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Article

Attraction Controls the Entropy of Fluctuations in Isosceles Triangular Networks

by 1,2 and 1,2,*
1
School of Mechanical Engineering, Tel-Aviv University, Tel-Aviv 69978, Israel
2
Sackler Center for Computational Molecular and Materials Science, Tel-Aviv University, Tel-Aviv 69978, Israel
*
Author to whom correspondence should be addressed.
Entropy 2018, 20(2), 122; https://doi.org/10.3390/e20020122
Received: 26 January 2018 / Revised: 8 February 2018 / Accepted: 10 February 2018 / Published: 12 February 2018
(This article belongs to the Special Issue Residual Entropy and Nonequilibrium States)
We study two-dimensional triangular-network models, which have degenerate ground states composed of straight or randomly-zigzagging stripes and thus sub-extensive residual entropy. We show that attraction is responsible for the inversion of the stable phase by changing the entropy of fluctuations around the ground-state configurations. By using a real-space shell-expansion method, we compute the exact expression of the entropy for harmonic interactions, while for repulsive harmonic interactions we obtain the entropy arising from a limited subset of the system by numerical integration. We compare these results with a three-dimensional triangular-network model, which shows the same attraction-mediated selection mechanism of the stable phase, and conclude that this effect is general with respect to the dimensionality of the system. View Full-Text
Keywords: order by disorder; geometric frustration; confined colloids; residual entropy order by disorder; geometric frustration; confined colloids; residual entropy
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MDPI and ACS Style

Leoni, F.; Shokef, Y. Attraction Controls the Entropy of Fluctuations in Isosceles Triangular Networks. Entropy 2018, 20, 122. https://doi.org/10.3390/e20020122

AMA Style

Leoni F, Shokef Y. Attraction Controls the Entropy of Fluctuations in Isosceles Triangular Networks. Entropy. 2018; 20(2):122. https://doi.org/10.3390/e20020122

Chicago/Turabian Style

Leoni, Fabio, and Yair Shokef. 2018. "Attraction Controls the Entropy of Fluctuations in Isosceles Triangular Networks" Entropy 20, no. 2: 122. https://doi.org/10.3390/e20020122

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