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A Modern Approach to Critical Phenomena

A Modern Approach to Critical Phenomena
Author: Igor Herbut
Publisher: Cambridge University Press
Total Pages: 223
Release: 2007-01-04
Genre: Science
ISBN: 1139460129

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Critical phenomena is one of the most exciting areas of modern physics. This 2007 book provides a thorough but economic introduction into the principles and techniques of the theory of critical phenomena and the renormalization group, from the perspective of modern condensed matter physics. Assuming basic knowledge of quantum and statistical mechanics, the book discusses phase transitions in magnets, superfluids, superconductors, and gauge field theories. Particular attention is given to topics such as gauge field fluctuations in superconductors, the Kosterlitz-Thouless transition, duality transformations, and quantum phase transitions - all of which are at the forefront of physics research. This book contains numerous problems of varying degrees of difficulty, with solutions. These problems provide readers with a wealth of material to test their understanding of the subject. It is ideal for graduate students and more experienced researchers in the fields of condensed matter physics, statistical physics, and many-body physics.


Modern Theory of Critical Phenomena

Modern Theory of Critical Phenomena
Author: Shanggeng Ma
Publisher:
Total Pages: 600
Release: 1976
Genre: Critical phenomena (Physics)
ISBN:

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Modern Theory Of Critical Phenomena

Modern Theory Of Critical Phenomena
Author: Shang-keng Ma
Publisher: Routledge
Total Pages: 591
Release: 2018-05-04
Genre: Social Science
ISBN: 0429967438

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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.


Critical Dynamics

Critical Dynamics
Author: Uwe C. Täuber
Publisher: Cambridge University Press
Total Pages: 529
Release: 2014-03-06
Genre: Science
ISBN: 0521842239

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A comprehensive and unified introduction to describing and understanding complex interacting systems.


Elements of Phase Transitions and Critical Phenomena

Elements of Phase Transitions and Critical Phenomena
Author: Hidetoshi Nishimori
Publisher: OUP Oxford
Total Pages: 376
Release: 2010-12-02
Genre: Science
ISBN: 019103553X

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As an introductory account of the theory of phase transitions and critical phenomena, this book reflects lectures given by the authors to graduate students at their departments and is thus classroom-tested to help beginners enter the field. Most parts are written as self-contained units and every new concept or calculation is explained in detail without assuming prior knowledge of the subject. The book significantly enhances and revises a Japanese version which is a bestseller in the Japenese market and is considered a standard textbook in the field. It contains new pedagogical presentations of field theory methods, including a chapter on conformal field theory, and various modern developments hard to find in a single textbook on phase transitions. Exercises are presented as the topics develop, with solutions found at the end of the book, making the usefil for self-teaching, as well as for classroom learning.


Understanding the Fundamental Constituents of Matter

Understanding the Fundamental Constituents of Matter
Author: Antonio Zichichi
Publisher: Springer Science & Business Media
Total Pages: 913
Release: 2012-12-06
Genre: Science
ISBN: 146840931X

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During July and August of 1976 a group of 90 physicists from 56 laboratories in 21 countries met in Erice for the 14th Course of the International School of Subnuclear Physics. The countries represented were Argentina, Australia, Austria, Belgium, Denmark, the Federal Republic of Germany, France, the German Democratic Republic, Greece, Israel, Italy, Japan, Mexico, Nigeria, Norway, Sweden, the United Kingdom, the United States of America, Vietnam, and Yugoslavia. The School was sponsored by the Italian Ministry of Public Education (MPI), the Italian Ministry of Scientific and Technological Research (MRST), the North Atlantic Treaty Organi zation (NATO), the Regional Sicilian Government (ERS), and the Weizmann Institute of Science. The program of the School was mainly devoted to the elucida tion and discussion of the progress achieved in the theoretical and experimental understanding of the fundamental constituents of matter. On the theoretical front we had a series of remarkable lecturers (C. N. Yang, S. Weinberg, G. C. Wick) attempting a description of finite size particles. Another group of lecturers covered such topics as the understanding of the new particles (H. J. Lipkin), whether or not jets really exist (E. Lillethun), and the unexpected A-dependence of massive dileptons produced in high-energy proton- nucleus collisions (J. W. Cronin). Two other outstanding questions were covered by E. Leader and G. Preparata respectively: whether strong interactions are still within the Regge framework, and if it is really possible to master strong interactions. A. J. S.


