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Two rigidity-percolation transitions on binary Bethe networks and the intermediate phase in glass
1Depto. de Física Aplicada, CINVESTAV del IPN, Av. Tecnológico Km 6, 97310 Mérida, Yucatán, Mexico.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 4, 2014
Summary
Rigidity percolation in networks with two node types reveals two first-order transitions. This suggests a mechanism for intermediate phases in glass, independent of self-organization.
Area of Science:
- Materials Science
- Condensed Matter Physics
- Network Science
Background:
- Rigidity percolation is crucial for understanding the mechanical properties of disordered materials.
- Glass networks, particularly chalcogenide glasses, exhibit complex mechanical behaviors.
- Existing models often struggle to explain the emergence of intermediate phases in glasses.
Purpose of the Study:
- To analytically investigate rigidity percolation on heterogeneous networks.
- To model networks mimicking chalcogenide glass structures.
- To explore the origins of intermediate phases in glassy materials.
Main Methods:
- Analytical treatment of rigidity percolation.
- Modeling networks with two distinct node types (coordination numbers z(1), z(2) and degrees of freedom g(1), g(2)).
- Focus on specific network configurations relevant to chalcogenide glasses.
Main Results:
- Identification of two distinct first-order phase transitions.
- Observation of a weak first transition followed by a distinct intermediate phase.
- The intermediate phase exhibits minimal self-stress, despite not being entirely isostatic.
- The findings are applicable to specific models of chalcogenide glass networks.
Conclusions:
- The study provides an analytical framework for understanding rigidity percolation in complex networks.
- A novel mechanism for the formation of intermediate phases in glasses is proposed.
- This mechanism does not rely on self-organization principles, offering a new perspective on glass behavior.
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