The purpose of this work is to examine the cosmic evolution in the presence of collisional matter (CM) with and without radiations in a modified Teleparallel theory involving a generic function [Formula: see text] which depends on the scalar torsion [Formula: see text] and the boundary term associated to the divergence of torsion [Formula: see text]. We select seven novel [Formula: see text] models including power law, logarithmic models and exponential models, some of these reported in [S. Bahamonde, M. Zubair and G. Abbas, Phys. Dark Univ. 19 (2018) 78; S. Bahamonde and S. Capozziello, The Eur. Phys. J. C. 77 (2017) 107; C. Escamilla-Rivera and J. L. Said, Class. Quantum Grav. 37 (2020) 165002] and discuss the evolutionary scenario. The behavior of deceleration parameter [Formula: see text], Hubble parameter [Formula: see text], Equation-of-state (EoS) for dark energy (DE) and effective EoS is presented. [Formula: see text]CDM epoch and crossing of phantom divide line (approaching to phantom era) is observed in scenarios like noncollisional matter (NCM) with radiation, CM with and without radiation. Results are found to be adequate with recent cosmic observations.

中文翻译：

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碰撞物质在扩展遥平行理论框架中的作用

这项工作的目的是在涉及一个通用函数 [公式：见文本] 的修改的远程平行理论中检查存在有和没有辐射的碰撞物质 (CM) 的宇宙演化，该函数取决于标量扭转 [公式：见文本]和与扭转散度相关的边界项[公式：见正文]。我们选择了七种新颖的 [公式：见正文] 模型，包括幂律、对数模型和指数模型，其中一些在 [S. Bahamonde，M. Zubair 和 G. Abbas，Phys。黑暗大学 19（2018）78；S. Bahamonde 和 S. Capozziello，《欧洲》。物理。JC 77（2017）107；C. Escamilla-Rivera 和 JL Said，班级。量子引力 37 (2020) 165002] 并讨论进化情景。减速参数[公式：见正文]、哈勃参数[公式：见正文]的行为，提出了暗能量 (DE) 和有效 EoS 的状态方程 (EoS)。【公式：见正文】在有辐射的非碰撞物质（NCM）、有辐射和无辐射的CM等场景中观察到CDM时代和幻象分界线的交叉（接近幻象时代）。发现结果与最近的宇宙观测相吻合。