Irreversible Processes in Ionized Gases

Irreversible Processes in Ionized Gases
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DOI:
10.1063/1.1706002
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发表时间:
1960
期刊:
影响因子:
4.6
通讯作者:
R. Balescu
R. Balescu
中科院分区:
工程技术2区
文献类型:
--
作者:
R. Balescu

文献摘要

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Prigogine和Balescu发展的不可逆过程的一般理论,适用于电离气体中的长程相互作用的情况。一个类似的图表技术允许系统选择的所有贡献的演变的分布函数,一个近似的顺序相当于德拜的平衡理论。以这种方式出现的无穷级数可以精确求和。由此产生的演化方程具有明确的物理意义:它们描述了“准粒子”的相互作用,这些粒子是被极化云“装扮”的电子或离子。这些云并不像平衡理论中那样是一个永久的特征,而是具有一种非平衡的、不断变化的形状,被粒子的运动所扭曲。从数学的角度来看,这些方程表现出一种新型的非线性,这与相互作用的集体性质非常直接相关。
The general theory of irreversible processes, developed by Prigogine and Balescu, is applied to the case of long range interactions in ionized gases. A similar diagram technique permits the systematic selection of all the contributions to the evolution of the distribution function, to an order of approximation equivalent to Debye's equilibrium theory. The infinite series which appear in this way can be summed exactly. The resulting evolution equations have a clear physical significance: they describe interactions of ``quasi particles,'' which are electrons or ions ``dressed'' by their polarization clouds. These clouds are not a permanent feature, as in equilibrium theory, but have a nonequilibrium, changing shape, distorted by the motions of the particles. From the mathematical point of view, these equations exhibit a new type of nonlinearity, which is very directly related to the collective nature of the interactions.