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arXiv 0906.1472q-bio.BMcond-mat.dis-nnq-bio.GN
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RNA冻结相变的场论

Field Theory of the RNA Freezing Transition

Francois David, Kay Joerg Wiese

摘要:

RNA的折叠受制于高温下相关的熵与决定低温相的随机或随机序列之间的竞争。从数值模拟可知,对于随机序列和生物序列,高温相和低温相是不同的,例如,描述两个碱基之间配对概率的指数rho在高温相为rho = 3/2,在低温(玻璃)相中约为4/3。在这里,我们提出,随机序列,一个领域理论的相变分离的高温和低温阶段。我们建立后者的存在表明,基本理论是重正化的所有订单微扰理论。我们测试这个结果通过一个明确的2-循环计算,产生rho约1.36的过渡,以及其他不同的临界指数,包括对施加外力(变性过渡)的反应。

英文摘要:

Folding of RNA is subject to a competition between entropy, relevant at high temperatures, and the random, or random looking, sequence, determining the low- temperature phase. It is known from numerical simulations that for random as well as biological sequences, high- and low-temperature phases are different, e.g. the exponent rho describing the pairing probability between two bases is rho = 3/2 in the high-temperature phase, and approximatively 4/3 in the low-temperature (glass) phase. Here, we present, for random sequences, a field theory of the phase transition separating high- and low-temperature phases. We establish the existence of the latter by showing that the underlying theory is renormalizable to all orders in perturbation theory. We test this result via an explicit 2-loop calculation, which yields rho approximatively 1.36 at the transition, as well as diverse other critical exponents, including the response to an applied external force (denaturation transition).

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