尘埃颗粒充电及大小分布对等离子体输运及波动现象的影响

项目名称： 尘埃颗粒充电及大小分布对等离子体输运及波动现象的影响

项目编号： No.11275156

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 数理科学和化学

项目作者： 段文山

作者单位： 西北师范大学

项目金额： 86万元

中文摘要： 在普通等离子体中存在尘埃颗粒的等离子体叫尘埃等离子体。等离子体中尘埃颗粒的存在会大大改变等离子体的性质。电磁波在等离子体中传播时，一般等离子体理论由于忽略了尘埃颗粒的作用，结果造成电磁波衰减预期值远小于实际测量值。因此，研究尘埃等离子体中尘埃颗粒的作用具有重要的实际意义与理论意义。 本项目通过考虑尘埃颗粒的充电过程及大小分布分别求解尘埃等离子体流体力学方程组和含碰撞项的带电粒子的Boltzmann 方程。得到不同大小尘埃颗粒的充电过程及大小分布对于等离子体色散关系、多种波的传播特性等物理问题的影响。同时，我们将研究不同大小尘埃颗粒的充电过程对于尘埃等离子体电导、扩散、热传导和粘性的影响。得到输运系数、波的特征参数与尘埃颗粒大小分布、荷电量及充电过程的关系。获得容易测量的物理量和不容易测量的物理量之间的关系。这将对于进一步探索等离子体中尘埃颗粒的作用具有非常重要的理论意义与实际意义。

中文关键词： 尘埃等离子体；色散关系；非线性波；；

英文摘要： By considering the charging and size distribution of dust grains, we study the dusty plasma and try to obtain the dispersion relation, the character of dust acoustic wave, dust ion acoustic wave, dust negative ion wave, shock wave and the transport coefficient. We will deduce the formulation of conductivity for the dust plasma at weak ionization considering the dust size distribution and charging of the dust grains, by solving the Boltzmann' equation and Shukla equation, which are the governing equations on dust grain charge and discharge processes, provided that the weak external electromagnetic field is imposed By considering the size distribution and charging of the dust grains, we also consider a dusty multi-ion plasma system containing electrons, light positive ions, heavy negative ions, a extremely massive (few micron size) charge fluctuating dust grains. The dust negative ion acoustic (DNIA) shock waves, which are associated with negative ion dynamics and dust charge fluctuation, will be investigated by employing the reductive perturbation method and the numerical simulation. Since the characters of the dispersion relation, the parameters of the waves and the transport coefficient can be easily measured in the experiments, we then can obtain some parameter which are difficult to be measured in the ex

英文关键词： Dusty plasma；Dispersion relation；Nonlinear wave；Soliton；