Lectures On Phase Transitions And The Renormalization Group

Lectures On Phase Transitions And The Renormalization Group
Author: Nigel Goldenfeld
Publisher: CRC Press
Total Pages: 417
Release: 2018-03-08
Genre: Science
ISBN: 0429962045

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Covering the elementary aspects of the physics of phases transitions and the renormalization group, this popular book is widely used both for core graduate statistical mechanics courses as well as for more specialized courses. Emphasizing understanding and clarity rather than technical manipulation, these lectures de-mystify the subject and show precisely "how things work." Goldenfeld keeps in mind a reader who wants to understand why things are done, what the results are, and what in principle can go wrong. The book reaches both experimentalists and theorists, students and even active researchers, and assumes only a prior knowledge of statistical mechanics at the introductory graduate level.Advanced, never-before-printed topics on the applications of renormalization group far from equilibrium and to partial differential equations add to the uniqueness of this book.


Statistical Mechanics of Lattice Systems

Statistical Mechanics of Lattice Systems
Author: Sacha Friedli
Publisher: Cambridge University Press
Total Pages: 643
Release: 2017-11-23
Genre: Mathematics
ISBN: 1107184827

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A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.


Introduction to the Theory of Critical Phenomena

Introduction to the Theory of Critical Phenomena
Author: Dimo I. Uzunov
Publisher: World Scientific
Total Pages: 701
Release: 2010
Genre: Science
ISBN: 9814299499

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This book provides a comprehensive introduction to the theory of phase transitions and critical phenomena. The content covers a period of more than 100 years of theoretical research of condensed matter phases and phase transitions providing a clear interrelationship with experimental problems. It starts from certain basic University knowledge of thermodynamics, statistical physics and quantum mechanics. The text is illustrated with classic examples of phase transitions. Various types of phase transition and (multi)critical points are introduced and explained. The classic aspects of the theory are naturally related with the modern developments. This interrelationship and the field-theoretical renormalization group method are presented in details. The main applications of the renormalization group methods are presented. Special attention is paid to the description of quantum phase transitions. This edition contains a more detailed presentation of the renormalization group method and its applications to particular systems.


Mesoscopic Thermodynamics for Scientists and Engineers

Mesoscopic Thermodynamics for Scientists and Engineers
Author: Mikhail A. Anisimov
Publisher: John Wiley & Sons
Total Pages: 340
Release: 2024-08-27
Genre: Science
ISBN: 139424195X

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Provides comprehensive coverage of the fundamentals of mesoscopic thermodynamics Mesoscopic Thermodynamics for Scientists and Engineers presents a unified conceptual approach to the core principles of equilibrium and nonequilibrium thermodynamics. Emphasizing the concept of universality at the mesoscale, this authoritative textbook provides the knowledge required for understanding and utilizing mesoscopic phenomena in a wide range of new and emerging technologies. Divided into two parts, Mesoscopic Thermodynamics for Scientists and Engineers opens with a concise summary of classical thermodynamics and nonequilibrium thermodynamics, followed by a detailed description of fluctuations and local (spatially-dependent) properties. Part II presents a universal approach to specific meso-heterogeneous systems, illustrated by numerous examples from experimental and computational studies that align with contemporary research and engineering practice. Bridges the gap between conventional courses in thermodynamics and real-world practice Provides in-depth instruction on applying thermodynamics to current problems involving meso- and nano-heterogeneous systems Contains a wealth of examples of simple and complex fluids, polymers, liquid crystals, and supramolecular equilibrium and dissipative structures Includes practical exercises and references to textbooks, monographs, and journal articles in each chapter Mesoscopic Thermodynamics for Scientists and Engineers is an excellent textbook for advanced undergraduate and graduate students in physics, chemistry, and chemical, mechanical, and materials science engineering, as well as an invaluable reference for engineers and researchers engaged in soft-condensed matter physics and chemistry, nanoscience and nanotechnology, and mechanical, chemical, and biomolecular engineering.