Decay laws for three-dimensional magnetohydrodynamic turbulence

被引:108
作者
Biskamp, D [1 ]
Müller, WC [1 ]
机构
[1] Max Planck Inst Plasmaphys, D-85748 Garching, Germany
关键词
D O I
10.1103/PhysRevLett.83.2195
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Novel decay laws in three-dimensional incompressible magnetohydrodynamic turbulence are obtained by high-resolution numerical simulations with up to 512(3) modes and explained by a simple theoretical model. For the typical case of finite magnetic helicity H the energy decay is governed by the conservation of H and the decay of the energy ratio Gamma = E-V/E-M. One finds the relation (E-5/2/epsilon H)Gamma(1/2)/(1 + Gamma)(3/2) = const, where epsilon = -dE/dt. Use of the numerical result that Gamma(t) proportional to E(t) gives the asymptotic law E similar to t(-0.5) in good agreement with the numerical observations. For the special case H = 0 the energy decreases more rapidly E similar to t(-1).
引用
收藏
页码:2195 / 2198
页数:4
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