宇宙暗流体中的阿基米德型力：II。多阶段宇宙膨胀的定性和数值研究
Archimedean-type force in a cosmic dark fluid: II. Qualitative and numerical study of a multistage Universe expansion
摘要：
在这（第二）部分的工作中，我们提出的数值和定性分析的结果，基于一个新的模型的阿基米德型之间的相互作用暗物质和暗能量。阿基米德型力与暗能量压力的四个梯度成线性关系，在宇宙暗流体中起着能量再分配的自调节作用。由于阿基米德型相互作用，宇宙演化具有多阶段性。根据模型引导参数的值的选择，宇宙的膨胀被证明是永久加速的，周期性的或准周期性的减速/加速时期的有限数量。我们区分的模型，这可以明确的特点是在早期宇宙的膨胀，后期的加速膨胀和非奇异行为的中间时代，并将它们分类的过渡点的数量。当加速参数改变符号时，过渡点出现，提供了宇宙历史的加速和减速膨胀时期的自然划分。通过对与暗能量压力演化关键方程相关联的动力学系统的瞬时相图的定性分析，提出了数值计算的策略和结果。
英文摘要：
In this (second) part of the work we present the results of numerical and qualitative analysis, based on a new model of the Archimedean-type interaction between dark matter and dark energy. The Archimedean-type force is linear in the four-gradient of the dark energy pressure and plays a role of self-regulator of the energy redistribution in a cosmic dark fluid. Because of the Archimedean-type interaction the cosmological evolution is shown to have a multistage character. Depending on the choice of the values of the model guiding parameters,the Universe's expansion is shown to be perpetually accelerated, periodic or quasiperiodic with finite number of deceleration/acceleration epochs. We distinguished the models, which can be definitely characterized by the inflation in the early Universe, by the late-time accelerated expansion and nonsingular behavior in intermediate epochs, and classified them with respect to a number of transition points. Transition points appear, when the acceleration parameter changes the sign, providing the natural partition of the Universe's history into epochs of accelerated and decelerated expansion. The strategy and results of numerical calculations are advocated by the qualitative analysis of the instantaneous phase portraits of the dynamic system associated with the key equation for the dark energy pressure evolution.
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