Scaling and Renormalization in Statistical Physics

Author: John Cardy

Publisher: Cambridge University Press

ISBN: 9780521499590

Category: Science

Page: 238

View: 7821

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: 4017

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: 6554

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.

Computational statistical physics

Lecture Notes, Guwahati SERC School

Author: Sitangshu Bikas Santra,Purusattam Ray

Publisher: Springer

ISBN: 9386279509

Category: Science

Page: 298

View: 1280

The present book is an outcome of the SERC school on Computational Statistical Physics held at the Indian Institute of Technology, Guwahati, in December 2008. Numerical experimentation has played an extremely important role in statistical physics in recent years. Lectures given at the School covered a large number of topics of current and continuing interest. Based on lectures by active researchers in the field- Bikas Chakrabarti, S Chaplot, Deepak Dhar, Sanjay Kumar, Prabal Maiti, Sanjay Puri, Purusattam Ray, Sitangshu Santra and Subir Sarkar- the nine chapters comprising the book deal with topics that range from the fundamentals of the field, to problems and questions that are at the very forefront of current research. This book aims to expose the graduate student to the basic as well as advanced techniques in computational statistical physics. Following a general introduction to statistical mechanics and critical phenomena, the various chapters cover Monte Carlo and molecular dynamics simulation methodology, along with a variety of applications. These include the study of coarsening phenomena and diffusion in zeolites. /p In addition, graphical enumeration techniques are covered in detail with applications to percolation and polymer physics, and methods for optimisation are also discussed. Beginning graduate students and young researchers in the area of statistical physics will find the book useful. In addition, this will also be a valuable general reference for students and researchers in other areas of science and engineering.

Statistical Physics of Non-Thermal Phase Transitions

From Foundations to Applications

Author: Sergey G. Abaimov

Publisher: Springer

ISBN: 3319124692

Category: Science

Page: 497

View: 8344

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

ISBN: N.A

Category: Science

Page: 682

View: 1660

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.

Statistical Physics of Particles

Author: Mehran Kardar

Publisher: Cambridge University Press

ISBN: 1139464876

Category: Science

Page: N.A

View: 905

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.

Physics letters

Author: N.A

Publisher: N.A

ISBN: N.A

Category:

Page: N.A

View: 2955

Statistische Thermodynamik

Author: Erwin Schrödinger

Publisher: Springer-Verlag

ISBN: 332289410X

Category: Science

Page: 106

View: 3865

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: 5143

Journal of Physics

Mathematical and general. A

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematical physics

Page: N.A

View: 2751

Differentialgeometrie, Topologie und Physik

Author: Mikio Nakahara

Publisher: Springer-Verlag

ISBN: 3662453002

Category: Science

Page: 597

View: 6331

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.

Non-equilibrium Statistical Mechanics and Turbulence

Author: John Cardy,Gregory Falkovich,Krzysztof Gawedzki

Publisher: Cambridge University Press

ISBN: 9780521715140

Category: Mathematics

Page: 161

View: 3959

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

Grundbegriffe der Wahrscheinlichkeitsrechnung

Author: A. Kolomogoroff

Publisher: Springer-Verlag

ISBN: 3642498884

Category: Mathematics

Page: 62

View: 3298

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Elektronentheorie der Metalle

Author: A. Sommerfeld,H. Bethe

Publisher: Springer-Verlag

ISBN: 3642950027

Category: Science

Page: 290

View: 3808