In this paper, we study Little Rip (LR) and Pseudo Rip (PR) cosmological models containing two coupled fluids: dark energy and dark matter. We assume a spatially flat Friedmann–Robertson–Walker (FRW) universe. The interaction between the dark energy and the dark matter fluid components is described in terms of the parameters in the generalized Equation of State (EoS) in presence of the bulk viscosity. We consider entropic cosmology and use a description based on a new generalized entropy function, which was proposed by Nojiri–Odintsov–Faraoni [From nonextensive statistics and black hole entropy to the holographic dark universe, Phys. Rev. D105(4) (2022) 044042]. Conditions for the appearance of the (LR) and the (PR) in terms of the parameters of the (EoS) are obtained. Introducing an energy density ${\rho }_g$ corresponding to a specified entropy function $S_g$, together with an interaction term $Q$ in the gravitational equations of motion, we derive modified forms of the EoS parameters. We discuss the corrections of the thermodynamic parameters associated with the generalized entropy function. Properties of the late universe as well as in the early universe in this formalism are pointed out.

在本文中，我们研究了包含两种耦合流体：暗能量和暗物质的小撕裂（LR）和伪撕裂（PR）宇宙学模型。我们假设一个空间平坦的弗里德曼-罗伯逊-沃克（FRW）宇宙。暗能量和暗物质流体成分之间的相互作用是根据存在体积粘度的广义状态方程（EoS）中的参数来描述的。我们考虑熵宇宙学并使用基于新的广义熵函数的描述，该函数由Nojiri-Odintsov-Faraoni提出[从非广延统计和黑洞熵到全息黑暗宇宙，Phys.修订版 D 105 (4) (2022) 044042]。获得了根据(EoS)的参数出现(LR)和(PR)的条件。引入能量密度${\rho }_G$对应于指定的熵函数$S_G$，连同交互项$问$在运动引力方程中，我们推导了 EoS 参数的修改形式。我们讨论与广义熵函数相关的热力学参数的修正。在这种形式主义中指出了晚期宇宙和早期宇宙的性质。