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摘要翻译：
RNA分子分支结构的稳定性是其功能发挥的重要条件。在这封信中，我们证明了对于基态具有Cayley树分支几何结构且配对相互作用用Go模型描述的分子，RNA分子的熔融热力学对其分支几何结构非常敏感。线性几何结构的RNA分子通过经典指数的传统连续相变熔化，而Cayley树几何结构的分子被发现具有光滑的自由能，至少在我们的精度范围内是这样。然而，我们用解析的方法证明，在有序结构的稳定极限处，自由能实际上存在一个数学奇点。相关长度似乎在这个奇点的高温侧发散。
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英文标题：
《Melting of Branched RNA Molecules》
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作者：
Ralf Bundschuh and Robijn Bruinsma
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最新提交年份：
2007
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分类信息：
一级分类：Quantitative Biology 数量生物学
二级分类：Biomolecules 生物分子
分类描述：DNA, RNA, proteins, lipids, etc.; molecular structures and folding kinetics; molecular interactions; single-molecule manipulation.
DNA、RNA、蛋白质、脂类等；分子结构与折叠动力学；分子相互作用；单分子操作。
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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：
Stability of the branching structure of an RNA molecule is an important condition for its function. In this letter we show that the melting thermodynamics of RNA molecules is very sensitive to their branching geometry for the case of a molecule whose groundstate has the branching geometry of a Cayley Tree and whose pairing interactions are described by the Go model. Whereas RNA molecules with a linear geometry melt via a conventional continuous phase transition with classical exponents, molecules with a Cayley Tree geometry are found to have a free energy that seems smooth, at least within our precision. Yet, we show analytically that this free energy in fact has a mathematical singularity at the stability limit of the ordered structure. The correlation length appears to diverge on the high-temperature side of this singularity.
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PDF链接：
https://arxiv.org/pdf/708.0527
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