周期约束下扩散边引起的类玻色-爱因斯坦凝聚
Bose-Einstein-like Condensation due to Diffusivity Edge under Periodic Confinement
摘要：
最近引入了一类标量活性物质，其特征在于在平均场水平上的扩散率在某个阈值密度以上消失[Golestanian R 2019 Phys. Rev. E 100 010601（R）]。在谐波约束的存在下，这种“扩散边缘”被证明会导致基态的凝聚，与相关的过渡表现出形式上的相似性与玻色-爱因斯坦凝聚（BEC）。在这项工作中，扩散率边缘的效果是解决在任意尺寸的周期性电位，系统表现出许多冷凝物之间的共存。使用广义热力学系统的描述，它被发现，BEC的整体现象，即使是有限的能量障碍分离每个相邻的对冷凝物。浅势定量地影响过渡，并引入非普适性的标度指数的值。
英文摘要：
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.
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