摘要翻译：
利用传递矩阵方法，我们研究了含有m$单体的柔性链的熵的渐近性态。在单体密度较高的极限下，我们研究了熵随单体密度和条带宽度的变化规律，这是受最近对二聚体(m=2)特殊情况下这一问题的分析研究的启发。我们得到了在高密度渐近区域中，对于$m=2,…,9$单体的链的熵，以及对于聚合物的特殊情况，即$m\to\infty$的熵，并发现结果显示了类似于对二聚体的解析结果的规律性。我们还验证了在低密度极限下，熵的平均场表达式后面是我们的转移矩阵计算结果。
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英文标题：
《Asymptotic behavior of the entropy of chains placed on stripes》
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作者：
W.G. Dantas, M.J. de Oliveira, J.F.Stilck
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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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英文摘要：
  By using the transfer matrix approach, we investigate the asymptotic behavior of the entropy of flexible chains with $M$ monomers each placed on stripes. In the limit of high density of monomers, we study the behavior of the entropy as a function of the density of monomers and the width of the stripe, inspired by recent analytical studies of this problem for the particular case of dimers (M=2). We obtain the entropy in the asymptotic regime of high densities for chains with $M=2,..,9$ monomers, as well as for the special case of polymers, where $M\to\infty$, and find that the results show a regular behavior similar to the one found analytically for dimers. We also verify that in the low-density limit the mean-field expression for the entropy is followed by the results from our transfer matrix calculations.
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PDF链接：
https://arxiv.org/pdf/706.3914