无序基底上可逆吸附的精确可解模型
An exactly solvable model of reversible adsorption on a disordered substrate
摘要：
我们考虑二聚体在规则晶格上的可逆吸附，其中吸附发生在随机选择的有限分数的位点上。通过比较这个系统的纯系统中的所有网站都可用于吸附，我们表明，当活动走向无穷大，存在着这个模型和纯系统在相同的密度之间的映射。通过研究的可映射性，我们证明了在有限的活动没有映射。然而，当站点密度是小的或中等的，这种映射存在的站点密度的二阶。我们还提出和评估的近似方法，可应用于系统中没有分析结果是已知的。
英文摘要：
We consider the reversible adsorption of dimers on a regular lattice, where adsorption occurs on a finite fraction of sites selected randomly. By comparing this system to the pure system where all sites are available for adsorption, we show that when the activity goes to infinity, there exists a mapping between this model and the pure system at the same density. By examining the susceptibilities, we demonstrate that there is no mapping at finite activity. However, when the site density is small or moderate, this mapping exists up to second order in site density. We also propose and evaluate approximate approaches that may be applied to systems where no analytic result is known.
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