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On the mechanism behind the inverse melting in systems with competing interactions
The competition between a short range attractive interaction and a nonlocal repulsive interaction promote the appearance of modulated phases. In this work we present the microscopic mechanisms leading to the emergence of inverse transitions in such systems by considering a thorough mean-field analys...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6375973/ https://www.ncbi.nlm.nih.gov/pubmed/30765837 http://dx.doi.org/10.1038/s41598-018-38465-8 |
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author | Mendoza-Coto, Alejandro Nicolao, Lucas Díaz-Méndez, Rogelio |
author_facet | Mendoza-Coto, Alejandro Nicolao, Lucas Díaz-Méndez, Rogelio |
author_sort | Mendoza-Coto, Alejandro |
collection | PubMed |
description | The competition between a short range attractive interaction and a nonlocal repulsive interaction promote the appearance of modulated phases. In this work we present the microscopic mechanisms leading to the emergence of inverse transitions in such systems by considering a thorough mean-field analysis of a variety of minimal models with different competing interactions. We identify the specific connections between the characteristic energy of the homogeneous and modulated phases and the observed reentrant behaviors in the phase diagram. In particular, we find that reentrance is appreciable when the characteristic energy cost of the homogeneous and modulated phases are comparable to each other, and for systems in which the local order parameter is limited. In the asymptotic limit of high energy cost of the homogeneous phase we observe that the degree of reentrance decreases exponentially with the ratio of the characteristic energy cost of homogeneous and modulated phases. These mean-field results are confronted with Langevin simulations of an effective coarse grained model, confirming the expected extension of the reentrance in the phase diagram. These results shed new light on many systems undergoing inverse melting transitions by qualitatively improving the understanding of the interplay of entropy and energy around the inverse melting points. |
format | Online Article Text |
id | pubmed-6375973 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-63759732019-02-19 On the mechanism behind the inverse melting in systems with competing interactions Mendoza-Coto, Alejandro Nicolao, Lucas Díaz-Méndez, Rogelio Sci Rep Article The competition between a short range attractive interaction and a nonlocal repulsive interaction promote the appearance of modulated phases. In this work we present the microscopic mechanisms leading to the emergence of inverse transitions in such systems by considering a thorough mean-field analysis of a variety of minimal models with different competing interactions. We identify the specific connections between the characteristic energy of the homogeneous and modulated phases and the observed reentrant behaviors in the phase diagram. In particular, we find that reentrance is appreciable when the characteristic energy cost of the homogeneous and modulated phases are comparable to each other, and for systems in which the local order parameter is limited. In the asymptotic limit of high energy cost of the homogeneous phase we observe that the degree of reentrance decreases exponentially with the ratio of the characteristic energy cost of homogeneous and modulated phases. These mean-field results are confronted with Langevin simulations of an effective coarse grained model, confirming the expected extension of the reentrance in the phase diagram. These results shed new light on many systems undergoing inverse melting transitions by qualitatively improving the understanding of the interplay of entropy and energy around the inverse melting points. Nature Publishing Group UK 2019-02-14 /pmc/articles/PMC6375973/ /pubmed/30765837 http://dx.doi.org/10.1038/s41598-018-38465-8 Text en © The Author(s) 2019 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/. |
spellingShingle | Article Mendoza-Coto, Alejandro Nicolao, Lucas Díaz-Méndez, Rogelio On the mechanism behind the inverse melting in systems with competing interactions |
title | On the mechanism behind the inverse melting in systems with competing interactions |
title_full | On the mechanism behind the inverse melting in systems with competing interactions |
title_fullStr | On the mechanism behind the inverse melting in systems with competing interactions |
title_full_unstemmed | On the mechanism behind the inverse melting in systems with competing interactions |
title_short | On the mechanism behind the inverse melting in systems with competing interactions |
title_sort | on the mechanism behind the inverse melting in systems with competing interactions |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6375973/ https://www.ncbi.nlm.nih.gov/pubmed/30765837 http://dx.doi.org/10.1038/s41598-018-38465-8 |
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