Phase Transitions And Renormalization Group

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Lectures On Phase Transitions And The Renormalization Group

Nigel Goldenfeld
Lectures On Phase Transitions And The Renormalization Group Book PDF

Author : Nigel Goldenfeld
Publisher : CRC Press
Page : 417 pages
File Size : 49,9 Mb
Release : 2018-03-08
Category : Science
ISBN : 9780429962042

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Lectures On Phase Transitions And The Renormalization Group by Nigel Goldenfeld Pdf

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.

Lectures On Phase Transitions And The Renormalization Group

Nigel Goldenfeld
Lectures On Phase Transitions And The Renormalization Group Book PDF

Author : Nigel Goldenfeld
Publisher : CRC Press
Page : 250 pages
File Size : 51,8 Mb
Release : 2018-03-08
Category : Science
ISBN : 9780429973123

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Lectures On Phase Transitions And The Renormalization Group by Nigel Goldenfeld Pdf

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.

Phase Transitions and Renormalization Group

Jean Zinn-Justin
Phase Transitions and Renormalization Group Book PDF

Author : Jean Zinn-Justin
Publisher : Oxford University Press on Demand
Page : 465 pages
File Size : 48,5 Mb
Release : 2007-07-05
Category : Mathematics
ISBN : 9780199227198

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Phase Transitions and Renormalization Group by Jean Zinn-Justin Pdf

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Scaling and Renormalization in Statistical Physics

John Cardy
Scaling and Renormalization in Statistical Physics Book PDF

Author : John Cardy
Publisher : Cambridge University Press
Page : 264 pages
File Size : 43,8 Mb
Release : 1996-04-26
Category : Science
ISBN : 0521499593

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Scaling and Renormalization in Statistical Physics by John Cardy Pdf

This text provides a thoroughly modern graduate-level introduction to the theory of critical behaviour. It begins with a brief review of phase transitions in simple systems, then goes on to introduce the core ideas of the renormalisation group.

Statistical Mechanics of Phase Transitions

J. M. Yeomans
Statistical Mechanics of Phase Transitions Book PDF

Author : J. M. Yeomans
Publisher : Clarendon Press
Page : 165 pages
File Size : 43,8 Mb
Release : 1992-05-07
Category : Electronic
ISBN : 9780191589706

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Statistical Mechanics of Phase Transitions by J. M. Yeomans Pdf

The book provides an introduction to the physics which underlies phase transitions and to the theoretical techniques currently at our disposal for understanding them. It will be useful for advanced undergraduates, for post-graduate students undertaking research in related fields, and for established researchers in experimental physics, chemistry, and metallurgy as an exposition of current theoretical understanding. - ;Recent developments have led to a good understanding of universality; why phase transitions in systems as diverse as magnets, fluids, liquid crystals, and superconductors can be brought under the same theoretical umbrella and well described by simple models. This book describes the physics underlying universality and then lays out the theoretical approaches now available for studying phase transitions. Traditional techniques, mean-field theory, series expansions, and the transfer matrix, are described; the Monte Carlo method is covered, and two chapters are devoted to the renormalization group, which led to a break-through in the field. The book will be useful as a textbook for a course in `Phase Transitions', as an introduction for graduate students undertaking research in related fields, and as an overview for scientists in other disciplines who work with phase transitions but who are not aware of the current tools in the armoury of the theoretical physicist. - ;Introduction; Statistical mechanics and thermodynamics; Models; Mean-field theories; The transfer matrix; Series expansions; Monte Carlo simulations; The renormalization group; Implementations of the renormalization group. -

The Theory of Critical Phenomena

J. J. Binney,N. J. Dowrick,A. J. Fisher,M. E. J. Newman
The Theory of Critical Phenomena Book PDF

Author : J. J. Binney,N. J. Dowrick,A. J. Fisher,M. E. J. Newman
Publisher : Oxford University Press
Page : 477 pages
File Size : 51,8 Mb
Release : 1992-06-11
Category : Science
ISBN : 9780191660566

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The Theory of Critical Phenomena by J. J. Binney,N. J. Dowrick,A. J. Fisher,M. E. J. Newman Pdf

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.

Elements of Phase Transitions and Critical Phenomena

Hidetoshi Nishimori,Gerardo Ortiz
Elements of Phase Transitions and Critical Phenomena Book PDF

Author : Hidetoshi Nishimori,Gerardo Ortiz
Publisher : Oxford University Press
Page : 373 pages
File Size : 54,8 Mb
Release : 2011
Category : Science
ISBN : 9780199577224

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Elements of Phase Transitions and Critical Phenomena by Hidetoshi Nishimori,Gerardo Ortiz Pdf

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 Japanese 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 text useful for self-teaching, as well as for classroom learning.

