降低的非广延恒星分布
Lowered Nonextensive Stellar Distribution
摘要：
本文从非广延动力学理论出发，通过一类新的低层模型，统一地描述了球状星团和椭圆星系的结构。这些幂律模型由一个参数q来指定，该参数q量化了它们在多大程度上偏离了Michie和King讨论的降低的恒星分布。当q等于1时，恢复了K-K分布。然而，对于小于1的q有一个逐渐修改的形状的密度分布，这取决于对模型施加的潮汐损害的程度，从而也提供了一个很好的适合球状星团。它还表明，这些模型的一个子类，那些具有更深的潜力和$q$略小于团结，目前的分布类似的德Vaucoulers $r^{1/4}$配置文件，产生一个很好的描述椭圆星系的结构。这个模型子集遵循这一趋势，在近10个数量级上略有偏离。
英文摘要：
The structure of globular clusters and elliptical galaxies are described in an unified way through a new class of lowered models inspired on the nonextensive kinetic theory. These power law models are specified by a single parameter q which quantifies to what extent they depart from the class of lowered stellar distributions discussed by Michie and King. For q equal to unity, the Michie-King profiles are recovered. However, for q smaller than unity there is a gradual modification in the shape of the density profiles which depends on the degree of tidal damage imposed on the model, thereby also providing a good fit for globular clusters. It is also shown that a subclass of these models, those with a deeper potential and $q$ slightly less than unity, present a distribution resembling the de Vaucoulers $r^{1/4}$ profile which yields a good description of the structure of elliptical galaxies. This subset of models follows this trend, with a slight departure over nearly 10 orders of magnitudes.
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