马尔萨斯鸟群中的真长程有序与准长程有序
True and Quasi Long-Range Order in Malthusian Flocks
AI总结：
本研究针对带周转的极性活性物质（马尔萨斯鸟群），采用非微扰重整化群方法，明确其相图，得到真长程有序的强耦合不动点，揭示准长程有序相及特殊临界点，完善了该体系的非线性标度行为认知。
AI中文摘要：
生命物质会经历持续的周转过程。马尔萨斯鸟群的流体动力学理论描述了带周转的极性活性物质，但其相图和非线性标度行为尚未被充分理解。采用非微扰重整化群方法（该方法在导数二阶下旋转不变且无缺陷），我们明确得到支配真长程有序的强耦合不动点，揭示了准长程有序相，并在相变处识别出与Berezinskii-Kosterlitz-Thouless普适类相似但有区别的临界点。
英文摘要：
Living matter undergoes continuous turnover. The hydrodynamic theory of Malthusian flocks describes polar active matter with turnover, but its phase diagram and nonlinear scaling behavior is not well understood. Using a nonperturbative renormalization group approach, rotationally invariant to second order in derivatives, and without defects, we explicitly obtain the strong-coupling fixed point governing true long-range order, uncover a quasi long-range ordered phase, and identify a critical point similar to, but distinct from the Berezinskii-Kosterlitz-Thouless universality class at the transition.
