论文标题
在lambda-CDM和动态暗能量的暗物质的临界加速度范围内
On a critical acceleration scale of dark matter in Lambda-CDM and dynamical dark energy
论文作者
论文摘要
通用加速$ a_0 $在各种经验法中出现，但其基本性质尚不清楚。使用Illustris和处女座N体模拟，我们建议$ A_0 $是无碰撞暗物质涉及远距离重力的加速度波动的规模。相反，在气体动力学理论中，分子经历涉及短距离相互作用的随机弹性碰撞，其中只有速度波动是相关的。我们确定与磁性和鹰模拟良好一致的红移演化$ a_0 \ propto（1+z）^{3/4} $，并且与有限的观察结果合理地达成一致。这表明在较高的红移时增加了较大的$ a_0 $，以便固定的重型质量质量的星系在更高的红移下更快地旋转。速度波动涉及关键速度$ u_c \ propto（1+z）^{ - 3/4} $。加速度波动涉及关键加速度$ a_c \ propto（1+z）^{3/4} $。两个关键数量与能量级联$ \ VAREPSILON_ {U} \ oft - {a_c u_c/[2（3π）^2]} $相关，其中因子$3π$来自入射角和$ \ \ \ \\ varepsilon_u \ $ \ varepsilon_u \ oft -bout-10^ - 10^{ - 7}^{ - 7} $ m $ m $ m $^2 $/在$ z = 0 $的300 km/s的临界速度$ u_c $下，确定临界加速度为$ a_ {c0} \ equiv e equiv a_c（z = 0）\ of 10^{ - 10} $ m/s $^2 $经验的塔利 - 法派关系或修改后的牛顿动力学（MOND）。请注意，暗能量（de）密度$ρ_{de0} \ of of {a_ {a_ {c0}^{2}/g} = 10^{ - 10} $ j/m $^3 $，我们假设在类似于暗物质的加速度的黑物质上，以类似于气压的气压从效果上产生了黑物质的侵入性。这导致了动态的暗能量与结构演化相结合，涉及相对恒定的DE密度，然后缓慢弱化的相位，这表明可能与标准$λ$ CDM的偏差。
Universal acceleration $a_0$ emerges in various empirical laws, yet its fundamental nature remains unclear. Using Illustris and Virgo N-body simulations, we propose $a_0$ is the scale of acceleration fluctuations in collisionless dark matter involving long-range gravity. In contrast, in the kinetic theory of gases, molecules undergo random elastic collisions involving short-range interactions, where only velocity fluctuations are relevant. We identify the redshift evolution $a_0\propto (1+z)^{3/4}$ that is in good agreement with Magneticum and EAGLE simulations and in reasonable agreement with limited observations. This suggests a larger $a_0$ at a higher redshift such that galaxies of fixed baryonic mass rotate faster at a higher redshift. The velocity fluctuations involve a critical velocity $u_c\propto (1+z)^{-3/4}$. The acceleration fluctuations involve a critical acceleration $a_c\propto (1+z)^{3/4}$. Two critical quantities are related by the rate of energy cascade $\varepsilon_{u}\approx -{a_c u_c/[2(3π)^2]}$, where factor $3π$ is from the angle of incidence and $\varepsilon_u\approx -10^{-7}$m$^2$/s$^3$. With critical velocity $u_c$ on the order of 300 km/s at $z=0$, the critical acceleration is determined to be $a_{c0}\equiv a_c(z=0) \approx 10^{-10}$m/s$^2$, suggesting $a_c$ might explain the universal acceleration $a_0\approx 10^{-10}$m/s$^2$ in the empirical Tully-Fisher relation or modified Newtonian dynamics (MOND). Note that dark energy (DE) density $ρ_{DE0}\approx {a_{c0}^{2}/G}=10^{-10}$J/m$^3$, we postulate an entropic origin of the dark energy from acceleration fluctuations of dark matter, in analogy to the gas pressure from velocity fluctuations. This leads to a dynamical dark energy coupled to the structure evolution involving a relatively constant DE density followed by a slow weakening phase, suggesting possible deviations from the standard $Λ$CDM.
