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Attraction Controls the Entropy of Fluctuations in Isosceles Triangular Networks.

Fabio Leoni^1,2, Yair Shokef^1,2

¹School of Mechanical Engineering, Tel-Aviv University, Tel-Aviv 69978, Israel.

Entropy (Basel, Switzerland)

|December 3, 2020

Summary

Attraction drives phase selection in two-dimensional triangular-network models by altering fluctuation entropy. This mechanism, observed in both 2D and 3D systems, is crucial for understanding material stability.

Keywords:

confined colloids geometric frustration order by disorder residual entropy

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Area of Science:

Condensed Matter Physics
Statistical Mechanics
Materials Science

Background:

Investigating two-dimensional (2D) triangular-network models reveals degenerate ground states with stripe configurations.
These configurations exhibit sub-extensive residual entropy, a key characteristic influencing system behavior.

Purpose of the Study:

To elucidate the role of attractive interactions in determining the stable phase of these network models.
To understand how entropy of fluctuations around ground states impacts phase stability.

Main Methods:

Employed a real-space shell-expansion method for exact entropy calculation with harmonic interactions.
Utilized numerical integration to determine entropy for repulsive harmonic interactions in a subset of the system.

Main Results:

Demonstrated that attractive forces invert the stable phase by modifying fluctuation entropy.
Confirmed the attraction-mediated selection mechanism in a three-dimensional (3D) triangular-network model.

Conclusions:

The attraction-driven phase selection mechanism is independent of system dimensionality.
This finding offers a general principle for understanding phase stability in network materials.