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The Theory of Equilibrium Fluctuations of Thermodynamic Quantities in Open Systems with a Small Number of Particles

机译:带有少量粒子的开放系统中热力学量的平衡涨落理论

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Fluctuations in open subsystems with a small number of particles and fixed volume immersed in an equilibrium system (thermostat) are treated. Within the framework of classical thermodynamics, the distribution functions of fluctuations of the number of particles, momentum, and energy in these subsystems are derived. These results are compared with the corresponding data obtained for hard spheres using the method of molecular dynamics. Their satisfactory agreement is observed. It is demonstrated that the distribution functions of fluctuations of the number of particles and energy are significantly different from both the Gauss and Poisson distribution. The distribution function of fluctuations of momentum of a small subsystem is Gaussian and independent of the density of the thermostat.
机译:处理具有少量颗粒且浸没在平衡系统(恒温器)中的固定体积的开放子系统中的波动。在经典热力学的框架内,得出了这些子系统中粒子数量,动量和能量波动的分布函数。将这些结果与使用分子动力学方法针对硬球获得的相应数据进行比较。观察到他们的满意协议。结果表明,粒子数和能量波动的分布函数与高斯和泊松分布均存在显着差异。小型子系统的动量波动分布函数是高斯的,并且与恒温器的密度无关。

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