Observational constraints on the product of dark energy chemical potential and number density in out-of-equilibrium models

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Main Authors: Netto, J. M. Costa, Gonzalez, Javier E., Silva, H. H. B.
Format: Preprint
Published: 2025
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author Netto, J. M. Costa
Gonzalez, Javier E.
Silva, H. H. B.
author_facet Netto, J. M. Costa
Gonzalez, Javier E.
Silva, H. H. B.
contents In this work, we impose observational limits on the product of dark energy chemical potential, $μ$, and number density, $n$, at the present time in out-of-equilibrium models, considering that particles can be created or destroyed in the fluid at a rate $Γ=3αH(a)$, where $α$ is a constant and $H(a)\equiv\dot{a}/a$ is the Hubble parameter. We combine the bounds derived from the positivity of entropy and the second law of thermodynamics with observational constraints on the Chevallier-Polarski-Linder (CPL) and Barboza-Alcaniz (BA) parameterizations of the equation of state (EoS) of the component. We use Type Ia supernovae (SN Ia) data from Pantheon+; baryon acoustic oscillation (BAO) data from DESI DR2; and cosmic microwave background (CMB) measurements from Planck. For $α>0$ (particle creation), the thermodynamic restrictions yield only upper limits for the $μ_{0}n_{0}$ product, while in the case of $α<0$ (particle destruction) they establish both upper and lower limits, allowing for a range of values to be obtained. In both scenarios, however, we find that the chemical potential of dark energy must be negative, $μ<0$, which indicates a preference for the phantom regime. In particular, when $α<0$, it is noted that the thermodynamic bounds are simultaneously compatible only for very small absolute values of $α$, with $α=-0.0002$ being the limiting case and resulting in $μ_{0}n_{0}(α=-0.0002)=-2.2_{-0.7}^{+1.0}\,\,GeV/m^{3}$.
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id arxiv_https___arxiv_org_abs_2511_15828
institution arXiv
publishDate 2025
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spellingShingle Observational constraints on the product of dark energy chemical potential and number density in out-of-equilibrium models
Netto, J. M. Costa
Gonzalez, Javier E.
Silva, H. H. B.
Cosmology and Nongalactic Astrophysics
In this work, we impose observational limits on the product of dark energy chemical potential, $μ$, and number density, $n$, at the present time in out-of-equilibrium models, considering that particles can be created or destroyed in the fluid at a rate $Γ=3αH(a)$, where $α$ is a constant and $H(a)\equiv\dot{a}/a$ is the Hubble parameter. We combine the bounds derived from the positivity of entropy and the second law of thermodynamics with observational constraints on the Chevallier-Polarski-Linder (CPL) and Barboza-Alcaniz (BA) parameterizations of the equation of state (EoS) of the component. We use Type Ia supernovae (SN Ia) data from Pantheon+; baryon acoustic oscillation (BAO) data from DESI DR2; and cosmic microwave background (CMB) measurements from Planck. For $α>0$ (particle creation), the thermodynamic restrictions yield only upper limits for the $μ_{0}n_{0}$ product, while in the case of $α<0$ (particle destruction) they establish both upper and lower limits, allowing for a range of values to be obtained. In both scenarios, however, we find that the chemical potential of dark energy must be negative, $μ<0$, which indicates a preference for the phantom regime. In particular, when $α<0$, it is noted that the thermodynamic bounds are simultaneously compatible only for very small absolute values of $α$, with $α=-0.0002$ being the limiting case and resulting in $μ_{0}n_{0}(α=-0.0002)=-2.2_{-0.7}^{+1.0}\,\,GeV/m^{3}$.
title Observational constraints on the product of dark energy chemical potential and number density in out-of-equilibrium models
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2511.15828