Download or read book Introduction to Conformal Invariance and Its Applications to Critical Phenomena written by Philippe Christe and published by Springer Science & Business Media. This book was released on 2008-09-11 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The history of critical phenomena goes back to the year 1869 when Andrews discovered the critical point of carbon dioxide, located at about 31°C and 73 atmospheres pressure. In the neighborhood ofthis point the carbon dioxide was observed to become opalescent, that is, light is strongly scattered. This is nowadays interpreted as comingfrom the strong fluctuations of the system close to the critical point. Subsequently, a wide varietyofphysicalsystems were realized to display critical points as well. Ofparticular importance was the observation of a critical point in ferromagnetic iron by Curie. Further examples include multicomponent fluids and alloys, superfluids, superconductors, polymers and may even extend to the quark-gluon plasmaand the early universe as a whole. Early theoretical investigationstried to reduce the problem to a very small number of degrees of freedom, such as the van der Waals equation and mean field approximations and culminating in Landau's general theory of critical phenomena. In a dramatic development, Onsager's exact solutionofthe two-dimensional Ising model made clear the important role of the critical fluctuations. Their role was taken into account in the subsequent developments leading to the scaling theories of critical phenomena and the renormalization group. These developements have achieved a precise description of the close neighborhood of the critical point and results are often in good agreement with experiments. In contrast to the general understanding a century ago, the presence of fluctuations on all length scales at a critical point is today emphasized.

Download or read book Conformal Invariance And Applications To Statistical Mechanics written by C Itzykson and published by World Scientific. This book was released on 1998-09-29 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains Introductory Notes and major reprints on conformal field theory and its applications to 2-dimensional statistical mechanics of critical phenomena. The subject relates to many different areas in contemporary physics and mathematics, including string theory, integrable systems, representations of infinite Lie algebras and automorphic functions.

Download or read book Conformal Invariance and String Theory written by Petre Dita and published by Elsevier. This book was released on 2012-12-02 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conformal Invariance and String Theory is an account of the series of lectures held in Summer School regarding Conformal Invariance and String Theory in September 1987. The purpose of the lectures is to present the important problems and results in these two areas of theoretical physics. The text is divided into two major parts. Part I deals with implications of conformal invariance in studying two-dimensional systems. Part II meanwhile presents lectures regarding the advances in string theory and other related topics.Also included in the text is a part dedicated to the topic of determinants. This topic is discussed in two parts; the first focuses on the determinants in the finite dimensional case, while the second talks about Fredholm determinants. The book is a helpful source of reference to students and researchers in the field of physics, specifically quantum and theoretical.

Download or read book Conformal Invariance and Critical Phenomena written by Malte Henkel and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Critical phenomena arise in a wide variety of physical systems. Classi cal examples are the liquid-vapour critical point or the paramagnetic ferromagnetic transition. Further examples include multicomponent fluids and alloys, superfluids, superconductors, polymers and fully developed tur bulence and may even extend to the quark-gluon plasma and the early uni verse as a whole. Early theoretical investigators tried to reduce the problem to a very small number of degrees of freedom, such as the van der Waals equation and mean field approximations, culminating in Landau's general theory of critical phenomena. Nowadays, it is understood that the common ground for all these phenomena lies in the presence of strong fluctuations of infinitely many coupled variables. This was made explicit first through the exact solution of the two-dimensional Ising model by Onsager. Systematic subsequent developments have been leading to the scaling theories of critical phenomena and the renormalization group which allow a precise description of the close neighborhood of the critical point, often in good agreement with experiments. In contrast to the general understanding a century ago, the presence of fluctuations on all length scales at a critical point is emphasized today. This can be briefly summarized by saying that at a critical point a system is scale invariant. In addition, conformal invaTiance permits also a non-uniform, local rescal ing, provided only that angles remain unchanged.

Download or read book Government Reports Annual Index written by and published by . This book was released on 1988 with total page 1076 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sections 1-2. Keyword Index.--Section 3. Personal author index.--Section 4. Corporate author index.-- Section 5. Contract/grant number index, NTIS order/report number index 1-E.--Section 6. NTIS order/report number index F-Z.

Download or read book Finite Size Scaling And Numerical Simulation Of Statistical Systems written by Vladimir Privman and published by World Scientific. This book was released on 1990-01-01 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of Finite Size Scaling describes a build-up of the bulk properties when a small system is increased in size. This description is particularly important in strongly correlated systems where critical fluctuations develop with increasing system size, including phase transition points, polymer conformations. Since numerical computer simulations are always done with finite samples, they rely on the Finite Size Scaling theory for data extrapolation and analysis. With the advent of large scale computing in recent years, the use of the size-scaling methods has become increasingly important.

Download or read book Physics Briefs written by and published by . This book was released on 1990 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Integrable Systems in Quantum Field Theory and Statistical Mechanics written by M. Jimbo and published by Elsevier. This book was released on 2014-05-19 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrable Sys Quantum Field Theory

Download or read book Statistical Mechanics written by Claude Garrod and published by . This book was released on 1988 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book String Theory Quantum Cosmology and Quantum Gravity written by Héctor J. Vega and published by . This book was released on 1987 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Energy Research Abstracts written by and published by . This book was released on 1988 with total page 1684 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Models of Quantum Matter written by Hans-Peter Eckle and published by . This book was released on 2019 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces tools with which models of quantum matter are built. The most important technique, the Bethe ansatz, is developed in detail to perform exact calculations of the physical properties of quantum matter.

Download or read book Government Reports Annual Index Keyword A L written by and published by . This book was released on 1988 with total page 1600 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Referativny zhurnal written by and published by . This book was released on 1988 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book High Energy Physics Index written by and published by . This book was released on 1989 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Government Reports Announcements Index written by and published by . This book was released on 1989 with total page 1334 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book New Theoretical Approaches to Strongly Correlated Systems written by Alexei M. Tsvelik and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many years, the physics of strongly correlated systems was considered a theorists' playground, right at the border with pure mathematics, where physicists from the `real world' did not venture. The time has come, however, when healthy physics cannot exist without these techniques and results. Lectures on selected topics in the theory of strongly correlated systems are here presented by the leading experts in the field. Topics covered include a use of the form factor approach in low-dimensional systems, applications of quantum field theory to disorder, and dynamical mean field theory. The main divisions of the book deal with: I) Quantum Critical Points; (II) Strongly Correlated One-Dimensional Systems; (III) Strong Correlations and Disorder; and (IV) Dynamical Mean Field Theory.