论文标题
可压缩极性活性流体中的新型关键现象：功能重新归一化组方法
Novel critical phenomena in compressible polar active fluids: A functional renormalization group approach
论文作者
论文摘要
主动物质不仅与生物和多样化的非平衡系统有关，而且还构成了新型物理学的肥沃基础。实际上，动态重归其化组（DRG）分析已经发现了极性活性流体的许多新通用类（UCS） - 活性物质系统的原型。但是，由于DRG方法中的固有技术困难，几乎所有以前的研究都仅限于不可压缩或无限可压缩的（即马尔萨斯式）限制中的极性活性流体，而当$ε$ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ε$ - 综合量时，将其用于单持续水平。在这里，我们使用功能性重归其化组方法来绕过其中的一些困难，并在可压缩极性活性流体中首次进行新型关键行为，并计算超过一环水平的相应临界指数。具体而言，着眼于系统的多政治区域，我们发现了三个新型UCS，并量化了其附近临界尺寸附近的相关缩放行为$ d_c = 6 $。
Active matter is not only relevant to living matter and diverse nonequilibrium systems, but also constitutes a fertile ground for novel physics. Indeed, dynamic renormalization group (DRG) analyses have uncovered many new universality classes (UCs) in polar active fluids - an archetype of active matter systems. However, due to the inherent technical difficulties in the DRG methodology, almost all previous studies have been restricted to polar active fluids in the incompressible or infinitely compressible (i.e., Malthusian) limits, and, when the $ε$-expansion was used in conjunction, to the one-loop level. Here, we use functional renormalization group methods to bypass some of these difficulties and unveil for the first time novel critical behavior in compressible polar active fluids, and calculate the corresponding critical exponents beyond the one-loop level. Specifically, focusing on a multicritical region of the system, we find three novel UCs and quantify their associate scaling behavior near the upper critical dimension $d_c = 6$.
