Application Of Integrable Systems To Phase Transitions
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Application Of Integrable Systems To Phase Transitions
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Author : C.B. Wang
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-20
Application Of Integrable Systems To Phase Transitions written by C.B. Wang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-20 with Mathematics categories.
The eigenvalue densities in various matrix models in quantum chromodynamics (QCD) are ultimately unified in this book by a unified model derived from the integrable systems. Many new density models and free energy functions are consequently solved and presented. The phase transition models including critical phenomena with fractional power-law for the discontinuities of the free energies in the matrix models are systematically classified by means of a clear and rigorous mathematical demonstration. The methods here will stimulate new research directions such as the important Seiberg-Witten differential in Seiberg-Witten theory for solving the mass gap problem in quantum Yang-Mills theory. The formulations and results will benefit researchers and students in the fields of phase transitions, integrable systems, matrix models and Seiberg-Witten theory.
Integral Systems Solid State Physics And Theory Of Phase Transitions
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Author : V. V. Dodonov
language : en
Publisher: Nova Publishers
Release Date : 1991
Integral Systems Solid State Physics And Theory Of Phase Transitions written by V. V. Dodonov and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Group theory categories.
Phase Transition Dynamics
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Author : Tian Ma
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-09
Phase Transition Dynamics written by Tian Ma and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-09 with Mathematics categories.
This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences. The main objectives of this book are to introduce a general principle of dynamic transitions for dissipative systems, to establish a systematic dynamic transition theory, and to explore the physical implications of applications of the theory to a range of problems in the nonlinear sciences. The basic philosophy of the theory is to search for a complete set of transition states, and the general principle states that dynamic transitions of all dissipative systems can be classified into three categories: continuous, catastrophic and random. The audience for this book includes advanced graduate students and researchers in mathematics and physics as well as in other related fields.
Classical And Quantum Nonlinear Integrable Systems
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Author : A Kundu
language : en
Publisher: CRC Press
Release Date : 2019-04-23
Classical And Quantum Nonlinear Integrable Systems written by A Kundu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-23 with Science categories.
Covering both classical and quantum models, nonlinear integrable systems are of considerable theoretical and practical interest, with applications over a wide range of topics, including water waves, pin models, nonlinear optics, correlated electron systems, plasma physics, and reaction-diffusion processes. Comprising one part on classical theories
Random Matrix Models And Their Applications
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Author : Pavel Bleher
language : en
Publisher: Cambridge University Press
Release Date : 2001-06-04
Random Matrix Models And Their Applications written by Pavel Bleher and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-04 with Mathematics categories.
Expository articles on random matrix theory emphasizing the exchange of ideas between the physical and mathematical communities.
Integrable Systems And Random Matrices
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Author : Jinho Baik
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Integrable Systems And Random Matrices written by Jinho Baik and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This volume contains the proceedings of a conference held at the Courant Institute in 2006 to celebrate the 60th birthday of Percy A. Deift. The program reflected the wide-ranging contributions of Professor Deift to analysis with emphasis on recent developments in Random Matrix Theory and integrable systems. The articles in this volume present a broad view on the state of the art in these fields. Topics on random matrices include the distributions and stochastic processes associated with local eigenvalue statistics, as well as their appearance in combinatorial models such as TASEP, last passage percolation and tilings. The contributions in integrable systems mostly deal with focusing NLS, the Camassa-Holm equation and the Toda lattice. A number of papers are devoted to techniques that are used in both fields. These techniques are related to orthogonal polynomials, operator determinants, special functions, Riemann-Hilbert problems, direct and inverse spectral theory. Of special interest is the article of Percy Deift in which he discusses some open problems of Random Matrix Theory and the theory of integrable systems.
New Trends In Analysis And Interdisciplinary Applications
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Author : Pei Dang
language : en
Publisher: Birkhäuser
Release Date : 2017-04-18
New Trends In Analysis And Interdisciplinary Applications written by Pei Dang and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-18 with Mathematics categories.
This book presents a collection of papers from the 10th ISAAC Congress 2015, held in Macau, China. The papers, prepared by respected international experts, address recent results in Mathematics, with a special focus on Analysis. By structuring the content according to the various mathematical topics, the volume offers specialists and non-specialists alike an excellent source of information on the state-of-the-art in Mathematical Analysis and its interdisciplinary applications.
Quantum Phase Transitions In Transverse Field Models
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Author : Amit Dutta
language : en
Publisher: Cambridge University Press
Release Date : 2015-01-28
Quantum Phase Transitions In Transverse Field Models written by Amit Dutta and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-28 with Science categories.
This book establishes the fundamental connections between the physics of quantum phase transitions and the technological promise of quantum information.
Filtration In Porous Media And Industrial Application
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Author : M.S. Espedal
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-12-12
Filtration In Porous Media And Industrial Application written by M.S. Espedal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-12-12 with Science categories.
This book is devoted to the presentation of some flow problems in porous media having relevant industrial applications. The main topics covered are: the manufacturing of composite materials, the espresso coffee brewing process, the filtration of liquids through diapers, various questions about flow problems in oil reservoirs and the theory of homogenization. The aim is to show that filtration problems arising in very practical industrial context exhibit interesting and highly nontrivial mathematical aspects. Thus the style of the book is mathematically rigorous, but specifically oriented towards applications, so that it is intended for both applied mathematicians and researchers in various areas of technological interest. The reader is required to have a good knowledge of the classical theory of PDE and basic functional analysis.
Lie Theory And Its Applications In Physics V
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Author : H. D. Doebner
language : en
Publisher: World Scientific
Release Date : 2004
Lie Theory And Its Applications In Physics V written by H. D. Doebner and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This volume is targeted at theoretical physicists, mathematical physicists and mathematicians working on mathematical models for physical systems based on symmetry methods and in the field of Lie theory understood in the widest sense. It includes contributions on Lie theory, with two papers by the famous mathematician Kac (one paper with Bakalov), further papers by Aoki, Moens. Some other important contributions are in: field theory OCo Todorov, Grosse, Kreimer, Sokatchev, Gomez; string theory OCo Minwalla, Staudacher, Kostov; integrable systems OCo Belavin, Helminck, Ragoucy; quantum-mechanical and probabilistic systems OCo Goldin, Van der Jeugt, Leandre; quantum groups and related objects OCo Jakobsen, Arnaudon, Andruskiewitsch; and others. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings). OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences."