两种无规杂聚合物的解压缩：基态能量和有限 尺寸效应

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摘要翻译：
我们分析了在一级序列均匀分布的链系综中，两个具有猝灭序列的无规杂聚合物复合物的平均单体基态能量$E$与链长$N$的关系。每一个链单体都是随机和独立地，以均匀的概率分布$P=1/C$从一组$C$不同类型的a,B,C,D,....第一链的单体可以与第二链的单体形成饱和可逆键。相似单体类型（如A-A、B-B、C-C等）之间的键具有吸引能$U$,而不同单体类型（如A-B、A-D、B-D等）之间的键具有吸引能$V$。在足够低的温度下，当链的配分函数由基态控制时，环形成的熵贡献相对于链单体之间的直接能量相互作用来说可以忽略不计时，对于中间链长，$n$和不同比例，$a=\frac{v}{u}$的归一化自由能$e(n)$的计算是主要的。所进行的分析使人们能够得到解压缩两个等长的无规杂聚合物链所必需的力$F$，其末端间隔距离$X$，在所有等分布的一级结构上在低温下的平均值为固定值$A$和$C$。
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英文标题：
《Unzipping of two random heteropolymers: Ground state energy and finite
  size effects》
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作者：
M.V. Tamm, S.K. Nechaev
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最新提交年份：
2008
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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：
  We have analyzed the dependence of average ground state energy per monomer, $e$, of the complex of two random heteropolymers with quenched sequences, on chain length, $n$, in the ensemble of chains with uniform distribution of primary sequences. Every chain monomer is randomly and independently chosen with the uniform probability distribution $p=1/c$ from a set of $c$ different types A, B, C, D, .... Monomers of the first chain could form saturating reversible bonds with monomers of the second chain. The bonds between similar monomer types (like A--A, B--B, C--C, etc.) have the attraction energy $u$, while the bonds between different monomer types (like A--B, A--D, B--D, etc.) have the attraction energy $v$. The main attention is paid to the computation of the normalized free energy $e(n)$ for intermediate chain lengths, $n$, and different ratios $a=\frac{v}{u}$ at sufficiently low temperatures when the entropic contribution of the loop formation is negligible compared to direct energetic interactions between chain monomers and the partition function of the chains is dominated by the ground state. The performed analysis allows one to derive the force, $f$, which is necessary to apply for unzipping of two random heteropolymer chains of equal lengths whose ends are separated by the distance $x$, averaged over all equally distributed primary structures at low temperatures for fixed values $a$ and $c$.
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PDF链接：
https://arxiv.org/pdf/710.4332

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关键词：聚合物 distribution interactions intermediate Contribution 聚合物 heteropolymers 低温 chain 分析