Segregation of Polymers in Confined Spaces
Ya Liu, Bulbul Chakraborty
TL;DR
This paper studies how two polymers behave in confined spaces, revealing conditions for their segregation or mixing, and providing insights into chromosome segregation in bacteria through statistical modeling and simulations.
Contribution
It introduces a statistical model for polymer behavior in confined spaces and compares analytical predictions with Monte Carlo simulations, highlighting segregation conditions.
Findings
Segregation occurs when L > R_{//}
Mixing occurs when L < R_{//}
Model predictions agree with simulations
Abstract
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: , and mixing under , where L is the length of the box, and 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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