Phase behavior of athermal colloid-star polymer mixtures

Nathan A. Mahynski, Athanassios Z. Panagiotopoulos

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We investigate the depletion-induced phase behavior of athermal colloid-star polymer mixtures on a fine lattice using grand canonical Monte Carlo simulations in the "protein limit," that is, where polymer dimensions exceed those of the colloid. We consider the influence of the star's functionality, f, the macroscopic size ratio, qr = 2Rg, s/σc, where Rg, s is the radius of gyration of the star and σc is the colloid diameter, and the microscopic size ratio, d = σmc, where σm is the diameter of a Kuhn segment. Recent theoretical predictions concerning the qualitative interplay of qr and f in determining the phase stability of these mixtures [D. Marzi, C. N. Likos, and B. Capone, J. Chem. Phys. 137, 014902 (2012)] in the limit of large f are mostly corroborated by our results which span a much lower range of functionalities. Our results suggest a direct connection between the phase behavior and the scaling regimes of single star structure in the classical Daoud-Cotton (DC) description [M. Daoud and J. P. Cotton, J. Phys. 43, 531-538 (1982)]. Using this formalism, we define a "low" functionality limit through scaling arguments, for which our model provides a mapping of the phase behavior of colloidal mixtures with star polymers (f > 2) to linear chains (f = 2). Furthermore, our simulations suggest that as qr increases, both the critical monomer and colloid densities tend to a constant, finite value for all f; thus, we do not find the prediction by Marzi and co-workers of an upper limit to immiscibility (infinite critical densities) in terms of qr to be accurate for the stars we have investigated.

Original languageEnglish (US)
Article number024907
JournalJournal of Chemical Physics
Volume139
Issue number2
DOIs
StatePublished - Jul 14 2013

Fingerprint

Colloids
Phase behavior
Stars
colloids
Polymers
stars
polymers
scaling
Phase stability
cotton
gyration
predictions
Cotton
depletion
solubility
simulation
Solubility
monomers
Monomers
formalism

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

Cite this

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title = "Phase behavior of athermal colloid-star polymer mixtures",
abstract = "We investigate the depletion-induced phase behavior of athermal colloid-star polymer mixtures on a fine lattice using grand canonical Monte Carlo simulations in the {"}protein limit,{"} that is, where polymer dimensions exceed those of the colloid. We consider the influence of the star's functionality, f, the macroscopic size ratio, qr = 2Rg, s/σc, where Rg, s is the radius of gyration of the star and σc is the colloid diameter, and the microscopic size ratio, d = σm/σc, where σm is the diameter of a Kuhn segment. Recent theoretical predictions concerning the qualitative interplay of qr and f in determining the phase stability of these mixtures [D. Marzi, C. N. Likos, and B. Capone, J. Chem. Phys. 137, 014902 (2012)] in the limit of large f are mostly corroborated by our results which span a much lower range of functionalities. Our results suggest a direct connection between the phase behavior and the scaling regimes of single star structure in the classical Daoud-Cotton (DC) description [M. Daoud and J. P. Cotton, J. Phys. 43, 531-538 (1982)]. Using this formalism, we define a {"}low{"} functionality limit through scaling arguments, for which our model provides a mapping of the phase behavior of colloidal mixtures with star polymers (f > 2) to linear chains (f = 2). Furthermore, our simulations suggest that as qr increases, both the critical monomer and colloid densities tend to a constant, finite value for all f; thus, we do not find the prediction by Marzi and co-workers of an upper limit to immiscibility (infinite critical densities) in terms of qr to be accurate for the stars we have investigated.",
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Phase behavior of athermal colloid-star polymer mixtures. / Mahynski, Nathan A.; Panagiotopoulos, Athanassios Z.

In: Journal of Chemical Physics, Vol. 139, No. 2, 024907, 14.07.2013.

Research output: Contribution to journalArticle

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AU - Panagiotopoulos, Athanassios Z.

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