用中心极限定理求脉冲有源力作用下的松弛时间

IF 3.1 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
J.L. Domenech-Garret
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引用次数: 0

摘要

本文研究了受时变脉冲力扰动的一般等离子体的弛豫时间。这个时间脉冲是用高斯叠加来建模的。在这样的脉冲过程中,考虑两种力:非均匀振荡电磁力和相应的质动势。这个整体的演化是由玻尔兹曼方程驱动的,而受扰动的总体是由幂律分布函数描述的。本文利用分布函数的矩量和中心极限定理来分析两种分布之间的暂态,作为一种新的特征。这种方法,连同特别解出的脉冲力系统下电荷的运动方程,可以找到时间脉冲与松弛时间和动态条件的对应表达式。我们用精确碰撞算子与相应的松弛时间的解析表达式进行了比较,验证了这一新技术。此外,为了分析物理过程中涉及的相关参数对这种弛豫时间的影响,我们对等离子体进行了参数化以进行数值估计。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Relaxation times under pulsed ponderomotive forces using the Central Limit Theorem
We study the relaxation time of a generic plasma which is perturbed by means of a time-dependent pulsed force. This time pulse is modelled using a Gaussian superposition. During such a pulse two forces are considered: An inhomogeneous oscillating electric force and the corresponding ponderomotive force. The evolution of that ensemble is driven by the Boltzmann Equation, and the perturbed population is described by a power-law distribution function. In this work, as a new feature, instead the usual techniques the transient between both distributions is analysed using the moments of such distribution function and the Central Limit Theorem. This technique, together with the, ad hoc solved, equation of motion of the charges under this particular system of pulsed forces, allows to find the corresponding expressions relating the time pulse with the relaxation times and the dynamic conditions. We validate that new technique by comparison with the analytical expression using the corresponding relaxation time using an exact collision operator. Moreover, we parameterise this plasma to make numerical estimates in order to analyse the impact of relevant parameters involved in the physical process on such a relaxation time.
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来源期刊
CiteScore
7.20
自引率
9.10%
发文量
852
审稿时长
6.6 months
期刊介绍: Physica A: Statistical Mechanics and its Applications Recognized by the European Physical Society Physica A publishes research in the field of statistical mechanics and its applications. Statistical mechanics sets out to explain the behaviour of macroscopic systems by studying the statistical properties of their microscopic constituents. Applications of the techniques of statistical mechanics are widespread, and include: applications to physical systems such as solids, liquids and gases; applications to chemical and biological systems (colloids, interfaces, complex fluids, polymers and biopolymers, cell physics); and other interdisciplinary applications to for instance biological, economical and sociological systems.
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