论文标题

在关键吸收状态下超出超均匀性的隐藏顺序

Hidden Order Beyond Hyperuniformity in Critical Absorbing States

论文作者

Zheng, Yuanjian, Parmar, Anshul D. S., Ciamarra, Massimo Pica

论文摘要

无序的超均匀性是对点分布中隐藏相关性的描述,该相关性在各种粗粒长度尺度下局部密度的波动中揭示了异常的抑制。在表现出充满活跃状态过渡的模型的吸收阶段中,这种抑制延伸至临界点处分歧的超平均长度尺度。在这里,我们证明了超出超均匀性的其他多体相关性。这些相关性隐藏在局部密度的概率分布的较高矩中,并延伸至更长的长度比例,差异比接近临界点时高度均匀的长度更快。我们的结果表明,在复杂的无序系统中可能存在超出超均匀性的隐藏顺序。

Disordered hyperuniformity is a description of hidden correlations in point distributions revealed by an anomalous suppression in fluctuations of local density at various coarse-graining length scales. In the absorbing phase of models exhibiting an active-absorbing state transition, this suppression extends up to a hyperuniform length scale that diverges at the critical point. Here, we demonstrate the existence of additional many-body correlations beyond hyperuniformity. These correlations are hidden in the higher moments of the probability distribution of the local density, and extend up to a longer length scale with a faster divergence than the hyperuniform length on approaching the critical point. Our results suggest that a hidden order beyond hyperuniformity may generically be present in complex disordered systems.

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