Abstract

Within the framework of the Gibbs statistical theory, the issue of the size distribution of particles forming a statistical system and the moments of this distribution are considered. The size distribution of particles and the moments of this distribution are determined from probabilistic considerations. The particle size depends on the interactions in the system, the compressibility factor, the number of interacting particles, and the volume of the system. The relations for the average particle size are substituted into expressions for the intrinsic volume of particles in the equations of state written using excluded volume theory for various expressions for the exclusion factor. The equations of state obtained in this way can be considered as a refinement of the equation of state for dense systems, that is, as a transition to a higher level of description.

中文翻译：

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吉布斯系统中粒子的状态方程和尺寸分布

摘要

在吉布斯统计理论的框架内，考虑形成统计系统的颗粒的尺寸分布问题以及该分布的矩。颗粒的尺寸分布和该分布的矩是根据概率考虑确定的。颗粒尺寸取决于系统中的相互作用、压缩因子、相互作用颗粒的数量以及系统的体积。将平均颗粒尺寸的关系代入使用排除体积理论编写的状态方程中的颗粒固有体积的表达式，以获取排除因子的各种表达式。以这种方式获得的状态方程可以被认为是对稠密系统状态方程的细化，即向更高层次描述的过渡。