arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0805.3471cond-mat.softcond-mat.stat-mech
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无规位面上的平衡吸附

Equilibrium adsorption on a random site surface

J. Talbot, G. Tarjus, P. Viot

摘要:

我们研究了球形溶质在随机位点表面上的可逆吸附,其中吸附位点均匀且随机地分布在基底上。每个位点可以被一种溶质占据,条件是最近的被占据位点在至少一个直径之外。该模型的特点是网站密度和体相活性的吸附质。我们开发了一个一般的统计力学模型的描述,我们得到的吸附等温线在大,小的活动和网站密度的限制情况下,特别是一维版本的模型的精确表达式。我们还提出了近似等温线,插值之间的确切结果。这些理论与二维模型的数值模拟结果吻合较好。

英文摘要:

We examine the reversible adsorption of spherical solutes on a random site surface in which the adsorption sites are uniformly and randomly distributed on a substrate. Each site can be occupied by one solute provided that the nearest occupied site is at least one diameter away. The model is characterized by the site density and the bulk phase activity of the adsorbate. We develop a general statistical mechanical description of the model and we obtain exact expressions for the adsorption isotherms in limiting cases of large and small activity and site density, particularly for the one dimensional version of the model. We also propose approximate isotherms that interpolate between the exact results. These theories are in good agreement with numerical simulations of the model in two dimensions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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