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Title
Elasticity of Flexible Polymers under Cylindrical Confinement: Appreciating the Blob Scaling Regime in Computer Simulations
Author(s)
김주인정영균
Publication Year
2013-04-22
Abstract
Despite much renewed interest in cylindrically confined polymers with linear or nonlinear topology, often considered as model chromosomes, their scaling predictions, especially on chain elasticity and relaxation, have not been reconciled with numerical data. Of particular interest is their “effective spring constant” given in the scaling form of keff ∼ N−αD−γ, where N is the number of monomers and D the diameter of the cylindrical space. If the blob-scaling approach produces α = 1 and γ = 2 − 1/ν = 1/3 with ν = 3/5 the Flory exponent, a series of numerical studies indicate α ≈ 0.75 and unexpectedly large γ ≈ 0.9. Using computer simulations, we show that there exists a crossover from the formerly called unexpected to blob-scaling regime at a certain value of D ≈ 10 (in units of monomer sizes) for sufficiently large N (>Ncr). Our results suggest that Ncr ≈ 1000, if the farthermost distance is used as the chain size: a quantity relevant in single-chain manipulations or for ring polymers (e.g., bacterial chromosomes). Accordingly, chain relaxation dynamics is expected to show a similar crossover. Our results imply that the applicability of the blob scaling approach depends on how confined chains are characterized.
Keyword
Polymer; Molecular Dynamics; Bacterial DNA
Journal Title
Soft Matter
ISSN
1744-683X
DOI
10.1039/C3SM50742D
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Appears in Collections:
7. KISTI 연구성과 > 학술지 발표논문
URI
https://repository.kisti.re.kr/handle/10580/14137
http://www.ndsl.kr/ndsl/search/detail/article/articleSearchResultDetail.do?cn=NART66266130
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