| Issue |
Europhys. Lett.
Volume 73, Number 4, February 2006
|
|
|---|---|---|
| Page(s) | 547 - 552 | |
| Section | Physics of gases, plasmas and electric discharges | |
| DOI | https://doi.org/10.1209/epl/i2005-10439-9 | |
| Published online | 18 January 2006 | |
The role of the basic three-modes interaction during the free decay of magnetohydrodynamic turbulence
1
Dipartimento di Fisica, Università della Calabria Ponte P. Bucci, Cubo 31C, 87036 Rende (CS), Italy
2
Consorzio Nazionale Interuniversitario per le Scienze Fisiche della Materia (CNISM) Sezione di Cosenza, 87036 Rende (CS), Italy
Received:
11
October
2005
Accepted:
21
December
2005
We investigate the predictability of solutions of nonlinear relaxation
in two-dimensional magnetohydrodynamic equations without external
forcing terms (free decay). We use a Galerkin approximation for the
equations of motion by retaining only three interacting wave vectors,
to reduce the system to 
(when the fields have only real
amplitudes) or 
(when amplitudes are complex) ordinary
differential equations. We found that the asymptotic state of the
model with real amplitudes can be predicted, while that of the model
with complex amplitudes strongly depends on the time behavior of the
phases of fields.
PACS: 52.30.Cv – Magnetohydrodynamics (including electron magnetohydrodynamics) / 52.65.Kj – Magnetohydrodynamic and fluid equation / 52.35.Ra – Plasma turbulence
© EDP Sciences, 2006
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