标题： 吸附在活性表面上的气体分子的平衡分布 显示英文标题

标题： The Equilibrium Distribution of Gas Molecules Adsorbed on an Active Surface

摘要： 我们评估了吸附在具有无限多个附着位点的活性表面上的气体分子的精确平衡分布。 我们的结果是一个平均值为$X = {\mu P P_s \over P_e}$的泊松分布，其中$\mu$为平均气体密度，$ P_s$为附着概率，$P_e$为时间间隔$\tau$内的蒸发概率，$P$为所讨论表面上时间间隔$\tau$内的斯莫卢霍夫斯基逸出概率。 然后我们使用平均场近似求解有限数量附着位点的情况，在这种情况下恢复了朗格缪尔等温线。 显示英文摘要

摘要： We evaluate the exact equilibrium distribution of gas molecules adsorbed on an active surface with an infinite number of attachment sites. Our result is a Poisson distribution having mean $X = {\mu P P_s \over P_e}$, with $\mu$ the mean gas density, $ P_s$ the sticking probability, $P_e$ the evaporation probability in a time interval $\tau$, and $P$ Smoluchowski's exit probability in time interval $\tau$ for the surface in question. We then solve for the case of a finite number of attachment sites using the mean field approximation, recovering in this case the Langmuir isotherm.