无序边界破坏标量活性物质的体相分离
Disordered boundaries destroy bulk phase separation in scalar active matter
摘要：
我们发现，无序边界破坏体积相分离的标量活动系统的尺寸$d<d_c=3$。这与平衡情况形成强烈对比，在平衡情况下，边界对大部分相分离系统没有影响。通过考虑一个局部变形，否则平坦的壁，从无序的边界的情况下，可以推断出的潜在机制。我们发现的密度场的长程相关性，以及一个级联的漩涡，我们表明，防止体相分离在足够低的维度。在密度场是唯一的流体动力学模式的唯一条件下，得到了稀体系以及相互作用的存在下的结果。我们的理论计算验证了微观活性系统的数值模拟。
英文摘要：
We show that disordered boundaries destroy bulk phase separation in scalar active systems in dimension $d<d_c=3$. This is in strong contrast with the equilibrium case where boundaries have no impact on the bulk of phase-separated systems. The underlying mechanism is revealed by considering a localized deformation of an otherwise flat wall, from which the case of a disordered boundary can be inferred. We find long-ranged correlations of the density field as well as a cascade of eddies which we show prevent bulk phase separation in low enough dimensions. The results are derived for dilute systems as well as in the presence of interactions, under the sole condition that the density field is the unique hydrodynamic mode. Our theoretical calculations are validated by numerical simulations of microscopic active systems.
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