标题： 一种数值可访问的、高精度的实空间中朗道阻尼的近似方法 显示英文标题

标题： A Numerically Accessible, High Precision Approximation of Landau Damping in Real Space

摘要： 线性朗道阻尼测试等离子体代码仅限于将从介电函数得到的正确衰减率近似值与模拟数据的密度衰减率进行比较。 在本文中，我们提出了一种出人意料的简单数值方法，用于计算线性化Vlasov方程在时域中的精确解，这允许直接测试模拟数据。 具体而言，当应用于传统衰减率评估时，我们方法的精度不受任何近似的限制。 此外，该方法能够测试由动力学等离子体代码模拟的完整分布函数。 为了说明，我们计算了密度和分布函数对初始密度扰动的响应。 显示英文摘要

摘要： Linear Landau damping tests of plasma codes are limited to density decay rate comparisons between approximations to the correct decay rate, obtained from the dielectric function, and simulated data. In this paper, we present a surprisingly simple numerical method for calculating the exact solution of the linearised Vlasov equation in the time domain, which allows for direct testing of simulated data. Specifically, when applied to the conventional evaluation of decay rates, the precision of our method is not restricted by any approximation. In addition, the method enables testing the complete distribution function as simulated by kinetic plasma codes. For illustration, we calculate the density and distribution function response to an initial density perturbation.