Plasma and Fluid Turbulence: Theory and Modelling, 1st Edition (Hardback) book cover

Plasma and Fluid Turbulence

Theory and Modelling, 1st Edition

By A. Yoshizawa, S.I. Itoh, K. Itoh

CRC Press

459 pages

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pub: 2002-11-12
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Theory and modelling with direct numerical simulation and experimental observations are indispensable in the understanding of the evolution of nature, in this case the theory and modelling of plasma and fluid turbulence. Plasma and Fluid Turbulence: Theory and Modelling explains modelling methodologies in depth with regard to turbulence phenomena and turbulent transport both in fluids and plasmas. Special attention is paid to structural formation and transitions.

In this detailed book, the authors examine the underlying ideas describing turbulence, turbulent transport, and structural transitions in plasmas and fluids. By comparing and contrasting turbulence in fluids and plasmas, they demonstrate the basic physical principles common to fluids and plasmas while also highlighting particular differences. The book also discusses the application of these ideas to neutral fluids.

Part I presents a general introduction to turbulence and structural formation in fluids and plasmas, and Part II explains methodologies for fluid turbulence. In Part III, the authors describe the subjects in magnetohydrodynamics, in particular, dynamo problems. The final section, Part IV, considers plasma turbulence and transport.

Table of Contents

Introductory Remarks

Structure Formation in Fluids and Plasmas

Fundamentals of Fluid Turbulence

Heuristic Turbulence Modelling

Statistical Theory of Fluid Turbulence

Fundamentals of Mean-Field Theory of Dynamo

Theoretical Estimate of Turbulence Effects on Magnetic-Field Equations

One-Point Dynamo Modelling with Emphasis on Self-Consistency

Typical Magnetic-Field Generation Processes

Application to Astro/geophysical and Fusion Dynamo Phenomena

Equations for Plasmas

Inhomogeneity and Modes in Plasmas

Inhomogeneous Strong Turbulence

Method for Strong Turbulence I. Renormalization and Statistical Method

Method for Strong Turbulence II. Scale Invariance Method

Method for Strong Turbulence III. Model Based on Reduced Variables

Inhomogeneity-Driven Turbulence

Global Flow Driven by Turbulence

Generation of Structure in Flow

Flow-Shear Suppression

Subcritical Excitation


Statistical Picture of Bifurcation

Transition Probability

Transient Response and Transport

Thermodynamical Equilibrium Fluctuations and Far Nonequilibrium Turbulence

About the Authors

Akira Yoshizawa Institute of Industrial Science, University of Tokyo, Japan Sanae-I Itoh Research Institute for Applied Mechanics, Kyushu University, Japan Kimitaka Itoh National Institute for Fusion Science, Toki, Japan

About the Series

Series in Plasma Physics

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Subject Categories

BISAC Subject Codes/Headings:
SCIENCE / Physics