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Controlling a complex system near its critical point via temporal correlations
Many complex systems exhibit large fluctuations both across space and over time. These fluctuations have often been linked to the presence of some kind of critical phenomena, where it is well known that the emerging correlation functions in space and time are closely related to each other. Here we t...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2020
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7376152/ https://www.ncbi.nlm.nih.gov/pubmed/32699316 http://dx.doi.org/10.1038/s41598-020-69154-0 |
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author | Chialvo, Dante R. Cannas, Sergio A. Grigera, Tomás S. Martin, Daniel A. Plenz, Dietmar |
author_facet | Chialvo, Dante R. Cannas, Sergio A. Grigera, Tomás S. Martin, Daniel A. Plenz, Dietmar |
author_sort | Chialvo, Dante R. |
collection | PubMed |
description | Many complex systems exhibit large fluctuations both across space and over time. These fluctuations have often been linked to the presence of some kind of critical phenomena, where it is well known that the emerging correlation functions in space and time are closely related to each other. Here we test whether the time correlation properties allow systems exhibiting a phase transition to self-tune to their critical point. We describe results in three models: the 2D Ising ferromagnetic model, the 3D Vicsek flocking model and a small-world neuronal network model. We demonstrate that feedback from the autocorrelation function of the order parameter fluctuations shifts the system towards its critical point. Our results rely on universal properties of critical systems and are expected to be relevant to a variety of other settings. |
format | Online Article Text |
id | pubmed-7376152 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-73761522020-07-24 Controlling a complex system near its critical point via temporal correlations Chialvo, Dante R. Cannas, Sergio A. Grigera, Tomás S. Martin, Daniel A. Plenz, Dietmar Sci Rep Article Many complex systems exhibit large fluctuations both across space and over time. These fluctuations have often been linked to the presence of some kind of critical phenomena, where it is well known that the emerging correlation functions in space and time are closely related to each other. Here we test whether the time correlation properties allow systems exhibiting a phase transition to self-tune to their critical point. We describe results in three models: the 2D Ising ferromagnetic model, the 3D Vicsek flocking model and a small-world neuronal network model. We demonstrate that feedback from the autocorrelation function of the order parameter fluctuations shifts the system towards its critical point. Our results rely on universal properties of critical systems and are expected to be relevant to a variety of other settings. Nature Publishing Group UK 2020-07-22 /pmc/articles/PMC7376152/ /pubmed/32699316 http://dx.doi.org/10.1038/s41598-020-69154-0 Text en © The Author(s) 2020 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 Chialvo, Dante R. Cannas, Sergio A. Grigera, Tomás S. Martin, Daniel A. Plenz, Dietmar Controlling a complex system near its critical point via temporal correlations |
title | Controlling a complex system near its critical point via temporal correlations |
title_full | Controlling a complex system near its critical point via temporal correlations |
title_fullStr | Controlling a complex system near its critical point via temporal correlations |
title_full_unstemmed | Controlling a complex system near its critical point via temporal correlations |
title_short | Controlling a complex system near its critical point via temporal correlations |
title_sort | controlling a complex system near its critical point via temporal correlations |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7376152/ https://www.ncbi.nlm.nih.gov/pubmed/32699316 http://dx.doi.org/10.1038/s41598-020-69154-0 |
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