The suppression of density fluctuations at different length scales is the hallmark of hyperuniformity. Here, we explore the presence of this hidden order in a manybody interacting model of biological tissue, known to exhibit a transition, or sharp crossover, from a solid to a fluid like phase. We show that the density fluctuations in the rigid phase are only suppressed up to a finite lengthscale. This length scale monotonically increases and grows rapidly as we approach the fluid phase reminiscent to divergent behavior at a critical point, such that the system is effectively hyperuniform in the fluid phase. Furthermore, complementary behavior of the structure factor across the critical point also indicates that hyperuniformity found in the fluid phase is stealthy.

中文翻译：

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在生物组织模型中，刚度过渡时的超均匀性和密度波动。

抑制不同长度尺度的密度波动是超均匀性的标志。在这里，我们探索了生物组织的许多人相互作用模型中这种隐藏顺序的存在，已知该模型表现出从固相到类似流体的过渡或急剧交叉。我们表明，刚性相中的密度波动仅被抑制到有限的长度尺度。当我们接近使人联想到临界点处发散行为的流体相时，该长度尺度单调增加并迅速增长，从而使系统在流体相中有效地超均匀。此外，跨临界点的结构因子的互补行为还表明，在液相中发现的超均匀性是隐身的。