author: Erwin Schrödinger

Publisher: Springer-Verlag

ISBN: 332289410X

Category: Science

Page: 106

View: 6969

Statistical Physics of Particles

Author: Mehran Kardar

Publisher: Cambridge University Press

ISBN: 1139464876

Category: Science

Page: N.A

View: 1154

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 A companion volume, Statistical Physics of Fields, discusses non-mean field aspects of scaling and critical phenomena, through the perspective of renormalization group.

Non-equilibrium Statistical Mechanics and Turbulence

Author: John Cardy,Gregory Falkovich,Krzysztof Gawedzki

Publisher: Cambridge University Press

ISBN: 9780521715140

Category: Mathematics

Page: 161

View: 4304

This self-contained volume introduces modern methods of statistical mechanics in turbulence, with three harmonised lecture courses by world class experts.


Author: Etienne Guyon,Jean-Pierre Hulin,Luc Petit

Publisher: Springer-Verlag

ISBN: 3322898318

Category: Technology & Engineering

Page: 466

View: 5041

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.