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Depletion interaction mediated by semiflexible polymers.

C M Martens1, R Tuinier1, M Vis1

  • 1Laboratory of Physical Chemistry, Department of Chemical Engineering and Chemistry, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands.

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|October 22, 2022
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Summary
This summary is machine-generated.

Chain stiffness enhances polymer-mediated attraction between colloidal particles. Semiflexible polymers are more effective depletants, influencing phase behavior in colloid-polymer mixtures.

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Area of Science:

  • Colloid and Polymer Science
  • Soft Matter Physics
  • Physical Chemistry

Background:

  • Colloidal systems are ubiquitous in nature and industry.
  • Polymer-induced depletion attraction is a key phenomenon in colloid science.
  • Understanding the role of polymer chain stiffness is crucial for controlling colloidal self-assembly.

Purpose of the Study:

  • To develop a mean-field theory for polymer-mediated depletion attraction.
  • To investigate the effect of polymer chain stiffness on attraction strength and range.
  • To analyze the impact of chain stiffness on the second osmotic virial coefficient (B2).

Main Methods:

  • Development of a simple mean-field theory.
  • Analytical calculations of depletion interaction potential.
  • Numerical self-consistent field lattice computations.
  • Comparison of theoretical predictions with numerical results.

Main Results:

  • Depletion attraction strength increases with chain stiffness in dilute and semidilute regimes.
  • Attraction range decreases monotonically with stiffness in dilute, but peaks in semidilute regimes.
  • The second osmotic virial coefficient (B2) is a convex function of chain stiffness, exhibiting a minimum.

Conclusions:

  • Semiflexible polymers are more effective depletants than flexible polymers.
  • The developed theory quantitatively agrees with numerical simulations.
  • Findings provide insights into the phase behavior of colloid-semiflexible polymer mixtures.