Quantitative Theory Of Critical Phenomena

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Quantitative Theory Of Critical Phenomena

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Author : George A. Jr. Baker
language : en
Publisher: Academic Press
Release Date : 2012-12-02

Quantitative Theory Of Critical Phenomena written by George A. Jr. Baker and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.

Quantitative Theory of Critical Phenomena details in a self-contained manner the most popular and extensively practiced methods for the quantitative study of critical phenomena. The text is divided into three parts. Part I deals with the general theory of critical phenomena — its thermodynamic aspects, statistical mechanical framework, classical model, and inequalities. Part II tackles the combinatorial theory of series generation. Part III covers the quantitative analysis of series expansions, which includes topics such as the complex variable theory, the algebraic aspects and numerical evaluation of Padé approximants, and special continuation methods. The book is recommended for mathematicians and physicists who would like to know more about critical phenomena, its theories, and the methods for its quantitative study.

The Theory Of Critical Phenomena

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Author :
language : en
Publisher: Oxford University Press
Release Date : 1992-06-11

The Theory Of Critical Phenomena written by and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-06-11 with Science categories.

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.

Conceptual Foundations Of Quantum Field Theory

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Author : Tian Yu Cao
language : en
Publisher: Cambridge University Press
Release Date : 2004-03-25

Conceptual Foundations Of Quantum Field Theory written by Tian Yu Cao 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 2004-03-25 with Science categories.

Multi-author volume on the history and philosophy of physics.

Coherent Anomaly Method

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Author : Masuo Suzuki
language : en
Publisher: World Scientific
Release Date : 1995

Coherent Anomaly Method written by Masuo Suzuki and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Science categories.

This book presents a systematic and coherent approach to phase transitions and critical phenomena, namely the coherent-anomaly method (CAM theory) based on cluster mean-field approximations. The first part gives a brief review of the CAM theory and the second part a collection of reprints covering the CAM basic calculations, the Blume-Emery-Griffiths model, the extended Baxter model, the quantum Heisenberg model, zero-temperature phase transitions, the KT-transition, spin glasses, the self-avoiding walk, contact processes, branching processes, the gas-liquid transition and even non-equilibrium phase transitions.

Development Of Physics Volume I

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Author : Gyo Takeda
language : en
Publisher: EOLSS Publications
Release Date : 2009-10-17

Development Of Physics Volume I written by Gyo Takeda and has been published by EOLSS Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-17 with Reference categories.

Development of Physics is a component of Encyclopedia of Physical Sciences, Engineering and Technology Resources in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Development of Physics provides an overview of the modern areas in physics, most of which had been crystallized in the 20th century, is given. The Theme on Development of Physics deals, in one volume and cover several topics, with a myriad of issues of great relevance to our world such as: an Overview of the Development of Physics; Development of Fundamentals in Physics; Physical Systems and Laws; Particles and Fields; Quantum Systems; Order and Disorder in Nature; Physics and Development, which are then expanded into multiple subtopics, each as a chapter. This volume is aimed at the following five major target audiences: University and College Students, Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers, NGOs and GOs.

Mathematical Constants

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Author : Steven R. Finch
language : en
Publisher: Cambridge University Press
Release Date : 2003-08-18

Mathematical Constants written by Steven R. Finch 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 2003-08-18 with Mathematics categories.

Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

Pade Approximants

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Author : George Allen Baker
language : en
Publisher: Cambridge University Press
Release Date : 1996-01-26

Pade Approximants written by George Allen Baker 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 1996-01-26 with Mathematics categories.

The first edition of this book was reviewed in 1982 as "the most extensive treatment of Pade approximants actually available." This second edition has been thoroughly updated, with a substantial new chapter on multiseries approximants. Applications to statistical mechanics and critical phenomena are extensively covered, and there are newly extended sections devoted to circuit design, matrix Pade approximation, and computational methods. This succinct and straightforward treatment will appeal to scientists, engineers, and mathematicians alike.

Stochastic Dynamics And Irreversibility

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Author : Tânia Tomé
language : en
Publisher: Springer
Release Date : 2014-11-26

Stochastic Dynamics And Irreversibility written by Tânia Tomé and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-26 with Science categories.

This textbook presents an exposition of stochastic dynamics and irreversibility. It comprises the principles of probability theory and the stochastic dynamics in continuous spaces, described by Langevin and Fokker-Planck equations, and in discrete spaces, described by Markov chains and master equations. Special concern is given to the study of irreversibility, both in systems that evolve to equilibrium and in nonequilibrium stationary states. Attention is also given to the study of models displaying phase transitions and critical phenomena both in thermodynamic equilibrium and out of equilibrium. These models include the linear Glauber model, the Glauber-Ising model, lattice models with absorbing states such as the contact process and those used in population dynamic and spreading of epidemic, probabilistic cellular automata, reaction-diffusion processes, random sequential adsorption and dynamic percolation. A stochastic approach to chemical reaction is also presented.The textbook is intended for students of physics and chemistry and for those interested in stochastic dynamics. It provides, by means of examples and problems, a comprehensive and detailed explanation of the theory and its applications.

Statistical Mechanics

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Author : R.K. Pathria
language : en
Publisher: Academic Press
Release Date : 2021-03-15

Statistical Mechanics written by R.K. Pathria and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-15 with Science categories.

Statistical Mechanics, Fourth Edition, explores the physical properties of matter based on the dynamic behavior of its microscopic constituents. This valuable textbook introduces the reader to the historical context of the subject before delving deeper into chapters about thermodynamics, ensemble theory, simple gases theory, Ideal Bose and Fermi systems, statistical mechanics of interacting systems, phase transitions, and computer simulations. In the latest revision, the book's authors have updated the content throughout, including new coverage on biophysical applications, updated exercises, and computer simulations. This updated edition will be an indispensable to students and researchers of statistical mechanics, thermodynamics, and physics. - Retains the valuable organization and trusted coverage of previous market-leading editions - Includes new coverage on biophysical applications and computer simulations - Offers Mathematica files for student use and a secure solutions manual for qualified instructors - Covers Bose-Einstein condensation in atomic gases, Thermodynamics of the early universe, Computer simulations: Monte Carlo and molecular dynamics, Correlation functions and scattering, Fluctuation-dissipation theorem and the dynamical structure factor, and much more

The Mathematica Guidebook For Symbolics

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Author : Michael Trott
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-03

The Mathematica Guidebook For Symbolics written by Michael Trott 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 2007-04-03 with Computers categories.

Provides reader with working knowledge of Mathematica and key aspects of Mathematica symbolic capabilities, the real heart of Mathematica and the ingredient of the Mathematica software system that makes it so unique and powerful Clear organization, complete topic coverage, and an accessible writing style for both novices and experts Website for book with additional materials: http://www/MathematicaGuideBooks.org Accompanying DVD containing all materials as an electronic book with complete, executable Mathematica 5.1 compatible code and programs, rendered color graphics, and animations