Confined space and effective interactions of multiple self-avoiding chains |
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Authors: | Jun Suckjoon Arnold Axel Ha Bae-Yeun |
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Affiliation: | FOM-Institute AMOLF, Kruislaan 407, 1098 SJ Amsterdam, The Netherlands. suckjoon.jun@necker.fr |
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Abstract: | We study the link between three seeming-disparate cases of self-avoiding polymers: strongly overlapping multiple chains in dilute solution, chains under spherical confinement, and the onset of semidilute solutions. Our main result is that the free energy for overlapping n chains is independent of chain length and scales as n9/4, slowly crossing over to n3, as n increases. For strongly confined polymers inside a spherical cavity, we show that rearranging the chains does not cost an additional free energy. Our results imply that, during cell cycle, global reorganization of eukaryotic chromosomes in a large cell nucleus could be readily achieved. |
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