标题： 在强电场产生的对等离子体中振荡频率的研究 显示英文标题

标题： On the frequency of oscillations in the pair plasma generated by a strong electric field

摘要： 我们研究了在均匀电场强度E的范围内，由真空极化产生的电子-正电子对的等离子体振荡频率，0.2 Ec < E < 10 Ec。 遵循[1]中采用的方法，我们推导出一个与速度相关的变量的二阶常微分方程，当E -> 0时，我们可以从中恢复经典的等离子体振荡方程。 因此，我们关注其随时间的演化，研究这种振荡频率如何接近等离子体频率。 计算了接近等离子体频率所需的时间尺度和这些振荡的功率谱。 功率谱的特征频率仅由电场强度的初始值确定。 讨论了等离子体简并和粒子对湮灭的影响。 显示英文摘要

摘要： We study the frequency of the plasma oscillations of electron-positron pairs created by the vacuum polarization in an uniform electric field with strength E in the range 0.2 Ec < E < 10 Ec. Following the approach adopted in [1] we work out one second order ordinary differential equation for a variable related to the velocity from which we can recover the classical plasma oscillation equation when E -> 0. Thereby, we focus our attention on its evolution in time studying how this oscillation frequency approaches the plasma frequency. The time-scale needed to approach to the plasma frequency and the power spectrum of these oscillations are computed. The characteristic frequency of the power spectrum is determined uniquely from the initial value of the electric field strength. The effects of plasma degeneracy and pair annihilation are discussed.