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Critical Phenomena And Collective Observables


Critical Phenomena And Collective Observables
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Critical Phenomena And Collective Observables Cris 96


Critical Phenomena And Collective Observables Cris 96
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Author : Antonio Insolia
language : en
Publisher: World Scientific
Release Date : 1996-11-09

Critical Phenomena And Collective Observables Cris 96 written by Antonio Insolia and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-11-09 with categories.


CRIS (Catania Relativistic Ion Studies) is a new series of Topical Conferences to be held at regular intervals in Catania or in its environs. Aim of the CRIS Conferences is to gather active researchers from several countries to discuss specific hot topics in the field of heavy ion physics.The first CRIS Conference, CRIS '96, has been devoted to “Critical Phenomena and Collective Observables”, a quite hot topic after the recent experimental evidences of a liquid-gas phase transition in finite nuclei found by the EOS and ALADiN Collaborations and the progress made in the understanding of the relevance of collective observables, like flow and balance energy for the study of the Nuclear Equation of State.



Critical Phenomena And Collective Observables


Critical Phenomena And Collective Observables
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Author : Sergio Costa
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1996-01-01

Critical Phenomena And Collective Observables written by Sergio Costa and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-01 with Heavy ion collisions categories.




Quantum Theory Of Collective Phenomena


Quantum Theory Of Collective Phenomena
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Author : G. L. Sewell
language : en
Publisher: Courier Corporation
Release Date : 2014-06-18

Quantum Theory Of Collective Phenomena written by G. L. Sewell and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-18 with Science categories.


This systematic approach to the quantum theory of collective phenomena is based principally on the model of infinite systems. Suitable for advanced undergraduates and graduate students of physics and chemistry, the three-part treatment begins with an exposition of the generalized form of quantum theory of both finite and infinite systems. Part II consists of a general formulation of statistical thermodynamics, and the final part provides a treatment of the phenomena of phase transitions, metastability, and the generation of ordered structures far from equilibrium. "An excellent and competent introduction to the field … [and] … a source of information for the expert."—Physics Today "This a book of major importance…. I trust that this book will be used as a basis for the teaching of a balanced, modern and rigorous course on statistical mechanics in all universities."—Bulletin of the London Mathematical Society "This is one of the best introductions to the subject, and it is strongly recommended to anyone interested in collective phenomena."—Physics Bulletin "The book may be recommended for students as a well-balanced introduction to this rich subject and it can serve as a useful handbook for the expert."—Journal of Statistical Physics



Critical Properties Of Greek Letter Phi 4 Theories


Critical Properties Of Greek Letter Phi 4 Theories
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Author : Hagen Kleinert
language : en
Publisher: World Scientific
Release Date : 2001

Critical Properties Of Greek Letter Phi 4 Theories written by Hagen Kleinert and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.


This book explains in detail how to perform perturbation expansions in quantum field theory to high orders, and how to extract the critical properties of the theory from the resulting divergent power series. These properties are calculated for various second-order phase transitions of three-dimensional systems with high accuracy, in particular the critical exponents observable in experiments close to the phase transition.Beginning with an introduction to critical phenomena, this book develops the functional-integral description of quantum field theories, their perturbation expansions, and a method for finding recursively all Feynman diagrams to any order in the coupling strength. Algebraic computer programs are supplied on accompanying World Wide Web pages. The diagrams correspond to integrals in momentum space. They are evaluated in 4-î dimensions, where they possess pole terms in 1/î. The pole terms are collected into renormalization constants.The theory of the renormalization group is used to find the critical scaling laws. They contain critical exponents which are obtained from the renormalization constants in the form of power series. These are divergent, due to factorially growing expansion coefficients. The evaluation requires resummation procedures, which are performed in two ways: (1) using traditional methods based on Pad‚ and Borel transformations, combined with analytic mappings; (2) using modern variational perturbation theory, where the results follow from a simple strong-coupling formula. As a crucial test of the accuracy of the methods, the critical exponent à governing the divergence of the specific heat of superfluid helium is shown to agree very well with the extremely precise experimental number found in the space shuttle orbiting the earth (whose data are displayed on the cover of the book).The phi4-theories investigated in this book contain any number N of fields in an O(N)-symmetric interaction, or in an interaction in which O(N)-symmetry is broken by a term of a cubic symmetry. The crossover behavior between the different symmetries is investigated. In addition, alternative ways of obtaining critical exponents of phi4-theories are sketched, such as variational perturbation expansions in three rather than 4-î dimensions, and improved ratio tests in high-temperature expansions of lattice models.



