{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:56:40Z","timestamp":1760241400340,"version":"build-2065373602"},"reference-count":41,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2018,2,12]],"date-time":"2018-02-12T00:00:00Z","timestamp":1518393600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.3390\/e20020122","type":"journal-article","created":{"date-parts":[[2018,2,12]],"date-time":"2018-02-12T10:50:38Z","timestamp":1518432638000},"page":"122","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Attraction Controls the Entropy of Fluctuations in Isosceles Triangular Networks"],"prefix":"10.3390","volume":"20","author":[{"given":"Fabio","family":"Leoni","sequence":"first","affiliation":[{"name":"School of Mechanical Engineering, Tel-Aviv University, Tel-Aviv 69978, Israel"},{"name":"Sackler Center for Computational Molecular and Materials Science, Tel-Aviv University, Tel-Aviv 69978, Israel"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1195-4614","authenticated-orcid":false,"given":"Yair","family":"Shokef","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Tel-Aviv University, Tel-Aviv 69978, Israel"},{"name":"Sackler Center for Computational Molecular and Materials Science, Tel-Aviv University, Tel-Aviv 69978, Israel"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,2,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2680","DOI":"10.1021\/ja01315a102","article-title":"The structure and entropy of ice and of other crystals with some randomness of atomic arrangement","volume":"57","author":"Pauling","year":"1935","journal-title":"J. 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