论文标题

粘性$λ$ WDM模型的研究:接近平衡条件,熵产生和宇宙学约束

Study of a viscous $Λ$WDM model: Near equilibrium condition, entropy production, and cosmological constraints

论文作者

Cruz, Norman, González, Esteban, Jovel, Jose

论文摘要

已经探索了$λ$ DM模型的扩展,以面对其框架内发生的当前紧张局势,其中包括扩大暗物质(DM)组件的性质,包括温暖和不完美的流体描述。在本文中,我们研究了最近在[N. Cruz,E。González和J. Jovel,物理。 Rev. d \ textbf {105},024047(2022)],它描述了带有DM组件的粘性温暖$λ$ dm型号($λ$ wdm),该组件遵守状态的多层状态方程(EOS)(EOS),它会以巨大的能量为$ cyportical $ y natectity $ iftical,$ ir cyptigtion $ irformatials $ irformatials $ ir in temportials of dignipative offectipty $ i。该解决方案具有与$λ$ CDM模型非常相似的特殊性,对于$ξ_{0} $的小值,也将在很远的未来中演变为de Sitter类型的扩展。我们首先在ECKART的非完美流体理论的框架中探索该解决方案的热力学一致性,重点是满足以下两个条件:(i)近乎平衡条件和(ii)熵产生的积极性。我们探索模型的参数范围,这些参数允许同时满足这两个条件,发现粘性WDM组件与两者都兼容,从这种意义上讲,从热力学的角度来看,可行的模型。此外,我们以观测数据的到来的超新星IA(SNE IA)和观察性哈勃参数数据(OHD)(ohd)来限制模型的自由参数。(删节)

Extensions to a $Λ$DM model have been explored to face current tensions that occur within its framework, which encompasses broadening the nature of the dark matter (DM) component to include warmness and a non-perfect fluid description. In this paper, we investigated the late-time cosmological evolution of an exact solution recently found in [N. Cruz, E. González, and J. Jovel, Phys. Rev. D \textbf{105}, 024047 (2022)], which describe a viscous warm $Λ$DM model ($Λ$WDM) with a DM component that obeys a polytropic equation of state (EoS), which experience dissipative effects with a bulk viscosity proportional to its energy density, with proportionality constant $ξ_{0}$. This solution has the particularity of having a very similar behavior to the $Λ$CDM model for small values of $ξ_{0}$, evolving also to a de Sitter type expansion in the very far future. We explore firstly the thermodynamic consistences of this solution in the framework of the Eckart's theory of non-perfect fluids, focusing on the fulfillment of the two following conditions: (i) the near equilibrium condition and (ii) the positiveness of the entropy production. We explore the range of parameters of the model that allow to fulfilling these two conditions at the same time, finding that a viscous WDM component is compatible with both ones, being in this sense, a viable model from the thermodynamic point of view. Besides, we constraint the free parameters of the model with the observational data coming form supernovae Ia (SNe Ia) and the observational Hubble parameter data (OHD).(Abridged)

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