The Physics of Phase Transitions

Pierre Papon,Jacques Leblond,Paul H.E. Meijer
The Physics of Phase Transitions Book PDF

Author : Pierre Papon,Jacques Leblond,Paul H.E. Meijer
Publisher : Springer Science & Business Media
Page : 410 pages
File Size : 44,6 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662049891

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The Physics of Phase Transitions by Pierre Papon,Jacques Leblond,Paul H.E. Meijer Pdf

The Physics of Phase Transitions occupies an important place at the crossroads of several fields central to materials sciences. This second edition incorporates new developments in the states of matter physics, in particular in the domain of nanomaterials and atomic Bose-Einstein condensates where progress is accelerating. New information and application examples are included. This work deals with all classes of phase transitions in fluids and solids, containing chapters on evaporation, melting, solidification, magnetic transitions, critical phenomena, superconductivity, and more. End-of-chapter problems and complete answers are included.

Quantum Phase Transitions

Subir Sachdev
Quantum Phase Transitions Book PDF

Author : Subir Sachdev
Publisher : Cambridge University Press
Page : 521 pages
File Size : 49,7 Mb
Release : 2011-04-07
Category : Science
ISBN : 9781139500210

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Quantum Phase Transitions by Subir Sachdev Pdf

Describing the physical properties of quantum materials near critical points with long-range many-body quantum entanglement, this book introduces readers to the basic theory of quantum phases, their phase transitions and their observable properties. This second edition begins with a new section suitable for an introductory course on quantum phase transitions, assuming no prior knowledge of quantum field theory. It also contains several new chapters to cover important recent advances, such as the Fermi gas near unitarity, Dirac fermions, Fermi liquids and their phase transitions, quantum magnetism, and solvable models obtained from string theory. After introducing the basic theory, it moves on to a detailed description of the canonical quantum-critical phase diagram at non-zero temperatures. Finally, a variety of more complex models are explored. This book is ideal for graduate students and researchers in condensed matter physics and particle and string theory.

Probability and Phase Transition

G.R. Grimmett
Probability and Phase Transition Book PDF

Author : G.R. Grimmett
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 52,7 Mb
Release : 1994-01-31
Category : Mathematics
ISBN : 0792327209

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Probability and Phase Transition by G.R. Grimmett Pdf

This volume describes the current state of knowledge of random spatial processes, particularly those arising in physics. The emphasis is on survey articles which describe areas of current interest to probabilists and physicists working on the probability theory of phase transition. Special attention is given to topics deserving further research. The principal contributions by leading researchers concern the mathematical theory of random walk, interacting particle systems, percolation, Ising and Potts models, spin glasses, cellular automata, quantum spin systems, and metastability. The level of presentation and review is particularly suitable for postgraduate and postdoctoral workers in mathematics and physics, and for advanced specialists in the probability theory of spatial disorder and phase transition.

The Routledge Handbook of Emergence

Sophie Gibb,Robin Findlay Hendry,Tom Lancaster
The Routledge Handbook of Emergence Book PDF

Author : Sophie Gibb,Robin Findlay Hendry,Tom Lancaster
Publisher : Routledge
Page : 420 pages
File Size : 41,6 Mb
Release : 2019-03-13
Category : Philosophy
ISBN : 9781317381501

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The Routledge Handbook of Emergence by Sophie Gibb,Robin Findlay Hendry,Tom Lancaster Pdf

Emergence is often described as the idea that the whole is greater than the sum of the parts: interactions among the components of a system lead to distinctive novel properties. It has been invoked to describe the flocking of birds, the phases of matter and human consciousness, along with many other phenomena. Since the nineteenth century, the notion of emergence has been widely applied in philosophy, particularly in contemporary philosophy of mind, philosophy of science and metaphysics. It has more recently become central to scientists’ understanding of phenomena across physics, chemistry, complexity and systems theory, biology and the social sciences. The Routledge Handbook of Emergence is an outstanding reference source and exploration of the concept of emergence, and is the first collection of its kind. Thirty-two chapters by an international team of contributors are organised into four parts: Foundations of emergence Emergence and mind Emergence and physics Emergence and the special sciences Within these sections important topics and problems in emergence are explained, including the British Emergentists; weak vs. strong emergence; emergence and downward causation; dependence, complexity and mechanisms; mental causation, consciousness and dualism; quantum mechanics, soft matter and chemistry; and evolution, cognitive science and social sciences. Essential reading for students and researchers in philosophy of mind, philosophy of science and metaphysics, The Routledge Handbook of Emergence will also be of interest to those studying foundational issues in biology, chemistry, physics and psychology.

