Zimbardo G, Veltri P, Pommois P
Dipartimento di Fisica, Universita della Calabria, I-87030 Arcavacata di Rende, Italy and Istituto Nazionale di Fisica della Materia, Unita di Cosenza, I-87030 Arcavacata di Rende, Italy.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Feb;61(2):1940-8. doi: 10.1103/physreve.61.1940.
We studied a magnetic turbulence axisymmetric around the unperturbed magnetic field for cases having different ratios l( ||)/l( perpendicular). We find, in addition to the fact that a higher fluctuation level deltaB/B(0) makes the system more stochastic, that by increasing the ratio l( ||)/l( perpendicular) at fixed deltaB/B(0), the stochasticity increases. It appears that the different transport regimes can be organized in terms of the Kubo number R=(deltaB/B(0))(l( ||)/l( perpendicular)). The simulation results are compared with the two analytical limits, that is the percolative limit and the quasilinear limit. When R<<1 weak chaos, closed magnetic surfaces, and anomalous transport regimes are found. When R approximately 1 the diffusion regime is Gaussian, and the quasilinear scaling of the diffusion coefficient D( perpendicular) approximately (deltaB/B(0))(2) is recovered. Finally, for R>>1 the percolation scaling of the diffusion coefficient D( perpendicular) approximately (deltaB/B(0))(0.7) is obtained.
我们研究了围绕未受扰动磁场呈轴对称的磁湍流,研究对象为具有不同(l_{||}/l_{\perp})比值的情况。我们发现,除了较高的涨落水平(\delta B/B_0)会使系统更具随机性这一事实外,在固定的(\delta B/B_0)下增大(l_{||}/l_{\perp})比值,随机性也会增加。不同的输运机制似乎可以根据久保数(R = (\delta B/B_0)(l_{||}/l_{\perp}))来进行分类。将模拟结果与两个解析极限进行了比较,即渗流极限和准线性极限。当(R << 1)时,发现了弱混沌、封闭磁面和反常输运机制。当(R \approx 1)时,扩散机制是高斯型的,并且恢复了扩散系数(D_{\perp} \approx (\delta B/B_0)^2)的准线性标度关系。最后,对于(R >> 1),得到了扩散系数(D_{\perp} \approx (\delta B/B_0)^{0.7})的渗流标度关系。