English

Segregation of Polymers in Confined Spaces

Biological Physics 2012-11-20 v2 Soft Condensed Matter

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: L>R//L > R_{//}, and mixing under L<R//L < R_{//}, where L is the length of the box, and R//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.

Keywords

Cite

@article{arxiv.0906.4023,
  title  = {Segregation of Polymers in Confined Spaces},
  author = {Ya Liu and Bulbul Chakraborty},
  journal= {arXiv preprint arXiv:0906.4023},
  year   = {2012}
}