Description 
1 online resource (397 pages) 
Series 
World Scientific Lecture Notes in Complex Systems ; v.4 

World Scientific lecture notes in complex systems.

Contents 
Preface; Contents; Chapter 1. Introduction to Developed Turbulence; 1.1. Introduction; 1.2. Weak wave turbulence; 1.3. Strong wave turbulence; 1.4. Incompressible turbulence; 1.5. Zero modes and anomalous scaling; Bibliography; Chapter 2. Renormalization and Statistical Methods; 2.1. Introduction; 2.2. Overview of renormalization in physics with application to turbulence; 2.2.1. The basic programme of statistical physics; 2.2.2. Theoretical approaches; 2.2.3. Perturbation theory; 2.2.4. Meanfield theories; 2.2.5. Problems with many scales: the renormalization group 

2.3. Renormalized perturbation theories and twopoint turbulence closures2.3.1. A brief history of closures; 2.3.2. Basic equations in kspace; 2.3.3. Quasinormality hypothesis; 2.3.4. Perturbation theory; 2.3.5. Quasinormality versus perturbation theory; 2.3.6. Renormalised perturbation theory (RPT): the general idea; 2.3.7. Assessment of the pioneering RPTs; 2.3.8. The local energy transfer (LET) theory; 2.3.9. Numerical computation of RPTs; 2.3.10. Perceptions of RPTs; 2.3.11. New developments in LET; 2.3.12. Singletime LET equations 

2.4. Renormalization group (RG) applied to macroscopic fluid turbulence2.4.1. Three flavours of RG; 2.4.2. RG Algorithm for turbulence; 2.4.3. Turbulence mode elimination: the basic problem; 2.4.4. Gaussian perturbation theory in the limit k ₂!0; 2.4.5. The twofield theory of turbulence; 2.4.6. Update of the twofield theory of turbulence; 2.4.7. NonGaussian perturbation theory; 2.5. Conclusion; Bibliography; Chapter 3. Turbulence and Coherent Structures in the Ocean; 3.1. Introduction; 3.2. Specification of the problem; 3.2.1. Governing equations; 3.2.2. The ocean energy balances 

3.2.3. A fundamental problem3.3. Energy input; 3.3.1. Surface momentum forcing; 3.3.2. Tidal forcing; 3.3.3. Buoyancy forcing; 3.4. Energetics of mixing; 3.4.1. A simple example; 3.4.2. Stability of stratified shear flows; 3.4.3. Turbulent stratified shear flows; 3.4.4. Mixing associated with the abyssal stratification; 3.5. Energy transformations; 3.5.1. Internal wave pathway; 3.5.2. The mesoscale eddy pathway; 3.6. Summary and conclusions; Chapter 4. Analytical Descriptions of Plasma Turbulence; 4.1. LECTURE 1  Introduction to Plasma Turbulence 

4.1.1. The Liouville and Klimontovich equations, the Vlasov  Poisson system, and plasma kinetic equations4.1.2. Basic concepts of linear theory; 4.1.3. The gyrokinetic description; 4.1.4. Drift waves and the HasegawaMima equation; 4.1.5. The gyrokinetic transport problem; 4.1.6. Some other important equations; 4.1.7. The transition to plasma turbulence; 4.2. LECTURE 2  Statistical Closures and Plasma Turbulence; 4.2.1. Quasilinear theory; 4.2.2. Weakturbulence theory; 4.2.3. Resonancebroadening theory; 4.2.4. ""Systematic"" renormalization and the directinteraction approximation 
Summary 
This book is based on the lectures delivered at the 19th Canberra International Physics Summer School held at the Australian National University in Canberra (Australia) in January 2006. The problem of turbulence and coherent structures is of key importance in many fields of science and engineering. It is an area which is vigorously researched across a diverse range of disciplines such as theoretical physics, oceanography, atmospheric science, magnetically confined plasma, nonlinear optics, etc. Modern studies in turbulence and coherent structures are based on a variety of theoretical concepts 
Notes 
4.2.5. Markovian closures 

Print version record 
Form 
Electronic book

Author 
Punzmann, Horst.

ISBN 
9789812774071 

9812774076 
