论文标题
重新访问两个组件液滴的稳定性问题
Revisiting a stability problem of two-component droplets
论文作者
论文摘要
我们研究了两个组分液滴的稳定性问题。文献中已知的标准解决方案基于平均场能函数的特定形式，尤其是基于硬模式和软模式贡献的区别。通过对将硬模式能量最小化的两个物种的密度施加限制，该问题被简化为对一个组件系统的稳定性分析。与此相比，我们完全一般地解决了这个问题。我们的分析对于任意形式的能量密度有效。我们制定的约束条件与无约束体积并可能蒸发颗粒的系统的物理相关情况相对应。对于两个组件玻色液滴的特定情况，我们找到了近似的分析溶液，并将其与标准结果进行比较。我们表明，与原始独特的解决方案相比，稳定液滴的两个组件的密度都限于范围。
We study the problem of the stability of a two-component droplet. The standard solution known from the literature is based on a particular form of the mean field energy functional, in particular on distinction of hard mode and soft mode contributions. By imposing the constraint on densities of the two species which minimizes the hard mode energy, the problem is reduced to a stability analysis of a one component system. As opposed to this, we address the issue in full generality. Our analysis is valid for arbitrary forms of energy density. We formulate constraints which correspond to the physically relevant situation of a system which has unconstrained volume and may evaporate particles. For the specific case of a two component Bose-Bose droplet we find approximate analytic solutions and compare them to the standard result. We show that the densities of both components of a stable droplet are limited to a range depending on interaction strength, in contrast to the original unique solution.
