ean 9780199689385 temática FÍSICA GENERAL año Publicación 2014 idioma INGLÉS editorial OXFORD UNIVERSITY PRESS formato CARTONÉ 69,21 €    PEDIR   NOVEDAD

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física general

Presents statistical theory (i.e. renormalization methods) in the language of fluid dynamics, rather than the arcane jargon of quantum field theory Gives equal weight to phenomenology and renormalization theories, and discusses the relationships between the two approaches Formulates the problem clearly and precisely, and provides a critical assessment of the ways in which theories can be tested Gives a concise, clear, and comprehensive statement of the mathematical equations and formulae which make up the essential tools for fundamental research in turbulence Treats both the real-space and wavenumber-space formulations, and encourages the reader to move fluently between them Fluid turbulence is often referred to as `the unsolved problem of classical physics’. Yet, paradoxically, its mathematical description resembles quantum field theory. The present book addresses the idealised problem posed by homogeneous, isotropic turbulence, in order to concentrate on the fundamental aspects of the general problem. It is written from the perspective of a theoretical physicist, but is designed to be accessible to all researchers in turbulence, both theoretical and experimental, and from all disciplines. The book is in three parts, and begins with a very simple overview of the basic statistical closure problem, along with a summary of current theoretical approaches. This is followed by a precise formulation of the statistical problem, along with a complete set of mathematical tools (as needed in the rest of the book), and a summary of the generally accepted phenomenology of the subject. Part 2 deals with current issues in phenomenology, including the role of Galilean invariance, the physics of energy transfer, and the fundamental problems inherent in numerical simulation. Part 3 deals with renormalization methods, with an emphasis on the taxonomy of the subject, rather than on lengthy mathematical derivations. The book concludes with some discussion of current lines of research and is supplemented by three appendices containing detailed mathematical treatments of the effect of isotropy on correlations, the properties of Gaussian distributions, and the evaluation of coefficients in statistical theories.

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Part I: The fundamental problem, the basic statistical formulation, and the phenomenology of energy transfer 1: Overview of the statistical problem 2: Basic equations and definitions in x-space and k-space 3: Formulation of the statistical problem 4: Turbulence energy: its inertial transfer and dissipation Part II: Phenomenology: some current research and unresolved issues 5: Galilean invariance (GI) 6: Kolmogorov’s (1941) theory revisited 7: Turbulence dissipation and decay 8: Theoretical constraints on mode reduction and the turbulence response Part III: Statistical theory and future directions 9: The Kraichnan-Wyld-Edwards (KWE) covariance equations 10: Two-point closures: some basic issues 11: Renormalization group (RG) applied to turbulence 12: Work in progress and future directions Part IV: Appendices A: Implications of isotropy and continuity for correlation tensors B: Properties of Gaussian distributions C: Evaluation of the L(k; j) coefficient