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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Generalised Sagdeev potentials for dusty plasmas with varying grain charges
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Generalised Sagdeev potentials for dusty plasmas with varying grain charges

机译:具有不同颗粒电荷的尘埃等离子体的广义Sagdeev势

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Grain charges in a dusty plasma are deter-mined by the random currents from the ambient plasma and vary with the local conditions. The charge on a slowly moving grain will be close to the locally determined equilibrium. given for zero net current to the grain. For a steady electrostatic structure (e.g., solitary wave, double layer) integrals of motion for grains with varying charge can then be found. (These integrals reduce to the total energy if the charge is constant. but in general the electrostatic term becomes an integral of the grain charge with respect to the potential.) Steady state solutions of Vlasov's equation are piecewise given by arbitrary functions of these integrals of motion. A generalised Sagdeev (Classical) potential can be found, which is. to within an added constant. equal to minus the sum of the total particle pressures (including that of the grains). This extends the well known equivalence found for conventional plasmas and dusty plasmas with constant grain charges. The analysis of dust acoustic solitary waves is modified by additional terms proportional to potential derivatives of the charge. A grain size distribution may be incorporated. The second derivative of the Sagdeev potential (leading to the generalised Bohm condition) is then Riven in terms of the same effective distribution function as found for linear electrostatic modes. Comparisons are made with several analyses of nonlinear electrostatic structures including dynamical charging. [References: 30]
机译:尘土等离子体中的颗粒电荷由周围等离子体的随机电流确定,并随当地条件而变化。缓慢移动的谷物上的电荷将接近局部确定的平衡。给谷物的净电流为零。对于稳定的静电结构(例如孤波,双层),可以找到带变化电荷的晶粒的运动积分。 (如果电荷恒定,这些积分将减少到总能量。但是通常,静电项相对于电势成为谷物电荷的积分。)Vlasov方程的稳态解由这些积分的任意函数分段给出运动。可以找到一个广义的Sagdeev(古典)势。到一个附加常数之内。等于减去总颗粒压力(包括颗粒压力)的总和。这扩展了常规等离子和具有恒定颗粒电荷的粉尘等离子的众所周知的等效性。尘埃声孤立波的分析通过与电荷的潜在导数成比例的附加项进行了修改。可以并入晶粒尺寸分布。然后,根据与线性静电模式相同的有效分布函数,将Sagdeev势的二阶导数(导致广义的Bohm条件)。通过对包括动态充电在内的非线性静电结构的几种分析进行比较。 [参考:30]

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