Diaw A, Mora P
Centre de Physique Théorique, École Polytechnique, CNRS, FR-91128 Palaiseau, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Sep;84(3 Pt 2):036402. doi: 10.1103/PhysRevE.84.036402. Epub 2011 Sep 7.
The one-dimensional collisionless expansion into a vacuum of a plasma with a bi-Maxwellian electron distribution function and a single ion species is studied both theoretically and numerically. A shock wave occurs when the ratio of the temperatures between the hot and the cold electrons is larger than 5+√24 [B. Bezzerides, D. W. Forslund, and E. L. Lindman, Phys. Fluids 21, 2179 (1978)]. The theoretical model presented here gives a coherent and complete description of the rarefaction shock and its effects on the ion acceleration process. Analytical expressions of the characteristics of the shock are given. The analytical findings are compared to the results of a hybrid code describing the plasma expansion, and an excellent agreement is obtained.
对具有双麦克斯韦电子分布函数和单一离子种类的等离子体在真空中的一维无碰撞膨胀进行了理论和数值研究。当热电子与冷电子的温度比大于5 + √24时会出现激波[B. 贝泽里德斯、D. W. 福斯隆德和E. L. 林德曼,《物理流体》21, 2179 (1978)]。这里提出的理论模型对稀疏激波及其对离子加速过程的影响给出了连贯且完整的描述。给出了激波特性的解析表达式。将解析结果与描述等离子体膨胀的混合代码的结果进行了比较,得到了很好的一致性。