HR: 0800h
AN: NG21A-0207    [Abstracts]
TI: Intrinsic Structure of the Homogeneous Turbulent Dynamo
AU: * Shebalin, J V
EM: shebalin@uhcl.edu
AF: University of Houston-Clear Lake, UHCL/SCE, 2700 Bay Area Blvd, Houston, TX 77058-1098,
AB: Ideal, homogeneous, magnetohydrodynamic turbulence is represented by finite Fourier series whose coefficients form a statistical ensemble. Eigenvalues (all positive) and eigenvectors of the covariance matrix for each modal probability density are determined. The smallest eigenvalues occur at the lowest wave number and are associated with three dominant eigenvectors. When phase space is aligned with these three principal axes, the associated variables, in statistical equilibrium, are seen to be quasi-static and to contain significant energy, and thus define the homogeneous turbulent dynamo. Adding dissipation is expected to have minimal effect, since this intrinsic structure exists at the lowest wave number.
DE: 4485 Self-organization
DE: 4490 Turbulence (3379, 4568, 7863)
DE: 7524 Magnetic fields
DE: 7827 Kinetic and MHD theory
DE: 7863 Turbulence (4490)
SC: Nonlinear Geophysics [NG]
MN: 2007 Fall Meeting