Thermodynamic of the f(Q) universe

Abstract We investigate thermodynamics of apparent horizon in the f(Q) universe with trivial and nontrivial connections. We first explore the perspectives of the first law, generalized second law and P–V phase transition with trivial connection. We show that the lowest-order correction of entropy ha...

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Main Authors: Haomin Rao, Chunhui Liu, Chao-Qiang Geng
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-13711-8
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author Haomin Rao
Chunhui Liu
Chao-Qiang Geng
author_facet Haomin Rao
Chunhui Liu
Chao-Qiang Geng
author_sort Haomin Rao
collection DOAJ
description Abstract We investigate thermodynamics of apparent horizon in the f(Q) universe with trivial and nontrivial connections. We first explore the perspectives of the first law, generalized second law and P–V phase transition with trivial connection. We show that the lowest-order correction of entropy has the same form as that in loop quantum gravity, and the critical exponents of the phase transition caused by the lowest-order correction are consistent with those in mean field theory. We then examine the thermodynamic implication of nontrivial connections. We find that nontrivial connections in the f(Q) universe imply non-equilibrium states from the perspective of thermodynamics.
format Article
id doaj-art-405a6d0da19d474c96aff1d76ca04f7f
institution Kabale University
issn 1434-6052
language English
publishDate 2024-12-01
publisher SpringerOpen
record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj-art-405a6d0da19d474c96aff1d76ca04f7f2025-02-02T12:39:36ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-12-01841211110.1140/epjc/s10052-024-13711-8Thermodynamic of the f(Q) universeHaomin Rao0Chunhui Liu1Chao-Qiang Geng2School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCASSchool of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCASSchool of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCASAbstract We investigate thermodynamics of apparent horizon in the f(Q) universe with trivial and nontrivial connections. We first explore the perspectives of the first law, generalized second law and P–V phase transition with trivial connection. We show that the lowest-order correction of entropy has the same form as that in loop quantum gravity, and the critical exponents of the phase transition caused by the lowest-order correction are consistent with those in mean field theory. We then examine the thermodynamic implication of nontrivial connections. We find that nontrivial connections in the f(Q) universe imply non-equilibrium states from the perspective of thermodynamics.https://doi.org/10.1140/epjc/s10052-024-13711-8
spellingShingle Haomin Rao
Chunhui Liu
Chao-Qiang Geng
Thermodynamic of the f(Q) universe
European Physical Journal C: Particles and Fields
title Thermodynamic of the f(Q) universe
title_full Thermodynamic of the f(Q) universe
title_fullStr Thermodynamic of the f(Q) universe
title_full_unstemmed Thermodynamic of the f(Q) universe
title_short Thermodynamic of the f(Q) universe
title_sort thermodynamic of the f q universe
url https://doi.org/10.1140/epjc/s10052-024-13711-8
work_keys_str_mv AT haominrao thermodynamicofthefquniverse
AT chunhuiliu thermodynamicofthefquniverse
AT chaoqianggeng thermodynamicofthefquniverse