论文标题
多层次等离子体的固定状态
Stationary states of polytropic plasmas
论文作者
论文摘要
在本文中，我们证明了Kappa分布是在状态的多层次方程下的不均匀等离子体中Vlasov-Poisson系统的固定解，并且假设将局部速度分布限制在特定的数学形式中。理论上获得了密度，温度和电势的轮廓。如果已知初始状态，则可以确定KAPPA索引。为了验证理论，进行了粒子中的模拟，结果与电子的密度，温度和速度分布的理论预测非常吻合。结果表明，空间不均匀等离子体的电子速度分布从初始的麦克斯韦式发展到最终的kappa分布。还发现，在最终固定状态中KAPPA指数的值取决于血浆的初始状态。
In this paper, we prove that the kappa distribution is the stationary solution of the Vlasov-Poisson system in an inhomogeneous plasma under the polytropic equation of state and an assumption restricting the local velocity distribution to a specific mathematical form. The profiles of density, temperature, and electric potential are obtained theoretically. The kappa index can be determined if the initial state is known. In order to verify the theory, particle-in-cell simulations are made and the results show excellent agreement with the theoretical predictions for density, temperature, and velocity distributions of electrons. It is shown that the electron velocity distribution of spatially inhomogeneous plasma evolves from an initial Maxwellian to the final kappa distribution. It is also found that the value of kappa index in the final stationary state depends on the initial state of plasma.
