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摘要翻译：
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部分位上。通过与所有吸附位点都可用于吸附的纯体系的比较，我们发现，当活度达到无穷大时，该模型与相同密度下的纯体系之间存在映射关系。通过对磁化率的考察，我们证明了在有限活度下不存在映射。然而，当场地密度较小或中等时，这种映射存在于场地密度的二级。我们还提出并评价了可应用于未知分析结果的系统的近似方法。
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英文标题：
《An exactly solvable model of reversible adsorption on a disordered
substrate》
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作者：
J. Talbot, G. Tarjus and P. Viot
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Soft Condensed Matter 软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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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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PDF链接：
https://arxiv.org/pdf/708.168
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