Cargando…
Classical harmonic three-body system: an experimental electronic realization
The classical three-body harmonic system in [Formula: see text] ([Formula: see text] ) with finite rest lengths and zero total angular momentum [Formula: see text] is considered. This model describes the dynamics of the [Formula: see text] near-equilibrium configurations of three point masses [Formu...
Autores principales: | , , , |
---|---|
Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2022
|
Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9349263/ https://www.ncbi.nlm.nih.gov/pubmed/35922544 http://dx.doi.org/10.1038/s41598-022-17541-0 |
_version_ | 1784762092551667712 |
---|---|
author | Escobar-Ruiz, A. M. Quiroz-Juarez, M. A. Del Rio-Correa, J. L. Aquino, N. |
author_facet | Escobar-Ruiz, A. M. Quiroz-Juarez, M. A. Del Rio-Correa, J. L. Aquino, N. |
author_sort | Escobar-Ruiz, A. M. |
collection | PubMed |
description | The classical three-body harmonic system in [Formula: see text] ([Formula: see text] ) with finite rest lengths and zero total angular momentum [Formula: see text] is considered. This model describes the dynamics of the [Formula: see text] near-equilibrium configurations of three point masses [Formula: see text] with arbitrary pairwise potential [Formula: see text] that solely depends on the relative distances between bodies. It exhibits an interesting mixed regular and chaotic dynamics as a function of the energy and the system parameters. The corresponding harmonic quantum system plays a fundamental role in atomic and molecular physics. In this work we report on a novel electronic experimental realization of the model as a complementary tool to analyze the rich dynamics of the classical system. Our setup allows us to experimentally explore different regions of behavior due to the fact that the intrinsic parameters and initial states of the system are independently set by voltage inputs. Chaotic and periodic motions are characterized employing time series, phase planes, and the largest Lyapunov exponents as a function of the energy and system parameters. The results show an excellent qualitative as well as quantitative agreement between theory and experiment. |
format | Online Article Text |
id | pubmed-9349263 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-93492632022-08-05 Classical harmonic three-body system: an experimental electronic realization Escobar-Ruiz, A. M. Quiroz-Juarez, M. A. Del Rio-Correa, J. L. Aquino, N. Sci Rep Article The classical three-body harmonic system in [Formula: see text] ([Formula: see text] ) with finite rest lengths and zero total angular momentum [Formula: see text] is considered. This model describes the dynamics of the [Formula: see text] near-equilibrium configurations of three point masses [Formula: see text] with arbitrary pairwise potential [Formula: see text] that solely depends on the relative distances between bodies. It exhibits an interesting mixed regular and chaotic dynamics as a function of the energy and the system parameters. The corresponding harmonic quantum system plays a fundamental role in atomic and molecular physics. In this work we report on a novel electronic experimental realization of the model as a complementary tool to analyze the rich dynamics of the classical system. Our setup allows us to experimentally explore different regions of behavior due to the fact that the intrinsic parameters and initial states of the system are independently set by voltage inputs. Chaotic and periodic motions are characterized employing time series, phase planes, and the largest Lyapunov exponents as a function of the energy and system parameters. The results show an excellent qualitative as well as quantitative agreement between theory and experiment. Nature Publishing Group UK 2022-08-03 /pmc/articles/PMC9349263/ /pubmed/35922544 http://dx.doi.org/10.1038/s41598-022-17541-0 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis 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 licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence 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 licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Article Escobar-Ruiz, A. M. Quiroz-Juarez, M. A. Del Rio-Correa, J. L. Aquino, N. Classical harmonic three-body system: an experimental electronic realization |
title | Classical harmonic three-body system: an experimental electronic realization |
title_full | Classical harmonic three-body system: an experimental electronic realization |
title_fullStr | Classical harmonic three-body system: an experimental electronic realization |
title_full_unstemmed | Classical harmonic three-body system: an experimental electronic realization |
title_short | Classical harmonic three-body system: an experimental electronic realization |
title_sort | classical harmonic three-body system: an experimental electronic realization |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9349263/ https://www.ncbi.nlm.nih.gov/pubmed/35922544 http://dx.doi.org/10.1038/s41598-022-17541-0 |
work_keys_str_mv | AT escobarruizam classicalharmonicthreebodysystemanexperimentalelectronicrealization AT quirozjuarezma classicalharmonicthreebodysystemanexperimentalelectronicrealization AT delriocorreajl classicalharmonicthreebodysystemanexperimentalelectronicrealization AT aquinon classicalharmonicthreebodysystemanexperimentalelectronicrealization |