绝热电荷扰动对非均匀热尘埃等离子体中三维孤波的影响

Effect of Adiabatic Dust Charge Fluctuation On Three-Dimensional Solitary Waves In Inhomogeneous Dusty Plasmas

尘埃颗粒上不断有电子流和离子流的出入以及二次电离、光电离等因素,所以尘埃颗粒上的带电量不是一个常量而是随着时间和空间变化的,因此尘埃电荷成为尘埃等离子体中的一个新的动力学变量,研究其对等离子体中各类非线性过程的作用成为尘埃等离子体物理中的一个重要课题。当今对于非均匀尘埃等离子中非线性波的研究大多数都集中于一维,对于三维非线性波的研究非常少。基于这种情况,在考虑非均匀性、尘埃颗粒绝热电荷扰动以及外部磁场等物理因素的情况下,运用约化摄动方法得出描述三维孤波的变系数的Korteweg-de Vries(KdV)方程。由结果可以看出,非均匀性、电荷扰动、外部磁场、斜向传播、尘埃温度对三维非线性波的传播有着极大的影响。利用适当的变换,得到了变系数方程的近似解。

In reality the charge on the dust grain varies both with space and time due to the electron and ion current flowing into or out of the dust grain, as well as other processes like secondary emission, photoemission of the electrons and etc. The dust charge fluctuation would be important for studying the behavior of dusty plasmas. Today the study to non-linear wave in inhomogeneous dusty plasmas is focused on one-dimensional and it is very small to three-dimensional. A modified variable coefficients Korteweg-de Vries （MKdV） equation is derived by using the reductive perturbation method with the inhomogeneity, the dust charge fluctuation, the dust temperature, and the external magnetic field. The results show the inhomogeneity, the dust charge fluctuation, the dust temperature, and the external magnetic field influence the propogation of three-dimensional nonlinear waves. The approximate analytical solution is obtained by using approprate transform.