Construction of Ground-State Solutions of the Gross–Pitaevskii–Poisson System Using Genetic Algorithms

Autor:	Carlos Tena-Contreras, Iván Alvarez-Ríos, Francisco S. Guzmán
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	self-gravitating systems dark matter Bose condensates Elementary particle physics QC793-793.5
Zdroj:	Universe, Vol 10, Iss 8, p 309 (2024)
Druh dokumentu:	article
ISSN:	10080309 2218-1997
DOI:	10.3390/universe10080309
Popis:	We present the construction of the ground state of the Gross–Pitaevskii–Poisson equations using genetic algorithms. By employing numerical solutions, we develop an empirical formula for the density that works within the considered parameter space. Through the analysis of both numerical and empirical solutions, we investigate the stability of these ground-state solutions. Our findings reveal that while the numerical solution outperforms the empirical formula, both solutions lead to similar oscillation modes. We observe that the stability of the solutions depends on specific values of the central density and the nonlinear self-interaction term and establish an empirical criterion delineating the conditions under which the solutions exhibit stability or instability.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/dc5de9200df0415f9e1fa35c7b780ace Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.