Initial Condition Sensitivity of Global Quantities in Magnetohydrodynamic Turbulence

Details Initial Condition Sensitivity of Global Quantities in Magnetohydrodynamic Turbulence Initial Condition Sensitivity of Global Quantities in Magnetohydrodynamic Turbulence

1998-03-16

arxiv.org/abs/chao-dyn/9803023v1

Nonlinear Sciences

Chaotic Dynamics

12 pages LateX, 11 ps figures. Accepted for publication by Physics of Plasmas

Scientific paper

10.1063/1.872937

In this paper we study the effect of subtle changes in initial conditions on the evolution of global quantities in two-dimensional Magnetohydrodynamic (MHD) turbulence. We find that a change in the initial phases of complex Fourier modes of the Els\"{a}sser variables, while keeping the initial values of total energy, cross helicity and Alfv\'{e}n ratio unchanged, has a significant effect on the evolution of cross helicity. On the contrary, the total energy and Alfv\'{e}n ratio are insensitive to the initial phases. Our simulations are based on direct numerical simulation using the pseudo-spectral method.

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