Scale Invariance

Annick LESNE,Michel Laguës
Scale Invariance Book PDF

Author : Annick LESNE,Michel Laguës
Publisher : Springer Science & Business Media
Page : 406 pages
File Size : 46,7 Mb
Release : 2011-11-04
Category : Science
ISBN : 9783642151231

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Scale Invariance by Annick LESNE,Michel Laguës Pdf

During a century, from the Van der Waals mean field description (1874) of gases to the introduction of renormalization group (RG techniques 1970), thermodynamics and statistical physics were just unable to account for the incredible universality which was observed in numerous critical phenomena. The great success of RG techniques is not only to solve perfectly this challenge of critical behaviour in thermal transitions but to introduce extremely useful tools in a wide field of daily situations where a system exhibits scale invariance. The introduction of scaling, scale invariance and universality concepts has been a significant turn in modern physics and more generally in natural sciences. Since then, a new "physics of scaling laws and critical exponents", rooted in scaling approaches, allows quantitative descriptions of numerous phenomena, ranging from phase transitions to earthquakes, polymer conformations, heartbeat rhythm, diffusion, interface growth and roughening, DNA sequence, dynamical systems, chaos and turbulence. The chapters are jointly written by an experimentalist and a theorist. This book aims at a pedagogical overview, offering to the students and researchers a thorough conceptual background and a simple account of a wide range of applications. It presents a complete tour of both the formal advances and experimental results associated with the notion of scaling, in physics, chemistry and biology.

Finite-Size Scaling

J. Cardy
Finite Size Scaling Book PDF

Author : J. Cardy
Publisher : Elsevier
Page : 385 pages
File Size : 48,8 Mb
Release : 2012-12-02
Category : Computers
ISBN : 9780444596062

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Finite-Size Scaling by J. Cardy Pdf

Over the past few years, finite-size scaling has become an increasingly important tool in studies of critical systems. This is partly due to an increased understanding of finite-size effects by analytical means, and partly due to our ability to treat larger systems with large computers. The aim of this volume was to collect those papers which have been important for this progress and which illustrate novel applications of the method. The emphasis has been placed on relatively recent developments, including the use of the &egr;-expansion and of conformal methods.

Renormalization Methods

W. D. McComb
Renormalization Methods Book PDF

Author : W. D. McComb
Publisher : Oxford University Press
Page : 349 pages
File Size : 41,8 Mb
Release : 2004
Category : Business & Economics
ISBN : 9780198506942

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Renormalization Methods by W. D. McComb Pdf

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.

Electron-Phonon Interactions and Phase Transitions

T. Riste
Electron Phonon Interactions and Phase Transitions Book PDF

Author : T. Riste
Publisher : Springer Science & Business Media
Page : 431 pages
File Size : 53,8 Mb
Release : 2013-03-09
Category : Science
ISBN : 9781461589211

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Electron-Phonon Interactions and Phase Transitions by T. Riste Pdf

This NATO Advanced Study Institute was the fourth in a series devoted to the subject of phase transitions and instabilities with particular attention to structural phase transforma~ions. Beginning wi th the first Geilo institute in 19'(1 we have seen the emphasis evolve from the simple quasiharmonic soft mode description within the Landau theory, through the unexpected spectral structure re presented by the "central peak" (1973), to such subjects as melting, turbulence and hydrodynamic instabilities (1975). Sophisticated theoretical techniques such as scaling laws and renormalization group theory developed over the same period have brought to this wide range of subjects a pleasing unity. These institutes have been instrumental in placing structural transformations clearly in the mainstream of statistical physics and critical phenomena. The present Geilo institute retains some of the counter cul tural flavour of the first one by insisting whenever possible upon peeking under the skirts of even the most successful phenomenology to catch a glimpse of the underlying microscopic processes. Of course the soft mode remains a useful concept, but the major em phasis of this institute is the microscopic cause of the mode softening. The discussions given here illustrate that for certain important classes of solids the cause lies in the electron phonon interaction. Three major types of structural transitions are considered. In the case of metals and semimetals, the electron phonon interaction relie6 heavily on the topology of the Fermi surface.