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摘要翻译：
我们在波兰Scheraga模型的基础上研究了双链DNA中变性气泡的动力学。我们证明了DNA气泡存活的长时间分布和大小自相关函数可以由渐近弱噪声方法得到。特别地，在熔化温度以下，气泡闭合对应于一个有噪声的有限时间奇点。我们证明了相关的Fokker-Planck方程等价于量子库仑问题。在熔化温度以下，气泡寿命与排斥库仑势的连续散射态有关；在熔化温度下，库仑势消失，第一出口动力学表现出长时间幂律尾；在熔化温度以上，对应一个吸引库仑势，长时间动力学由最低束缚态控制。讨论了相关和有限尺寸效应。
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英文标题：
《Dynamics of DNA-breathing: Weak noise analysis, finite time singularity,
and mapping onto the quantum Coulomb problem》
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作者：
Hans C. Fogedby and Ralf Metzler
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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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一级分类：Physics 物理学
二级分类：Soft Condensed Matter 软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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英文摘要：
We study the dynamics of denaturation bubbles in double-stranded DNA on the basis of the Poland-Scheraga model. We show that long time distributions for the survival of DNA bubbles and the size autocorrelation function can be derived from an asymptotic weak noise approach. In particular, below the melting temperature the bubble closure corresponds to a noisy finite time singularity. We demonstrate that the associated Fokker-Planck equation is equivalent to a quantum Coulomb problem. Below the melting temperature the bubble lifetime is associated with the continuum of scattering states of the repulsive Coulomb potential; at the melting temperature the Coulomb potential vanishes and the underlying first exit dynamics exhibits a long time power law tail; above the melting temperature, corresponding to an attractive Coulomb potential, the long time dynamics is controlled by the lowest bound state. Correlations and finite size effects are discussed.
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PDF链接：
https://arxiv.org/pdf/706.4401
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