Bigot Barbara, Galtier Sébastien, Politano Hélène
Institut d'Astrophysique Spatiale, Bâtiment 121, F-91405 Orsay (France); Université Paris-Sud XI and CNRS (UMR 8617), France.
Phys Rev Lett. 2008 Feb 22;100(7):074502. doi: 10.1103/PhysRevLett.100.074502. Epub 2008 Feb 19.
We investigate the influence of a uniform magnetic field B(0)=B(0)e( parallel) on energy decay laws in incompressible magnetohydrodynamic (MHD) turbulence. The nonlinear transfer reduction along B(0) is included in a model that distinguishes parallel and perpendicular directions, following a phenomenology of Kraichnan. We predict a slowing down of the energy decay due to anisotropy in the limit of strong B(0), with distinct power laws for energy decay of shear- and pseudo-Alfvén waves. Numerical results from the kinetic equations of Alfvén wave turbulence recover these predictions, and MHD numerical results clearly tend to follow them in the lowest perpendicular planes.
我们研究了均匀磁场(B(0)=B(0)e_{\parallel})对不可压缩磁流体动力学(MHD)湍流中能量衰减规律的影响。遵循克莱奇南的唯象学,沿(B(0))的非线性传输减少包含在一个区分平行和垂直方向的模型中。我们预测,在强(B(0))极限下,由于各向异性,能量衰减会减慢,剪切波和赝阿尔文波的能量衰减具有不同的幂律。阿尔文波湍流动力学方程的数值结果证实了这些预测,并且MHD数值结果在最低垂直平面上明显倾向于遵循这些预测。