星团多分量模型中的重力热振荡
Gravothermal oscillations in multi-component models of star clusters
摘要：
本文研究了具有幂律初始质量函数（IMF）的多分量星团中的重力热振荡。对于幂律IMF，最小质量（$m_{min}$）是固定的，三个不同的最大恒星质量（$m_{max}$）与不同的幂律指数（$α$）一起使用，范围从0到-2.35（Salpeter）。使用多组分气体代码SPEDI发现了重力热振荡随着$N$的增加而首次出现的临界恒星数。总质量（$M_{tot}$）被认为是一个近似的稳定性条件的幂律IMF与固定值的$m_{max}$和$m_{min}$独立于$α$。示出的值$M_{tot}/m_{max} \simeq 12000$给出了一个近似的稳定性条件，这也是独立的$m_{max}$，虽然临界值是有点高的最陡峭的IMF的研究。对于适当选择的情况下，直接N体运行进行，以检查从SPEDI获得的结果。最后，在N-体运行中发现的振荡的重力热性质的证据。
英文摘要：
In this paper, gravothermal oscillations are investigated in multi-component star clusters which have power law initial mass functions (IMF). For the power law IMFs, the minimum masses ($m_{min}$) were fixed and three different maximum stellar masses ($m_{max}$) were used along with different power-law exponents ($α$) ranging from 0 to -2.35 (Salpeter). The critical number of stars at which gravothermal oscillations first appear with increasing $N$ was found using the multi-component gas code SPEDI. The total mass ($M_{tot}$) is seen to give an approximate stability condition for power law IMFs with fixed values of $m_{max}$ and $m_{min}$ independent of $α$. The value $M_{tot}/m_{max} \simeq 12000$ is shown to give an approximate stability condition which is also independent of $m_{max}$, though the critical value is somewhat higher for the steepest IMF that was studied. For appropriately chosen cases, direct N-body runs were carried out in order to check the results obtained from SPEDI. Finally, evidence of the gravothermal nature of the oscillations found in the N-body runs is presented.
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