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具有宇宙增长的广义逻辑模型的检验

Testing generalized logotropic models with cosmic growth

Kuantay Boshkayev, Talgar Konysbayev, Orlando Luongo, Marco Muccino, Francesco Pace

备注：
15 pages, 3 tables, 4 figures. It matches the published version
发表信息：
Phys. Rev. D 104, 023520 (2021)
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摘要：

我们检查的动力学和观测特征的logotropic暗能量模型的四个类型学，导致一个\emph{thermodynamic cosmic speed up}燃料由一个单一的流体，统一的暗能量和暗物质。我们首先提出了两个主要的Anton-Schmidt流体的Grüneisen参数$γ_{\rm G}$是自由变化的，然后固定到特殊值$γ_{\rm G}=\tfrac{5}{6}$。我们还研究了纯逻辑模型，对应于$γ_{\rm G}=-\frac{1}{6}$。最后，我们提出了一个新的logotropic范式，作为一个广义的logotropic流体，在其中我们分裂的暗物质和重子的作用。我们表明，logotropic范式可能会出现的缺点，在扰动，表现出负的绝热声速，使扰动不稳定。排除了含有$γ_{\rm G}=\frac{5}{6}$的Anton-Schmidt模型，而广义对数流体似乎是最合适的模型，尽管比$Λ$ CDM模型稍差。我们结合低和高红移域通过实验拟合的基础上蒙特卡洛马尔可夫链程序，考虑到超新星Ia目录，哈勃测量和$σ_8$数据点。我们考虑两个模型选择标准来推断四个模型的统计显著性。我们的结论是，在Grüneisen参数自由变化和/或固定为$γ_{\rm G}=-\frac{1}{6}$的情况下，处理Anton-Schmidt流体具有统计学优势。广义的logotropic流体表示合适的结果，统计上比其他模型更有利，直到声速为正，在其他地方的扰动变得不稳定。我们强调，$Λ$ CDM范式的统计工作优于任何种类的logotropic和广义logotropic模型，而Chevallier-Polarski-Linder参数化是统计可比的logotropic方案。

英文摘要：

We check the dynamical and observational features of four typologies of logotropic dark energy models, leading to a \emph{thermodynamic cosmic speed up} fueled by a single fluid that unifies dark energy and dark matter. We first present two principal Anton-Schmidt fluids where the Grüneisen parameter $γ_{\rm G}$ is free to vary and then fixed to the special value $γ_{\rm G}=\tfrac{5}{6}$. We also investigate the pure logotropic model, corresponding to $γ_{\rm G}=-\frac{1}{6}$. Finally, we propose a new logotropic paradigm that works as a generalized logotropic fluid, in which we split the role of dark matter and baryons. We demonstrate that the logotropic paradigms may present drawbacks in perturbations, showing a negative adiabatic sound speed which make perturbations unstable. The Anton-Schmidt model with $γ_{\rm G}=\frac{5}{6}$ is ruled out while the generalized logotropic fluid seems to be the most suitable one, albeit weakly disfavored than the $Λ$CDM model. We combine low- and higher-redshift domains through experimental fits based on Monte Carlo Markov Chain procedures, taking into account supernovae Ia catalogue, Hubble measurements and $σ_8$ data points. We consider two model selection criteria to infer the statistical significance of the four models. We conclude there is statistical advantage to handle the Anton-Schmidt fluid with the Grüneisen parameter free to vary and/or fixed to $γ_{\rm G}=-\frac{1}{6}$. The generalized logotropic fluid indicates suitable results, statistically favored than the other models, until the sound speed is positive, becoming unstable in perturbations elsewhere. We emphasize that the $Λ$CDM paradigm works statistically better than any kinds of logotropic and generalized logotropic models, while the Chevallier-Polarski-Linder parametrization is statistically comparable with logotropic scenarios.

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