2015
DOI: 10.1063/1.4906556
|View full text |Cite
|
Sign up to set email alerts
|

Interactions between ring polymers in dilute solution studied by Monte Carlo simulation

Abstract: The second virial coefficient, A2, for trivial-ring polymers in dilute condition was estimated from a Metropolis Monte Carlo (MC) simulation, and the temperature dependence of A2 has been discussed with their Flory's scaling exponent, ν, in Rg ∝ N(ν), where Rg is radius of gyration of a polymer molecule. A limited but not too small number of polymer molecules were employed in the simulation, and the A2 values at various temperatures were calculated from the molecular density fluctuation in the solution. In the… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

0
5
0
1

Year Published

2016
2016
2023
2023

Publication Types

Select...
8

Relationship

2
6

Authors

Journals

citations
Cited by 8 publications
(6 citation statements)
references
References 24 publications
(35 reference statements)
0
5
0
1
Order By: Relevance
“…The simulation algorithm used in this paper, Metropolis MC simulation, is the same as those treated in the previous papers. [31,32] A polymer molecule consists of beads and bonds, and each bead bearing excluded volume is placed on a lattice point of a face-centered cubic (FCC) lattice. 3D periodic condition is defined on the lattice.…”
Section: 34 Archimedean Tiling Which Is Composed Of Imaginary Regumentioning
confidence: 99%
“…The simulation algorithm used in this paper, Metropolis MC simulation, is the same as those treated in the previous papers. [31,32] A polymer molecule consists of beads and bonds, and each bead bearing excluded volume is placed on a lattice point of a face-centered cubic (FCC) lattice. 3D periodic condition is defined on the lattice.…”
Section: 34 Archimedean Tiling Which Is Composed Of Imaginary Regumentioning
confidence: 99%
“…The ring polymer is formed by the simple operation of joining together the two ends of a linear polymer chain. Topological constraints have a dramatic effect on the properties of ring chains compared with their linear counterparts due to the decrease in the conformational degrees of freedom [9][10][11]. The most prominent examples are their different scaling behaviour [12][13][14][15][16][17][18][19][20] and rheological properties [21,22].…”
Section: Introductionmentioning
confidence: 99%
“…Lee and Jung [103] used lattice Monte Carlo simulations to study the connection between slow diffusional processes in melts of polymer rings and topological constraints associated with threading events between different ring molecules. Monte Carlo simulations on a face-centered-cubic lattice were employed by Suzuki and collaborators in a series of papers [104][105][106][107][108] to study: (a) the size and conformation of non-concatenated polymer rings in the melt state [104], (b) molecular conformations of trivial, 3 1knot, and 5 1 -knot ring polymers at their theta points [105,106], (c) the temperature dependence of the second virial coefficient of ring polymers [107], and (d) the size and conformation of catenated ring polymers in dilute solution, over a wide range of chain lengths [108].…”
Section: Polymer Rings and Knotsmentioning
confidence: 99%