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Attraction Controls the Entropy of Fluctuations in Isosceles Triangular Networks

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 ar...

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Detalles Bibliográficos
Autores principales: Leoni, Fabio, Shokef, Yair
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512615/
https://www.ncbi.nlm.nih.gov/pubmed/33265213
http://dx.doi.org/10.3390/e20020122
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author Leoni, Fabio
Shokef, Yair
author_facet Leoni, Fabio
Shokef, Yair
author_sort Leoni, Fabio
collection PubMed
description 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.
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spelling pubmed-75126152020-11-09 Attraction Controls the Entropy of Fluctuations in Isosceles Triangular Networks Leoni, Fabio Shokef, Yair Entropy (Basel) Article 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. MDPI 2018-02-12 /pmc/articles/PMC7512615/ /pubmed/33265213 http://dx.doi.org/10.3390/e20020122 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Leoni, Fabio
Shokef, Yair
Attraction Controls the Entropy of Fluctuations in Isosceles Triangular Networks
title Attraction Controls the Entropy of Fluctuations in Isosceles Triangular Networks
title_full Attraction Controls the Entropy of Fluctuations in Isosceles Triangular Networks
title_fullStr Attraction Controls the Entropy of Fluctuations in Isosceles Triangular Networks
title_full_unstemmed Attraction Controls the Entropy of Fluctuations in Isosceles Triangular Networks
title_short Attraction Controls the Entropy of Fluctuations in Isosceles Triangular Networks
title_sort attraction controls the entropy of fluctuations in isosceles triangular networks
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512615/
https://www.ncbi.nlm.nih.gov/pubmed/33265213
http://dx.doi.org/10.3390/e20020122
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