Confined space and effective interactions of multiple self-avoiding chains

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dc.creatorJun, Suckjoon
dc.creatorArnold, Axel
dc.creatorHa, Bae-Yeun
dc.date2007-02-10
dc.date.accessioned2026-07-07T07:46:24Z
dc.date.available2026-07-07T07:46:24Z
dc.descriptionWe 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 semi-dilute solutions. Our main result is that the free energy for overlapping $n$ chains is \emph{independent} of chain length and scales as $n^{9/4}$, slowly crossing over to $n^3$, 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, \emph{global} reorganization of eukaryotic chromosomes in a large cell nucleus could be readily achieved.
dc.descriptionto appear in Physical Review Letters
dc.identifierhttps://arxiv.org/abs/physics/0702084
dc.identifierhttp://arxiv.org/abs/physics/0702084
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123815
dc.subjectBiological Physics
dc.subjectSoft Condensed Matter
dc.titleConfined space and effective interactions of multiple self-avoiding chains
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