Download or read book Functional Renormalization Group Approach to Dynamic Critical Phenomena written by Jan H. Stockemer and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Functional Renormalization Group Approach to Dynamic Critical Phenomena written by Jan H. Stockemer and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Critical Dynamics written by Uwe C. Täuber and published by Cambridge University Press. This book was released on 2014-03-06 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and unified introduction to describing and understanding complex interacting systems.
Download or read book Introduction to the Renormalization Group and to Critical Phenomena written by Gérard Toulouse and published by John Wiley & Sons. This book was released on 1977 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Real Space Renormalization written by T.W. Burkhardt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Modern Theory Of Critical Phenomena written by Shang-keng Ma and published by Routledge. This book was released on 2018-05-04 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important contributor to our current understanding of critical phenomena, Ma introduces the beginner--especially the graduate student with no previous knowledge of the subject-to fundamental theoretical concepts such as mean field theory, the scaling hypothesis, and the renormalization group. He then goes on to apply the renormalization group to selected problems, with emphasis on the underlying physics and the basic assumptions involved.
Download or read book Dynamic Critical Phenomena and the Renormalization Group Application to a Lattice Dynamic Model written by P. Szépfalusy and published by . This book was released on 1976 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to the Functional Renormalization Group written by Peter Kopietz and published by Springer Science & Business Media. This book was released on 2010-05-03 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Applications of Renormalization Group Recursion Formulas to Problems in Critical Phenomena and Quantum Field Theory written by Geoffrey Robinson Golner and published by . This book was released on 1972 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Critical Dynamics written by Uwe C. Täuber and published by Cambridge University Press. This book was released on 2014-03-06 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing a unified framework for describing and understanding complex interacting systems common in physics, chemistry, biology, ecology, and the social sciences, this comprehensive overview of dynamic critical phenomena covers the description of systems at thermal equilibrium, quantum systems, and non-equilibrium systems. Powerful mathematical techniques for dealing with complex dynamic systems are carefully introduced, including field-theoretic tools and the perturbative dynamical renormalization group approach, rapidly building up a mathematical toolbox of relevant skills. Heuristic and qualitative arguments outlining the essential theory behind each type of system are introduced at the start of each chapter, alongside real-world numerical and experimental data, firmly linking new mathematical techniques to their practical applications. Each chapter is supported by carefully tailored problems for solution, and comprehensive suggestions for further reading, making this an excellent introduction to critical dynamics for graduate students and researchers across many disciplines within physical and life sciences.
Download or read book Renormalization Methods written by W. D. McComb and published by Oxford University Press. This book was released on 2004 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text fills a gap between undergraduate and more advanced texts on quantum field theory. It covers a range of renormalization methods with a clear physical interpretation, proceeds to the epsilon-expansion and ends with the first-order corrections to critical exponents beyond mean-field theory.
Download or read book Dynamical Critical Phenomena and Related Topics written by C. P. Enz and published by Springer. This book was released on 1979-07 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics written by A.N. Vasil'ev and published by CRC Press. This book was released on 2004-04-28 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a general field-theoretical picture of critical phenomena and stochastic dynamics and helps readers develop a practical skill for calculations. This education on the practical skill sets this book apart: it is the first to give a full technical introduction to the field. Both general ideas and ...hard... calculations are presen
Download or read book Differential Renormalization group Generators for Static and Dynamic Critical Phenomena written by Thomas S. Chang and published by . This book was released on 1992 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Differential Renormalization group Generators for Static and Dynamic Critical Phenomena written by Tsung-sui Chang and published by . This book was released on 1992 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Theory of Critical Phenomena written by J. J. Binney and published by Oxford University Press. This book was released on 1992-06-11 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: The successful calculation of critical exponents for continuous phase transitions is one of the main achievements of theoretical physics over the last quarter-century. This was achieved through the use of scaling and field-theoretic techniques which have since become standard equipment in many areas of physics, especially quantum field theory. This book provides a thorough introduction to these techniques. Continuous phase transitions are introduced, then the necessary statistical mechanics is summarized, followed by standard models, some exact solutions and techniques for numerical simulations. The real-space renormalization group and mean-field theory are then explained and illustrated. The final chapters cover the Landau-Ginzburg model, from physical motivation, through diagrammatic perturbation theory and renormalization to the renormalization group and the calculation of critical exponents above and below the critical temperature.
Download or read book Critical Phenomena written by Javier Brey and published by Springer. This book was released on 1976 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:
