论文标题
自我磨碎的未充电薄壳的热力学和动态平衡
Thermodynamical and dynamical equilibrium of a self-gravitating uncharged thin shell
论文作者
论文摘要
在这里比较具有给定状态方程(EOS)的巨大薄壳的动力稳定性(用于正压和非 - 北极病例),结果来自热力学稳定性。我们的结果表明,从热力学稳定性出发的壳体平衡构型的参数空间中的限制比从动力学稳定性获得的限制更为严格。作为副产品,我们提供的证据表明,最大质量沿一系列平衡构型与动态稳定性的发作之间的联系对于$ p = p = p(σ,r)$的EOS有效。
The dynamical stability of massive thin shells with a given equation of state (EOS) is here compared (both for the barotropic and non-barotropic case) with the results coming from thermodynamical stability. Our results show that the restrictions in the parameter space of equilibrium configurations of the shell following from thermodynamical stability are much more stringent that those obtained from dynamical stability. As a byproduct, we furnish evidence that the link between the maximum mass along a sequence of equilibrium configurations and the onset of dynamical stability is valid for EOS of the type $P=P(σ, R)$.