Time-averaging axion-like interacting scalar fields models

Abstract In this paper, we study a cosmological model inspired in the axionic matter with two canonical scalar fields $$\phi _1$$ ϕ 1 and $$\phi _2$$ ϕ 2 interacting through a term added to its potential. Introducing novel dynamical variables, and a dimensionless time variable, the resulting dynamic...

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Autores principales:	Saikat Chakraborty, Esteban González, Genly Leon, Bin Wang
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/12c8fe5836a94de6aa6bea6b1d3c2116
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spelling	oai:doaj.org-article:12c8fe5836a94de6aa6bea6b1d3c21162021-11-28T12:11:43ZTime-averaging axion-like interacting scalar fields models10.1140/epjc/s10052-021-09802-51434-60441434-6052https://doaj.org/article/12c8fe5836a94de6aa6bea6b1d3c21162021-11-01T00:00:00Zhttps://doi.org/10.1140/epjc/s10052-021-09802-5https://doaj.org/toc/1434-6044https://doaj.org/toc/1434-6052Abstract In this paper, we study a cosmological model inspired in the axionic matter with two canonical scalar fields $$\phi _1$$ ϕ 1 and $$\phi _2$$ ϕ 2 interacting through a term added to its potential. Introducing novel dynamical variables, and a dimensionless time variable, the resulting dynamical system is studied. The main difficulties arising in the standard dynamical systems approach, where expansion normalized dynamical variables are usually adopted, are due to the oscillations entering the nonlinear system through the Klein–Gordon (KG) equations. This motivates the analysis of the oscillations using methods from the theory of averaging nonlinear dynamical systems. We prove that time-dependent systems, and their corresponding time-averaged versions, have the same late-time dynamics. Then, we study the time-averaged system using standard techniques of dynamical systems. We present numerical simulations as evidence of such behavior.Saikat ChakrabortyEsteban GonzálezGenly LeonBin WangSpringerOpenarticleAstrophysicsQB460-466Nuclear and particle physics. Atomic energy. RadioactivityQC770-798ENEuropean Physical Journal C: Particles and Fields, Vol 81, Iss 11, Pp 1-36 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Saikat Chakraborty Esteban González Genly Leon Bin Wang Time-averaging axion-like interacting scalar fields models
description	Abstract In this paper, we study a cosmological model inspired in the axionic matter with two canonical scalar fields $$\phi _1$$ ϕ 1 and $$\phi _2$$ ϕ 2 interacting through a term added to its potential. Introducing novel dynamical variables, and a dimensionless time variable, the resulting dynamical system is studied. The main difficulties arising in the standard dynamical systems approach, where expansion normalized dynamical variables are usually adopted, are due to the oscillations entering the nonlinear system through the Klein–Gordon (KG) equations. This motivates the analysis of the oscillations using methods from the theory of averaging nonlinear dynamical systems. We prove that time-dependent systems, and their corresponding time-averaged versions, have the same late-time dynamics. Then, we study the time-averaged system using standard techniques of dynamical systems. We present numerical simulations as evidence of such behavior.
format	article
author	Saikat Chakraborty Esteban González Genly Leon Bin Wang
author_facet	Saikat Chakraborty Esteban González Genly Leon Bin Wang
author_sort	Saikat Chakraborty
title	Time-averaging axion-like interacting scalar fields models
title_short	Time-averaging axion-like interacting scalar fields models
title_full	Time-averaging axion-like interacting scalar fields models
title_fullStr	Time-averaging axion-like interacting scalar fields models
title_full_unstemmed	Time-averaging axion-like interacting scalar fields models
title_sort	time-averaging axion-like interacting scalar fields models
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/12c8fe5836a94de6aa6bea6b1d3c2116
work_keys_str_mv	AT saikatchakraborty timeaveragingaxionlikeinteractingscalarfieldsmodels AT estebangonzalez timeaveragingaxionlikeinteractingscalarfieldsmodels AT genlyleon timeaveragingaxionlikeinteractingscalarfieldsmodels AT binwang timeaveragingaxionlikeinteractingscalarfieldsmodels
_version_	1718408122353057792

Time-averaging axion-like interacting scalar fields models

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