Physics – Plasma Physics
Scientific paper
Dec 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009agufmsm43b1760r&link_type=abstract
American Geophysical Union, Fall Meeting 2009, abstract #SM43B-1760
Physics
Plasma Physics
[2159] Interplanetary Physics / Plasma Waves And Turbulence, [4490] Nonlinear Geophysics / Turbulence, [7831] Space Plasma Physics / Laboratory Studies And Experimental Techniques, [7863] Space Plasma Physics / Turbulence
Scientific paper
The self-preservation hypothesis of von Karman [1] implies that in three dimensiolnal turbulence the energy E decays as dE/dt = - a Z^3/L, where a is a constant, Z is the turbulence amplitude and L is a simlarity length scale. Extensions of this idea to MHD [2] has been of great utility in solar wind and coronal heating studies. Here we conduct an experimental study of this idea in the context of two dimensional electron plasma turbulence. In particular, we examine the time evolution that leads to dynamical relaxation of a pure electron plasma in a Malmberg-Penning (MP) trap, comparing experiments and statistical theories of weakly dissipative two-dimensional (2D) turbulence [3]. A formulation of von Karman-Howarth (vKH) self-preserving decay is presented for a 2D positive-vorticity fluid, a system that corresponds closely to a 2D electron ExB drift plasma. When the enstrophy of the meta-stable equilibrium is accounted for, the enstrophy decay follows the predicted vKH decay for a variety of initial conditions in the MP experiment. Statistical analysis favors a theoretical picture of relaxation to a near-maximum entropy state, evidently driven by a self-preserving decay of enstrophy. [1] T. de Karman and L. Howarth, Proc. Roy. Soc Lon. A, 164, 192, 1938. [2] W. H. Matthaeus, G. P. Zank, and S. Oughton. J. Plas. Phys., 56:659, 1996. [3] D. J. Rodgers, S. Servidio, W. H. Matthaeus, D. C. Montgomery, T. B. Mitchell, and T. Aziz. Phys. Rev. Lett., 102(24):244501, 2009.
Aziz T.
Matthaeus William H.
Mitchell Thomas
Montgomery David
Rodgers David
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