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Bond-orientational order and Frank's constant in two-dimensional colloidal hard spheres
Alice L Thorneywork1,2, Joshua L Abbott1, Dirk G A L Aarts1
1Department of Chemistry, Physical and Theoretical Chemistry Laboratory, University of Oxford, South Parks Road, Oxford, OX1 3QZ, United Kingdom.
Summary
This study investigates 2D colloidal hard spheres, analyzing bond-orientational correlation time and Frank
Area of Science:
- Soft Matter Physics
- Colloidal Systems
- Phase Transitions
Background:
- The phase behavior of 2D colloidal hard spheres has been experimentally determined, revealing liquid-hexatic and hexatic-crystal transitions.
- Previous work established a melting scenario for these systems, but further characterization of transition dynamics is needed.
Purpose of the Study:
- To investigate the behavior of bond-orientational correlation time and Frank's constant near phase transitions in 2D colloidal hard spheres.
- To calculate and analyze excess entropy across liquid, hexatic, and crystal phases using radial distribution functions.
- To further corroborate the established melting scenario through detailed analysis of these physical quantities.
Main Methods:
- Experimental analysis of 2D colloidal hard spheres.
- Measurement of bond-orientational correlation time and Frank's constant.
- Calculation of excess entropy from radial distribution functions.
Main Results:
- The behavior of bond-orientational correlation time and Frank's constant was analyzed in the vicinity of phase transitions.
- Excess entropy was computed for a broad range of area fractions spanning liquid, hexatic, and crystal phases.
- Observed behaviors of these quantities provide additional support for the existing melting scenario.
Conclusions:
- The study's findings reinforce the previously reported melting scenario for 2D colloidal hard spheres.
- Analysis of correlation times, Frank's constant, and excess entropy offers a comprehensive view of the phase transitions.