| Author | : John V. Shebalin |
| File Size | : 52,5 Mb |
| Publisher | : Unknown |
| Language | : English |
| Release Date | : 21 June 2024 |
| ISBN | : NASA:31769000451719 |
| Pages | : 136 pages |
The Statistical Mechanics of Ideal Homogeneous Turbulence by John V. Shebalin Book PDF Summary
Plasmas, such as those found in the space environment or in plasma confinement devices, are often modeled as electrically conducting fluids. When fluids and plasmas are energetically stirred, regions of highly nonlinear, chaotic behavior known as turbulence arise. Understanding the fundamental nature of turbulence is a long-standing theoretical challenge. The present work describes a statistical theory concerning a certain class of nonlinear, finite dimensional, dynamical models of turbulence. These models arise when the partial differential equations describing incompressible, ideal (i.e., non-dissipative) homogeneous fluid and magnetofluid (i.e., plasma) turbulence are Fourier transformed into a very large set of ordinary differential equations. These equations define a divergenceless flow in a high-dimensional phase space, which allows for the existence of a Lionville theorem, guaranteeing a distribution function based on constants of the motion (integral invariants).
