Behavior of random RNA secondary structures near the glass transition

Behavior of random RNA secondary structures near the glass transition
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DOI:
10.1103/physreve.99.022415
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发表时间:
2019-02-20
期刊:
影响因子:
2.4
通讯作者:
Bundschuh, Ralf
Bundschuh, Ralf
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Baez, William D.;Wiese, Kay Jorg;Bundschuh, Ralf

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RNA通过分子内碱基配对形成精细的二级结构。这些结构在每个细胞内执行关键的生物学功能。由于可用多项式算法来计算这些结构上的配分函数,它们也是无序系统的统计物理学的合适系统。在这个模型中,低于变性温度,随机RNA二级结构存在于两个阶段之一:一个强烈无序,低温玻璃相和弱无序,高温熔融相。两个碱基配对的概率随它们的距离衰减,在熔融相中指数为3/2,在玻璃相中约为4/3。从玻璃化转变分离的两相的重整化场理论以前的结果的启发,我们数值研究这种转变。我们引入不同的顺序参数为每个阶段都消失在临界点。最后,我们探讨了这种转变背后的驱动机制。
RNA forms elaborate secondary structures through intramolecular base pairing. These structures perform critical biological functions within each cell. Due to the availability of a polynomial algorithm to calculate the partition function over these structures, they are also a suitable system for the statistical physics of disordered systems. In this model, below the denaturation temperature, random RNA secondary structures exist in one of two phases: a strongly disordered, low-temperature glass phase and a weakly disordered, high-temperature molten phase. The probability of two bases to pair decays with their distance with an exponent 3/2 in the molten phase and about 4/3 in the glass phase. Inspired by previous results from a renormalized field theory of the glass transition separating the two phases, we numerically study this transition. We introduce distinct order parameters for each phase that both vanish at the critical point. We finally explore the driving mechanism behind this transition.