2023
DOI: 10.1039/d3sm00727h
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Cylindrical brushes with ionized side chains: Scaling theory revisited

Ekaterina B. Zhulina,
Oleg V. Borisov

Abstract: We revisit the classic scaling model of a cylindrical polyelectrolyte (PE) brush focusing on molecular brushes with stiff backbones and dispersions of polymer-decorated nanorods.

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Cited by 2 publications
(2 citation statements)
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“…In theoretical modeling, the goal is to get an idea of the structure of the PE brushes by obtaining some macroscopic quantity such as the brush height and monomer distribution. There are notably two approaches for such theoretical modeling: scaling calculations 23,[51][52][53][54][55][56][57][58][59] and field theory-based calculations [i.e., the calculations based on the strong stretching theory (SST) or the self consistent field theory (SCFT)]. [60][61][62][63][64][65][66] In both the approaches, the free energy of the overall brush system is first expressed in terms of the various parameters such as the Kuhn length, the number of monomers per chain, grafting density, and most importantly the quantity that will carry structural information of the PE brush system (namely, the brush height for the scaling calculations and the monomer density distribution for the SCFT approach).…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…In theoretical modeling, the goal is to get an idea of the structure of the PE brushes by obtaining some macroscopic quantity such as the brush height and monomer distribution. There are notably two approaches for such theoretical modeling: scaling calculations 23,[51][52][53][54][55][56][57][58][59] and field theory-based calculations [i.e., the calculations based on the strong stretching theory (SST) or the self consistent field theory (SCFT)]. [60][61][62][63][64][65][66] In both the approaches, the free energy of the overall brush system is first expressed in terms of the various parameters such as the Kuhn length, the number of monomers per chain, grafting density, and most importantly the quantity that will carry structural information of the PE brush system (namely, the brush height for the scaling calculations and the monomer density distribution for the SCFT approach).…”
Section: Introductionmentioning
confidence: 99%
“…In theoretical modeling, the goal is to get an idea of the structure of the PE brushes by obtaining some macroscopic quantity such as the brush height and monomer distribution. There are notably two approaches for such theoretical modeling: scaling calculations 23,51–59 and field theory-based calculations [ i.e. , the calculations based on the strong stretching theory (SST) or the self consistent field theory (SCFT)].…”
Section: Introductionmentioning
confidence: 99%