The equilibrium properties of a finite-length linear polymer chain confined in an infinite wedge composed of two perfectly reflecting hard walls meeting at a variable apex angle ($\alpha$) are presented. One end of the polymer is anchored a distance $y$ from the apex on the conical axis of symmetry, while the other end is free. We report here, the nonmonotonic behavior of $\theta$ temperature as a function of $y$ for a finite-length chain. Data collapse for different chain lengths indicates that such behavior will exist for all finite lengths. We delineate the origin of such nonmonotonic behavior, which may have potential applications in understanding the cellular process occurring in nanoconfined geometries.

中文翻译：

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楔形封闭中的聚合物：对θ温度的影响

有限长度的线性聚合物链的平衡性质限制在无限楔形中，该楔形由两个以不同顶角相交的完美反射的硬壁组成（$\alpha$）。聚合物的一端锚定一段距离$ÿ$从圆锥对称轴的顶点开始，而另一端是自由的。我们在这里报告的非单调行为$\theta$ 温度与 $ÿ$用于有限长度的链。不同链长的数据崩溃表明这种行为将在所有有限长度中都存在。我们描述了这种非单调行为的起源，这可能在理解纳米受限几何中发生的细胞过程中具有潜在的应用。