2014
DOI: 10.1002/polb.23562
|View full text |Cite
|
Sign up to set email alerts
|

Self-entanglement of a single polymer chain confined in a cubic box

Abstract: We study the self‐entanglement of a single linear polymer chain with N monomers confined to a cubic box (L × L × L) using the bond‐fluctuation lattice model and primitive path analysis. We probe chains with N between 30 and 750 and vary the degree of confinement L/Rg0 between 0.4 and 12, where Rg0 is the radius of gyration of an unconfined polymer. We find that the conformational properties Rg/Rg0 and Lp/Rg0, where Lp is the average primitive path length, collapse onto a single master curve as a function of th… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

0
8
0

Year Published

2015
2015
2023
2023

Publication Types

Select...
5

Relationship

2
3

Authors

Journals

citations
Cited by 5 publications
(8 citation statements)
references
References 42 publications
0
8
0
Order By: Relevance
“…The details of these systems are presented in Table 1. In the bond-fluctuation model, at sans-serifρ=0.5, the average number of monomers per entanglement segment is Ne30 [59,60,61]. In symmetric blends, Nnormalr = Nnormall = 300 was held fixed, while the linear fraction sans-serifϕnormall = nlNl/(nnormallNnormall+nnormalrNnormalr) was varied between 0 and 1.…”
Section: Methodsmentioning
confidence: 99%
“…The details of these systems are presented in Table 1. In the bond-fluctuation model, at sans-serifρ=0.5, the average number of monomers per entanglement segment is Ne30 [59,60,61]. In symmetric blends, Nnormalr = Nnormall = 300 was held fixed, while the linear fraction sans-serifϕnormall = nlNl/(nnormallNnormall+nnormalrNnormalr) was varied between 0 and 1.…”
Section: Methodsmentioning
confidence: 99%
“…Figure plots the variation of the squared radius of gyration R 2 of the polymer chain with N monomers, inserted in a matrix with fractional lattice occupancy ρ . The R 2 of chains in an equilibrated melt, with ρ=0.5, and isolated athermal chains are also shown on the plot, for context. The chains in the melt exhibit a scaling expected for random walks, R2N, as depicted by corresponding best‐fit equation, Rmelt2(N)=0.4(N1)1.02.…”
Section: Resultsmentioning
confidence: 99%
“…We use the bond‐fluctuation model (BFM) to represent both the matrix and the chain on a simple cubic lattice with periodic boundaries . We initially insert and equilibrate matrix chains in the box.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…The obtained results were successfully compared with the ones from the EE method and RG theory. In a very recent work, SAWs confined in a cubic box were simulated using the bond‐fluctuation lattice model to study some chain conformational properties, such as the radius of gyration and the degree of entanglement of the system, but no calculations about entropies were performed.…”
Section: Introductionmentioning
confidence: 99%