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Dynamical arrest in adhesive hard-sphere dispersions driven by rigidity percolation.
Néstor E Valadez-Pérez1, Yun Liu2, Aaron P R Eberle3
1División de Ciencias e Ingenierías, Campus León, Universidad de Guanajuato, Loma del Bosque 103, Lomas del Campestre, 37150 León, Guanajuato, Mexico and The NIST Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-6100, USA.
Dynamical arrest in gels and glasses arises from rigidity percolation, a universal mechanism. This study links colloidal suspension gelation to this concept, revealing structural topology at the critical gel state.
Area of Science:
- Condensed matter physics
- Materials science
- Colloid science
Background:
- Identifying physical mechanisms for arrested states like gels and glasses is a major goal.
- A general, unified definition is crucial for scientific and technological advancement.
- Microscopic details of specific systems are complex.
Purpose of the Study:
- To demonstrate that dynamical arrest in adhesive hard-sphere dispersions results from rigidity percolation.
- To connect critical gel formation in colloidal suspensions to universal rigidity percolation concepts.
- To study the structure's topology at the critical gel state.
Main Methods:
- Monte Carlo computer simulations of experimentally identified states.
- Analysis of bond, angular, and local distributions along the gelation line.
Main Results:
- Dynamical arrest in adhesive hard-sphere dispersions is linked to rigidity percolation.
- The coordination number at arrest is 〈n(b)〉 = 2.4.
- This mechanism is consistent with transitions in network-forming materials.
Conclusions:
- The study establishes a connection between critical gel formation and universal rigidity percolation.
- The findings provide insights into the topology of structures at the critical gel state.
- This work offers a unified perspective on arrested states of matter.
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