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arXiv 2210.02783astro-ph.SR
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恒星振荡中的拓扑模

Topological modes in stellar oscillations

Armand Leclerc, Guillaume Laibe, Pierre Delplace, Antoine Venaille, Nicolas Perez

摘要:

恒星的振荡可以是拓扑学的起源。我们通过在恒星和拓扑绝缘体之间建立一个新的平行关系,揭示了恒星的这种深层次的、迄今为止隐藏的性质。我们构造了一个厄米特问题,导出了恒星非径向绝热脉动的$\mathrm{\textit{acoustic-buoyant}}$频率$S$的表达式。拓扑分析,然后连接的声浮力频率的存在的羔羊般的波内的恒星的符号的变化。这些拓扑模式跨越频率间隙,在低调和度$\ell$下表现为重力模式,在高调和度$\ell$下表现为压力模式。$S$被发现在大多数恒星物体中至少改变一次符号,使得拓扑模式在赫兹-罗素图中无处不在。一些拓扑模式也被困在内部结构强烈变化的区域。

英文摘要:

Stellar oscillations can be of topological origin. We reveal this deep and so-far hidden property of stars by establishing a novel parallel between stars and topological insulators. We construct an hermitian problem to derive the expression of the stellar $\mathrm{\textit{acoustic-buoyant}}$ frequency $S$ of non-radial adiabatic pulsations. A topological analysis then connects the changes of sign of the acoustic-buoyant frequency to the existence of Lamb-like waves within the star. These topological modes cross the frequency gap and behave as gravity modes at low harmonic degree $\ell$ and as pressure modes at high $\ell$. $S$ is found to change sign at least once in the bulk of most stellar objects, making topological modes ubiquitous across the Hertzsprung-Russel diagram. Some topological modes are also expected to be trapped in regions where the internal structure varies strongly locally.

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