arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0711.3791astro-ph
收藏

暗物质晕:速度各向异性--密度斜率关系

Dark Matter Halos: Velocity Anisotropy -- Density Slope Relation

Amir Zait, Yehuda Hoffman, Isaac Shlosman

摘要:

在CDM宇宙学中形成的暗物质(DM)晕似乎具有幂律相空间密度分布的特征。DM晕的密度通常由NFW剖面拟合,但更好的拟合由Sersic拟合公式提供。这些关系是从宇宙学模拟结构形成的经验,但尚未解释的第一原则的基础上。在这里,我们解决了Jeans方程的假设下,一个球形DM晕在动态平衡,服从幂律相空间密度和NFW样或Sersic密度分布。然后,我们计算速度各向异性,β(r),解析。我们的主要结果是,对于NFW样的配置文件的β-γ关系是不是一个线性的(其中伽玛是对数导数的密度ρ [r])。β(r)的形状主要取决于NFW尺度半径R_s内引力能与动能的比值。对于Sersic分布,恢复线性β-γ关系,并且特别地对于n = 6.0的Sersic指数情况,再现Hansen & Moore的线性拟合。我们的主要结果是,相空间密度幂律,Sersic密度形式和线性β-γ依赖性构成了一组一致的关系,服从球形Jeans方程,并因此提供了DM晕的动力学建模的框架。

英文摘要:

Dark matter (DM) halos formed in CDM cosmologies seem to be characterized by a power law phase-space density profile. The density of the DM halos is often fitted by the NFW profile but a better fit is provided by the Sersic fitting formula. These relations are empirically derived from cosmological simulations of structure formation but have not yet been explained on a first principle basis. Here we solve the Jeans equation under the assumption of a spherical DM halo in dynamical equilibrium, that obeys a power law phase space density and either the NFW-like or the Sersic density profile. We then calculate the velocity anisotropy, beta(r), analytically. Our main result is that for the NFW-like profile the beta - gamma relation is not a linear one (where gamma is the logarithmic derivative of the density rho[r]). The shape of beta(r) depends mostly on the ratio of the gravitational to kinetic energy within the NFW scale radius R_s. For the Sersic profile a linear beta - gamma relation is recovered, and in particular for the Sersic index of n = 6.0 case the linear fit of Hansen & Moore is reproduced. Our main result is that the phase-space density power law, the Sersic density form and the linear beta - gamma dependence constitute a consistent set of relations which obey the spherical Jeans equation and as such provide the framework for the dynamical modeling of DM halos.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