聚合物在受限空间中的分离
Segregation of Polymers in Confined Spaces
摘要:
我们研究了两个重叠聚合物在一个狭窄的二维盒子中的自回避运动。使用斑点自由能参数的统计模型。我们发现自发分离的条件下:$L > R_{//}$,和混合下的$L < R_{//}$,其中L是盒子的长度,和$R_{//}$聚合物在一个无限的狭缝延伸。通过求解平均首次通过时间问题和进行蒙特卡罗模拟来确定分离时间尺度。两种方法的预测结果吻合较好。我们的研究结果可能阐明了细菌染色体分离的驱动力。
英文摘要:
We investigate the motion of two overlapping polymers with self-avoidance confined in a narrow 2d box. A statistical model is constructed using blob free-energy arguments. We find spontaneous segregation under the condition: $L > R_{//}$, and mixing under $L < R_{//}$, where L is the length of the box, and $R_{//}$ the polymer extension in an infinite slit. Segregation time scales are determined by solving a mean first-passage time problem, and by performing Monte Carlo simulations. Predictions of the two methods show good agreement. Our results may elucidate a driving force for chromosomes segregation in bacteria.
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