新Tsallis全息暗能量
New Tsallis Holographic Dark Energy
摘要：
Tsallis熵是统计理论中Boltzmann-Gibbs熵的推广，它使用参数$δ$来定量测量与标准场景的偏差。利用Tsallis熵和未来事件视界的概念，构造了一个新的Tsallis全息暗能量模型.参数$c$和$δ$将用于表征模型的各个方面。得到了描述有效暗能量密度参数演化的微分方程、状态方程参数和减速参数等各种宇宙学参数的解析表达式。当前模型的状态方程参数表现出纯的quintessence行为的$c>1$，五分行为的$c<1$，而$Λ$ CDM模型恢复为$c=1$。为了分析宇宙的热历史，我们得到了减速参数的表达式，并发现对于$z \approx 0.6$，相位从减速过渡到加速。
英文摘要：
Tsallis entropy is a generalization of the Boltzmann-Gibbs entropy in statistical theory which uses a parameter $δ$ to measure the deviation from the standard scenario quantitatively. Using concepts of Tsallis entropy and future event horizon, we construct a new Tsallis holographic dark energy model. The parameters $c$ and $δ$ will be used to characterize various aspects of the model. Analytical expressions for various cosmological parameters such as the differential equation describing the evolution of the effective dark energy density parameter, the equation of state parameter and the deceleration parameter are obtained. The equation of state parameter for the current model exhibits the pure quintessence behaviour for $c>1$, quintom behaviour for $c<1$ whereas the $Λ$CDM model is recovered for $c=1$. To analyze the thermal history of the universe, we obtained the expression for the deceleration parameter and found that for $z \approx 0.6$, the phase transits from deceleration to acceleration.
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