Critical Phenomena In Natural Sciences


Critical Phenomena In Natural Sciences
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Author : Didier Sornette
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Critical Phenomena In Natural Sciences written by Didier Sornette 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 2013-04-17 with Science categories.


A modern up-to-date introduction for readers outside statistical physics. It puts emphasis on a clear understanding of concepts and methods and provides the tools that can be of immediate use in applications.



Phase Transitions And Critical Phenomena


Phase Transitions And Critical Phenomena
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Author :
language : en
Publisher: Elsevier
Release Date : 2000-09-15

Phase Transitions And Critical Phenomena written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-15 with Science categories.


The field of phase transitions and critical phenomena continues to be active in research, producing a steady stream of interesting and fruitful results. No longer an area of specialist interest, it has acquired a central focus in condensed matter studies. The major aim of this serial is to provide review articles that can serve as standard references for research workers in the field, and for graduate students and others wishing to obtain reliable information on important recent developments.The two review articles in this volume complement each other in a remarkable way. Both deal with what might be called the modern geometricapproach to the properties of macroscopic systems. The first article by Georgii (et al.) describes how recent advances in the application ofgeometric ideas leads to a better understanding of pure phases and phase transitions in equilibrium systems. The second article by Alava (et al.)deals with geometrical aspects of multi-body systems in a hands-on way, going beyond abstract theory to obtain practical answers. Thecombination of computers and geometrical ideas described in this volume will doubtless play a major role in the development of statisticalmechanics in the twenty-first century.



Current Problems In Elementary Particle And Mathematical Physics


Current Problems In Elementary Particle And Mathematical Physics
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Author : P. Urban
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Current Problems In Elementary Particle And Mathematical Physics written by P. Urban 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 2012-12-06 with Science categories.




Crucial Events Why Are Catastrophes Never Expected


Crucial Events Why Are Catastrophes Never Expected
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Author : Bruce J West
language : en
Publisher: World Scientific
Release Date : 2021-05-12

Crucial Events Why Are Catastrophes Never Expected written by Bruce J West and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-12 with Science categories.


A nonsimple (complex) system indicates a mix of crucial and non-crucial events, with very different statistical properties. It is the crucial events that determine the efficiency of information exchange between complex networks. For a large class of nonsimple systems, crucial events determine catastrophic failures - from heart attacks to stock market crashes.This interesting book outlines a data processing technique that separates the effects of the crucial from those of the non-crucial events in nonsimple time series extracted from physical, social and living systems. Adopting an informal conversational style, without sacrificing the clarity necessary to explain, the contents will lead the reader through concepts such as fractals, complexity and randomness, self-organized criticality, fractional-order differential equations of motion, and crucial events, always with an eye to helping to interpret what mathematics usually does in the development of new scientific knowledge.Both researchers and novitiate will find Crucial Events useful in learning more about the science of nonsimplicity.



Whitaker S Books In Print


Whitaker S Books In Print
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Author :
language : en
Publisher:
Release Date : 1998

Whitaker S Books In Print written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Bibliography, National categories.




Collective Classical And Quantum Fields In Plasmas Superconductors Superfluid 3he And Liquid Crystals


Collective Classical And Quantum Fields In Plasmas Superconductors Superfluid 3he And Liquid Crystals
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Author : Hagen Kleinert
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017-12-22

Collective Classical And Quantum Fields In Plasmas Superconductors Superfluid 3he And Liquid Crystals written by Hagen Kleinert and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-22 with Science categories.


This is an introductory book dealing with collective phenomena in many-body systems. A gas of bosons or fermions can show oscillations of various types of density. These are described by different combinations of field variables. Especially delicate is the competition of these variables. In superfluid 3He, for example, the atoms can be attracted to each other by molecular forces, whereas they are repelled from each other at short distance due to a hardcore repulsion. The attraction gives rise to Cooper pairs, and the repulsion is overcome by paramagnon oscillations. The combination is what finally led to the discovery of superfluidity in 3He. In general, the competition between various channels can most efficiently be studied by means of a classical version of the Hubbard-Stratonovich transformation.A gas of electrons is controlled by the interplay of plasma oscillations and pair formation. In a system of rod- or disc-like molecules, liquid crystals are observed with directional orientations that behave in unusual five-fold or seven-fold symmetry patterns. The existence of such a symmetry was postulated in 1975 by the author and K Maki. An aluminium material of this type was later manufactured by Dan Shechtman which won him the 2014 Nobel prize. The last chapter presents some solvable models, one of which was the first to illustrate the existence of broken supersymmetry in nuclei.