囊泡对表面施加的压力
Pressure exerted by a vesicle on a surface
摘要：
最近的几项工作考虑了模型聚合物施加在壁面上的压力。我们将这种考虑扩展到附着在壁上的囊泡，因此包括渗透压。我们这样做，考虑一个二维的有向模型，即面积加权戴克路径。毫不奇怪，囊泡对囊壁施加的压力取决于囊泡内部的渗透压，尤其是渗透压的符号。在这里，我们讨论了这种压力在不同的制度，特别注意正负渗透压之间的交叉缩放。在我们的定向模型中，存在一个潜在的艾里函数标度形式，从中我们提取的体积压力对小渗透压的依赖性。
英文摘要：
Several recent works have considered the pressure exerted on a wall by a model polymer. We extend this consideration to vesicles attached to a wall, and hence include osmotic pressure. We do this by considering a two-dimensional directed model, namely that of area-weighted Dyck paths. Not surprisingly, the pressure exerted by the vesicle on the wall depends on the osmotic pressure inside, especially its sign. Here, we discuss the scaling of this pressure in the different regimes, paying particular attention to the crossover between positive and negative osmotic pressure. In our directed model, there exists an underlying Airy function scaling form, from which we extract the dependence of the bulk pressure on small osmotic pressures.
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