论文标题
在周期性限制下，由于扩散率边缘引起的类似玻色的凝结
Bose-Einstein-like Condensation due to Diffusivity Edge under Periodic Confinement
论文作者
论文摘要
最近引入了一类通用的标量活动物质在平均场水平上以超过一定阈值密度消失的扩散为特征[Golestanian R 2019 Phys。 Rev. E 100 010601（R）]。在存在谐波限制的情况下，这种“扩散率边缘”被证明导致基态凝结，相关的过渡与Bose-Einstein凝结（BEC）表现出形式上的相似性。在这项工作中，在任意维度的周期性潜力中解决了扩散率边缘的效果，其中系统在许多冷凝物之间表现出共存。使用对系统的广义热力学描述，发现BEC的总体现象学甚至用于将每个相邻的冷凝物分隔的有限能屏障。浅层电位显示出对过渡的定量影响，并在缩放指数的值中引入非宇宙性。
A generic class of scalar active matter, characterized at the mean field level by the diffusivity vanishing above some threshold density, was recently introduced [Golestanian R 2019 Phys. Rev. E 100 010601(R)]. In the presence of harmonic confinement, such 'diffusivity edge' was shown to lead to condensation in the ground state, with the associated transition exhibiting formal similarities with Bose-Einstein condensation (BEC). In this work, the effect of a diffusivity edge is addressed in a periodic potential in arbitrary dimensions, where the system exhibits coexistence between many condensates. Using a generalized thermodynamic description of the system, it is found that the overall phenomenology of BEC holds even for finite energy barriers separating each neighbouring pair of condensates. Shallow potentials are shown to quantitatively affect the transition, and introduce non-universality in the values of the scaling exponents.
