dorsal/arxiv
View SchemaConfined space and effective interactions of multiple self-avoiding chains
| Authors | Suckjoon Jun, Axel Arnold, Bae-Yeun Ha |
|---|---|
| Categories | |
| ArXiv ID | physics/0702084 |
| URL | https://arxiv.org/abs/physics/0702084 |
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 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.
{
"annotation_id": "215bd5e6-e8ff-4c2f-bd94-36a60d03e240",
"date_created": "2026-03-02T18:01:18.484000Z",
"date_modified": "2026-03-02T18:01:18.484000Z",
"file_hash": "a948286e83e757c0c3f6e8c18f5601dfccf792627f753d9724a5f655b60dd460",
"private": false,
"record": {
"abstract": "We study the link between three seeming-disparate cases of self-avoiding\npolymers: strongly overlapping multiple chains in dilute solution, chains under\nspherical confinement, and the onset of semi-dilute solutions. Our main result\nis that the free energy for overlapping $n$ chains is \\emph{independent} of\nchain length and scales as $n^{9/4}$, slowly crossing over to $n^3$, as $n$\nincreases. For strongly confined polymers inside a spherical cavity, we show\nthat rearranging the chains does not cost an additional free energy. Our\nresults imply that, during cell cycle, \\emph{global} reorganization of\neukaryotic chromosomes in a large cell nucleus could be readily achieved.",
"arxiv_id": "physics/0702084",
"authors": [
"Suckjoon Jun",
"Axel Arnold",
"Bae-Yeun Ha"
],
"categories": [
"physics.bio-ph",
"cond-mat.soft"
],
"title": "Confined space and effective interactions of multiple self-avoiding chains",
"url": "https://arxiv.org/abs/physics/0702084"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6d5f3128-f8a5-46a6-a656-61a9086b9be7",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}