Correction: Transfer matrix theory of polymer complex coacervation (Soft Matter (2017) 13 (7001-7012) DOI: 10.1039/C7SM01080J)

Tyler K. Lytle, Charles E. Sing

Research output: Contribution to journalComment/debate

Abstract

The authors regret that there is an incorrect equation in ref. 1. Eqn (18) in the manuscript, and the subsequent example, are intended to compute the conditional probability p(si|si-1) of observing a state si at monomer i given a state si-1 at the previous monomer i-1.1 The correct expression requires a similar calculation using the frequency n of the transitions from si-1 to si: (Formula Presented). In the original manuscript,1 the matrix elements M are taken to be the frequencies, but this is incorrect. Instead, these values of n require that a term be added to the calculation of the partition via a factor ζ added to the transfer matrix element of interest (i.e., M(si,si-1)-M(si,si-1) × ζ for si,si-1). The frequency can then be calculated via the expression: (Formula Presented) We numerically calculate the new quantities for these conditional probabilities, as a correction to Fig. 3 of the original manuscript,1 and plot them below against the original simulation values. The same parameters are used here as in the original manuscript. We note that, while possessing quantitative differences from the original (incorrect) values, these theoretical predictions still exhibit similar agreement with simulation values. We thus consider that the original parameters are still appropriate, and therefore the remainder of the manuscript remains quantitatively unchanged and the original conclusions are still valid. (Figure Presented). Acknowledgements We acknowledge Jason J. Madinya for bringing this error to our attention. The Royal Society of Chemistry apologises for these errors and any consequent inconvenience to authors and readers.

Original languageEnglish (US)
Pages (from-to)9157-9158
Number of pages2
JournalSoft Matter
Volume15
Issue number44
DOIs
StatePublished - Jan 1 2019

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matrix theory
Polymers
Monomers
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partitions
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ASJC Scopus subject areas

  • Chemistry(all)
  • Condensed Matter Physics

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Correction : Transfer matrix theory of polymer complex coacervation (Soft Matter (2017) 13 (7001-7012) DOI: 10.1039/C7SM01080J). / Lytle, Tyler K.; Sing, Charles E.

In: Soft Matter, Vol. 15, No. 44, 01.01.2019, p. 9157-9158.

Research output: Contribution to journalComment/debate

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abstract = "The authors regret that there is an incorrect equation in ref. 1. Eqn (18) in the manuscript, and the subsequent example, are intended to compute the conditional probability p(si|si-1) of observing a state si at monomer i given a state si-1 at the previous monomer i-1.1 The correct expression requires a similar calculation using the frequency n of the transitions from si-1 to si: (Formula Presented). In the original manuscript,1 the matrix elements M are taken to be the frequencies, but this is incorrect. Instead, these values of n require that a term be added to the calculation of the partition via a factor ζ added to the transfer matrix element of interest (i.e., M(si,si-1)-M(si,si-1) × ζ for si,si-1). The frequency can then be calculated via the expression: (Formula Presented) We numerically calculate the new quantities for these conditional probabilities, as a correction to Fig. 3 of the original manuscript,1 and plot them below against the original simulation values. The same parameters are used here as in the original manuscript. We note that, while possessing quantitative differences from the original (incorrect) values, these theoretical predictions still exhibit similar agreement with simulation values. We thus consider that the original parameters are still appropriate, and therefore the remainder of the manuscript remains quantitatively unchanged and the original conclusions are still valid. (Figure Presented). Acknowledgements We acknowledge Jason J. Madinya for bringing this error to our attention. The Royal Society of Chemistry apologises for these errors and any consequent inconvenience to authors and readers.",
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N2 - The authors regret that there is an incorrect equation in ref. 1. Eqn (18) in the manuscript, and the subsequent example, are intended to compute the conditional probability p(si|si-1) of observing a state si at monomer i given a state si-1 at the previous monomer i-1.1 The correct expression requires a similar calculation using the frequency n of the transitions from si-1 to si: (Formula Presented). In the original manuscript,1 the matrix elements M are taken to be the frequencies, but this is incorrect. Instead, these values of n require that a term be added to the calculation of the partition via a factor ζ added to the transfer matrix element of interest (i.e., M(si,si-1)-M(si,si-1) × ζ for si,si-1). The frequency can then be calculated via the expression: (Formula Presented) We numerically calculate the new quantities for these conditional probabilities, as a correction to Fig. 3 of the original manuscript,1 and plot them below against the original simulation values. The same parameters are used here as in the original manuscript. We note that, while possessing quantitative differences from the original (incorrect) values, these theoretical predictions still exhibit similar agreement with simulation values. We thus consider that the original parameters are still appropriate, and therefore the remainder of the manuscript remains quantitatively unchanged and the original conclusions are still valid. (Figure Presented). Acknowledgements We acknowledge Jason J. Madinya for bringing this error to our attention. The Royal Society of Chemistry apologises for these errors and any consequent inconvenience to authors and readers.

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