论文标题
移动，繁殖和垂死在平地之外：尺寸的马尔萨斯羊群$ d> 2 $
Moving, reproducing, and dying beyond Flatland: Malthusian flocks in dimensions $d>2$
论文作者
论文摘要
我们表明，“马尔萨斯羊群”（即，在动作过程中都“出生”和“垂死”的自propelled实体（例如生物）的一致移动的集合属于空间维度$ d> 2 $。我们将这种新通用类别的通用指数和缩放定律计算为$ε= 4-D $扩展中的$ O（ε）$，发现它们与以前猜想的“不朽”羊群（即没有出生和死亡的人）的“规范”指数不同，并以$ d $ d> 2 $ d> 2 $ d> 2 $ d> $ d> 2 $。我们的扩展应在$ d = 3 $中非常准确，可以在我们的理论，模拟和实验之间进行精确的定量比较。
We show that "Malthusian flocks" -- i.e., coherently moving collections of self-propelled entities (such as living creatures) which are being "born" and "dying" during their motion -- belong to a new universality class in spatial dimensions $d>2$. We calculate the universal exponents and scaling laws of this new universality class to $O(ε)$ in an $ε=4-d$ expansion, and find these are different from the "canonical" exponents previously conjectured to hold for "immortal" flocks (i.e., those without birth and death) and shown to hold for incompressible flocks in $d>2$. Our expansion should be quite accurate in $d=3$, allowing precise quantitative comparisons between our theory, simulations, and experiments.
