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Correction

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

1
Institute of Nuclear Physics, Polish Academy of Sciences, 31-342 Cracow, Poland
2
Institute of Physics, Cracow University of Technology, 30-084 Cracow, Poland
3
Faculty of Physics, Astronomy and Applied Computer Sciences, Jagiellonian University in Cracow, 30-348 Cracow, Poland
*
Author to whom correspondence should be addressed.
Former name: Zoryana Usatenko.
Entropy 2022, 24(3), 413; https://doi.org/10.3390/e24030413
Submission received: 22 February 2022 / Accepted: 4 March 2022 / Published: 16 March 2022
The authors wish to make the following correction to this paper [1]. In our paper [1] are a few errors:
  • On page 8 symbol ‘ c c ’ before < ρ λ ( D D ) ( z ˜ ) > in the Equation (19) should be removed and looks like:
    < ρ λ ( D D ) ( z ˜ ) > = ( 2 R g ) 1 / ν L 0 IL 0 L d z G ( ; z , z ˜ ) G ( ; z ˜ , z ) IL 0 L d z G ( ; z , z ) 2 z ˜ 1 / ν L ( 1 + π 2 y + π 4 y 2 + π 3 / 2 8 y 3 + O ( e 4 y 2 ) )
  • On page 12 symbol ‘ c c ’ before < ρ λ ( D D ) ( z ˜ ) > l in the Equation (25) should be removed and looks like:
    < ρ λ ( D D ) ( z ˜ ) > l = B z ˜ 1 / ν L ( 1 + 8 a π R ˜ ( [ e r f c [ a 2 R x ] R x a 2 π e a 2 2 R x 2 ] 2 [ e r f c [ 2 a R x ] R x a 2 π e 2 a 2 R x 2 ] ) )
  • On page 16 symbol ‘ c c ’ before < ρ λ ( D D ) ( z ˜ ) > s t in the Equation (44) should be removed and looks like:
    < ρ λ ( D D ) ( z ˜ ) > s t = B z ˜ 1 / ν L ( 1 2 5 π R ˜ a [ ( 61 R x 7 a + 1584 175 a R x ) e 4 a 2 5 R x 2 ( 155 R x 7 a + 10,272 175 a R x ) e 16 a 2 5 R x 2 ] )
  • On page 21 Appendix B symbol ‘ c c c c c ’ before G ˜ ( p ; z , z ; μ 0 , c 1 0 , c 2 0 , L ) in the Equation (A5) should be removed and looks like:
    G ˜ ( p ; z , z ; μ 0 , c 1 0 , c 2 0 , L ) = 1 2 κ 0 ( ( κ 0 2 + κ 0 ( c 1 0 + c 2 0 ) + c 1 0 c 2 0 ) e κ 0 L ( κ 0 2 κ 0 ( c 1 0 + c 2 0 ) + c 1 0 c 2 0 ) e κ 0 L ) 1 ( ( κ 0 2 + κ 0 ( c 1 0 + c 2 0 ) + c 1 0 c 2 0 ) e κ 0 ( L | z z | ) + ( κ 0 2 κ 0 ( c 1 0 + c 2 0 ) + c 1 0 c 2 0 ) e κ 0 ( L | z z | ) + ( κ 0 2 + κ 0 ( c 2 0 c 1 0 ) c 1 0 c 2 0 ) e κ 0 ( L z z ) + ( κ 0 2 κ 0 ( c 2 0 c 1 0 ) c 1 0 c 2 0 ) e κ 0 ( L z z ) )
  • On page 22 Appendix C symbol ‘ c c ’ before < ρ λ ( D N ) ( z ˜ ) > in the Equation (A8) should be removed and looks like:
    < ρ λ ( D N ) ( z ˜ ) > = ( 2 R g ) 1 / ν L 0 IL 0 L d z G ( ; z , z ˜ ) G ( ; z ˜ , z ) IL 0 L d z G ( ; z , z ) 2 z ˜ 1 / ν L + z ˜ y 2 ( e 4 y 2 e 16 y 2 ) ( 1 2 e 4 y 2 + 2 e 16 y 2 )
The changes do not influence substantive meaning and the obtained scientific results. The original article has been updated.

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. [Google Scholar] [CrossRef] [PubMed]
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MDPI and ACS Style

Halun, J.; Karbowniczek, P.; Kuterba, P.; Danel, Z. Correction: Halun et al. Investigation of Ring and Star Polymers in Confined Geometries: Theory and Simulations. Entropy 2021, 23, 242. Entropy 2022, 24, 413. https://doi.org/10.3390/e24030413

AMA Style

Halun J, Karbowniczek P, Kuterba P, Danel Z. Correction: Halun et al. Investigation of Ring and Star Polymers in Confined Geometries: Theory and Simulations. Entropy 2021, 23, 242. Entropy. 2022; 24(3):413. https://doi.org/10.3390/e24030413

Chicago/Turabian Style

Halun, Joanna, Pawel Karbowniczek, Piotr Kuterba, and Zoriana Danel. 2022. "Correction: Halun et al. Investigation of Ring and Star Polymers in Confined Geometries: Theory and Simulations. Entropy 2021, 23, 242" Entropy 24, no. 3: 413. https://doi.org/10.3390/e24030413

APA Style

Halun, J., Karbowniczek, P., Kuterba, P., & Danel, Z. (2022). Correction: Halun et al. Investigation of Ring and Star Polymers in Confined Geometries: Theory and Simulations. Entropy 2021, 23, 242. Entropy, 24(3), 413. https://doi.org/10.3390/e24030413

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