出生、死亡与水平飞行：三维中具有易平面的马尔萨斯群体
Birth, Death, and Horizontal Flight: Malthusian flocks with an easy plane in three dimensions
AI总结：
本文提出三维“Malthusian flocks”理论，研究速度向量偏好平行于同一二维平面的自驱动实体集合，并精确确定了其普适标度指数及相应标度律。
摘要：
我提出了三维“Malthusian flocks”理论，即一致移动的自驱动实体（如生物）集合，在运动中不断“出生”和“死亡”，其成员倾向于速度向量平行于同一二维平面。我精确确定了此类系统的普适标度指数：动力学指数 $z=3/2$，“各向异性”指数 $ζ=3/4$，“粗糙度”指数 $χ=-1/2$，并给出了这些指数所隐含的标度律。
英文摘要：
I formulate the theory of three dimensional "Malthusian flocks" -- i.e., coherently moving collections of self-propelled entities (such as living creatures) which are being "born" and "dying" during their motion -- whose constituents all have a preference for having their velocity vectors lie parallel to the same two-dimensional plane. I determine the universal scaling exponents characterizing such systems exactly, finding that the dynamical exponent $z=3/2$, the "anisotropy" exponent $ζ=3/4$, and the "roughness" exponent $χ=-1/2$. I also give the scaling laws implied by these exponents.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
