Skip to main content
Entropy logoLink to Entropy
. 2022 Mar 16;24(3):413. doi: 10.3390/e24030413

Correction: Halun et al. Investigation of Ring and Star Polymers in Confined Geometries: Theory and Simulations. Entropy 2021, 23, 242

Joanna Halun 1,*, Pawel Karbowniczek 2, Piotr Kuterba 3, Zoriana Danel 2,†
PMCID: PMC8947716  PMID: 35327944

The authors wish to make the following correction to this paper [1]. In our paper [1] are a few errors:

  1. On page 8 symbol ‘cc’ before <ρλ(DD)(z˜)> in the Equation (19) should be removed and looks like:
    <ρλ(DD)(z˜)>=(2Rg)1/νL0IL∫0LdzG(;z,z˜)G(;z˜,z)IL∫0LdzG(;z,z)≈2z˜1/νL(1+π2y+π4y2+π3/28y3+O(e−4y2)) (19)
  2. On page 12 symbol ‘cc’ before <ρλ(DD)(z˜)>l in the Equation (25) should be removed and looks like:
    <ρλ(DD)(z˜)>l=Bz˜1/νL(1+8aπR˜([erfc[a2Rx]−Rxa2πe−a22Rx2]−2[erfc[2aRx]−Rxa2πe−2a2Rx2])) (25)
  3. On page 16 symbol ‘cc’ before <ρλ(DD)(z˜)>st in the Equation (44) should be removed and looks like:
    <ρλ(DD)(z˜)>st=Bz˜1/νL(1−25πR˜a[(61Rx7a+1584175aRx)e−4a25Rx2−(155Rx7a+10,272175aRx)e−16a25Rx2]) (44)
  4. On page 21 Appendix B symbol ‘ccccc’ before G˜‖(p;z,z′;μ0,c10,c20,L) in the Equation (A5) should be removed and looks like:
    G˜‖(p;z,z′;μ0,c10,c20,L)=12κ0((κ02+κ0(c10+c20)+c10c20)eκ0L−(κ02−κ0(c10+c20)+c10c20)e−κ0L)−1((κ02+κ0(c10+c20)+c10c20)eκ0(L−|z−z′|)+(κ02−κ0(c10+c20)+c10c20)e−κ0(L−|z−z′|)+(κ02+κ0(c20−c10)−c10c20)eκ0(L−z−z′)+(κ02−κ0(c20−c10)−c10c20)e−κ0(L−z−z′)) (A5)
  5. On page 22 Appendix C symbol ‘cc’ before <ρλ(DN)(z˜)> in the Equation (A8) should be removed and looks like:
    <ρλ(DN)(z˜)>=(2Rg)1/νL0IL∫0LdzG(;z,z˜)G(;z˜,z)IL∫0LdzG(;z,z)≈2z˜1/νL+z˜y2(e−4y2−e−16y2)(1−2e−4y2+2e−16y2) (A8)

The changes do not influence substantive meaning and the obtained scientific results. The original article has been updated.

Footnotes

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Reference

  • 1.Halun J., Karbowniczek P., Kuterba P., Danel Z. Investigation of ring and star polymers in confined geometries: Theory and simulations. Entropy. 2021;23:242. doi: 10.3390/e23020242. [DOI] [PMC free article] [PubMed] [Google Scholar]

Articles from Entropy are provided here courtesy of Multidisciplinary Digital Publishing Institute (MDPI)

RESOURCES