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Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions

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Published on: April 19, 2018

Two-patch colloidal model with re-entrant phase behaviour.

Y V Kalyuzhnyi¹, P T Cummings

¹Institute for Condensed Matter Physics, Svientsitskoho 1, 79011 Lviv, Ukraine.

The Journal of Chemical Physics

|September 21, 2013

Summary

We developed a thermodynamic theory for patchy colloids. Competition between network and chain formation leads to re-entrant phase behavior, revealing coexistence between chain-end-rich gas and branch-point-rich liquid phases.

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Area of Science:

Colloid Science
Thermodynamics
Materials Science

Background:

Patchy colloidal particles offer tunable self-assembly properties.
Understanding their phase behavior is crucial for designing novel materials.
Existing models often simplify bonding interactions.

Purpose of the Study:

To develop a second-order thermodynamic perturbation theory for a hard-sphere patchy colloidal model.
To investigate the phase behavior arising from competing network and chain formation.
To analyze the role of bonding states in re-entrant phase transitions.

Main Methods:

Developed a second-order thermodynamic perturbation theory.
Modeled a hard-sphere colloidal system with two types of doubly bondable patches (A and B).
Studied phase behavior by varying potential model parameters and analyzing particle bonding states.

Main Results:

AB bonding promotes three-dimensional network formation; AA and BB bonding promote chain formation.
Competition between network and chain formation results in re-entrant phase behavior with upper and lower critical points.
Incorporating van der Waals interactions can lead to three critical points and two liquid-gas coexistence regions.

Conclusions:

Re-entrant phase behavior is driven by the competition between network and chain formation.
The observed re-entrant phase coexistence represents a transition between a gas phase rich in chain ends and a liquid phase rich in branch points.
The developed theory provides a framework for understanding complex phase diagrams in patchy colloidal systems.