论文标题
晶格不均匀性对半模型isaw聚合物塌陷阶段的影响
Effect of lattice inhomogeneity on collapsed phases of semi-stiff ISAW polymers
论文作者
论文摘要
我们调查了具有随机杂质的正方形晶格上的半模型相互作用的步行。使用Flatperm算法对步行进行模拟，并将不均匀性视为步行不可用的晶格的随机部分。我们计算了几个热力学和度量量，以绘制相图，并研究疾病量如何影响每个阶段的性质。在均匀的晶格上，该模型具有延长的相位，并且两个不同的塌陷相，球状和晶体，在步行的各向异性上有所不同。通过在晶格中添加杂质，我们注意到所有阶段的步行肿胀程度与已移除的晶格的一部分相称。重要的是，晶体相消失，增加了足够长的杂质。对于有限的长度步行，我们证明，平均空间的尺寸没有杂质的竞争与崩溃的聚合物的大小描述了均匀的晶格与杂质占主导地位之间的交叉。
We investigate semi-stiff interacting self-avoiding walks on the square lattice with random impurities. The walks are simulated using the flatPERM algorithm and the inhomogeneity is realised as a random fraction of the lattice that is unavailable to the walks. We calculate several thermodynamic and metric quantities to map out the phase diagram and look at how the amount of disorder affects the properties of each phase. On a homogeneous lattice this model has an extended phase and two distinct collapsed phases, globular and crystalline, which differ in the anisotropy of the walks. By adding impurities to the lattice we notice a degree of swelling of the walks for all phases that is commensurate with the fraction of the lattice that is removed. Importantly, the crystal phase disappears with the addition of impurities for sufficiently long walks. For finite length walks we demonstrate that competition between the size of the average spaces free of impurities and the size of the collapsed polymer describes the crossover between the homogeneous lattice and the impurity dominated situation.
