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Geometrical Formulation of Renormalization-Group Method as an Asymptotic Analysis, Kunihiro


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Автор: Kunihiro
Название:  Geometrical Formulation of Renormalization-Group Method as an Asymptotic Analysis
ISBN: 9789811681912
Издательство: Springer
Классификация:

ISBN-10: 9811681910
Обложка/Формат: Soft cover
Страницы: 486
Вес: 0.77 кг.
Дата издания: 18.04.2023
Серия: Fundamental Theories of Physics
Язык: English
Издание: 1st ed. 2022
Иллюстрации: 9 illustrations, color; 12 illustrations, black and white; xvii, 486 p. 21 illus., 9 illus. in color.
Размер: 235 x 155
Читательская аудитория: Professional & vocational
Основная тема: Physics
Подзаголовок: With Applications to Derivation of Causal Fluid Dynamics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book presents a comprehensive account of the renormalization-group (RG) method and its extension, the doublet scheme, in a geometrical point of view. It extract long timescale macroscopic/mesoscopic dynamics from microscopic equations in an intuitively understandable way rather than in a mathematically rigorous manner and introduces readers to a mathematically elementary, but useful and widely applicable technique for analyzing asymptotic solutions in mathematical models of nature. The book begins with the basic notion of the RG theory, including its connection with the separation of scales. Then it formulates the RG method as a construction method of envelopes of the naive perturbative solutions containing secular terms, and then demonstrates the formulation in various types of evolution equations. Lastly, it describes successful physical examples, such as stochastic and transport phenomena including second-order relativistic as well as nonrelativistic fluid dynamics with causality and transport phenomena in cold atoms, with extensive numerical expositions of transport coefficients and relaxation times. Requiring only an undergraduate-level understanding of physics and mathematics, the book clearly describes the notions and mathematical techniques with a wealth of examples. It is a unique and can be enlightening resource for readers who feel mystified by renormalization theory in quantum field theory.
Дополнительное описание: Notion of Effective Theories in Physical Sciences.- Divergence and Secular Term in the Perturbation Series of Ordinary Differential Equations.- Traditional Resummation Methods.- Elementary Introduction of the RG method in Terms of the Notion of Envelopes.



Statistical Mechanics: From Thermodynamics to the Renormalization Group

Автор: Luscombe James H.
Название: Statistical Mechanics: From Thermodynamics to the Renormalization Group
ISBN: 0367689278 ISBN-13(EAN): 9780367689278
Издательство: Taylor&Francis
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Цена: 27562.00 р.
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Описание: This textbook provides a comprehensive, yet accessible, introduction to statistical mechanics. Crafted and class-tested over many years of teaching, it carefully guides advanced undergraduate and graduate students who are encountering statistical mechanics for the first time through this - sometimes - intimidating subject.

Renormalization Group and Fixed Points

Автор: Timothy J Hollowood
Название: Renormalization Group and Fixed Points
ISBN: 3642363113 ISBN-13(EAN): 9783642363115
Издательство: Springer
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Цена: 6529.00 р.
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Описание: This Brief presents an introduction to the theory of the renormalization group in the context of quantum field theories of relevance to particle physics. An introduction is given to some of the remarkable renormalization group properties of supersymmetric theories.

Renormalization Group Theory

Автор: Ulrich K?bler; Andreas Hoser
Название: Renormalization Group Theory
ISBN: 3642261469 ISBN-13(EAN): 9783642261466
Издательство: Springer
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Цена: 26120.00 р.
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Описание: This book reviews experimental work on solid state physics and shows in a phenomenological way that the dynamics of ordered magnets and conventional superconductors is controlled by field particles of the infinite solid and not by magnons and Cooper pairs.

Quantum Gravity and the Functional Renormalization Group: The Road Towards Asymptotic Safety

Автор: Reuter Martin, Saueressig Frank
Название: Quantum Gravity and the Functional Renormalization Group: The Road Towards Asymptotic Safety
ISBN: 1107107326 ISBN-13(EAN): 9781107107328
Издательство: Cambridge Academ
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Цена: 21384.00 р.
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Описание: This volume provides a unique introduction to the gravitational asymptotic safety scenario within quantum gravity research. Aimed at graduate students and experienced researchers alike, it guides readers from the foundations to the state-of-the-art in the field, including applications to black holes and the cosmology near the Big Bang.

Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems

Автор: Evgeny Barkhudarov
Название: Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems
ISBN: 3319061534 ISBN-13(EAN): 9783319061535
Издательство: Springer
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Цена: 18167.00 р.
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Описание: The RG calculation reproduced established results, but in a more concise form, and showed the effect of the cut-offs on the Debye screening length.The main part of the thesis is the application of the dynamic RG to turbulence in magnetohydrodynamics.

Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems

Автор: Taiki Haga
Название: Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems
ISBN: 9811361703 ISBN-13(EAN): 9789811361708
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book investigates phase transitions and critical phenomena in disordered systems driven out of equilibrium. First, the author derives a dimensional reduction property that relates the long-distance physics of driven disordered systems to that of lower dimensional pure systems. By combining this property with a modern renormalization group technique, the critical behavior of random field spin models driven at a uniform velocity is subsequently investigated. The highlight of this book is that the driven random field XY model is shown to exhibit the Kosterlitz–Thouless transition in three dimensions. This is the first example of topological phase transitions in which the competition between quenched disorder and nonequilibrium driving plays a crucial role. The book also includes a pedagogical review of a renormalizaion group technique for disordered systems.

Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems

Автор: Haga Taiki
Название: Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems
ISBN: 9811361738 ISBN-13(EAN): 9789811361739
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book investigates phase transitions and critical phenomena in disordered systems driven out of equilibrium. First, the author derives a dimensional reduction property that relates the long-distance physics of driven disordered systems to that of lower dimensional pure systems.

Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems

Автор: Evgeny Barkhudarov
Название: Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems
ISBN: 3319360280 ISBN-13(EAN): 9783319360287
Издательство: Springer
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Цена: 13059.00 р.
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Описание: The RG calculation reproduced established results, but in a more concise form, and showed the effect of the cut-offs on the Debye screening length.The main part of the thesis is the application of the dynamic RG to turbulence in magnetohydrodynamics.

Non-Perturbative Renormalization Group Approach to Some Out-Of-Equilibrium Systems: Diffusive Epidemic Process and Fully Developed Turbulence

Автор: Tarpin Malo
Название: Non-Perturbative Renormalization Group Approach to Some Out-Of-Equilibrium Systems: Diffusive Epidemic Process and Fully Developed Turbulence
ISBN: 3030398730 ISBN-13(EAN): 9783030398736
Издательство: Springer
Цена: 13974.00 р.
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Описание: This thesis presents the application of non-perturbative, or functional, renormalization group to study the physics of critical stationary states in systems out-of-equilibrium. The first system is the diffusive epidemic process, a stochastic process which models the propagation of an epidemic within a population.

The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics

Автор: Vasil`ev, A.N.
Название: The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics
ISBN: 0415310024 ISBN-13(EAN): 9780415310024
Издательство: Taylor&Francis
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Цена: 29093.00 р.
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Renormalization and Invariance in Quantum Field Theory

Автор: Eduardo Caianiello
Название: Renormalization and Invariance in Quantum Field Theory
ISBN: 1461589118 ISBN-13(EAN): 9781461589112
Издательство: Springer
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Цена: 12157.00 р.
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Описание: The subject matter of this Advanced Study Institute, which has been rendered possible by the generous support of NATO, gratefully acknow- ledged here, is of central importance to quantum field theory today.

Introduction To The Theory Of Critical Phenomena: Mean Field, Fluctuations And Renormalization (2Nd Edition)

Автор: Uzunov Dimo I
Название: Introduction To The Theory Of Critical Phenomena: Mean Field, Fluctuations And Renormalization (2Nd Edition)
ISBN: 9814299480 ISBN-13(EAN): 9789814299480
Издательство: World Scientific Publishing
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Цена: 19800.00 р.
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Описание: Presents a comprehensive introduction to the theory of phase transitions and critical phenomena. This title 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.


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