标题： 一种微观可逆的群体运动动力学理论 显示英文标题

标题： A microscopically reversible kinetic theory of flocking

摘要： 我们提出了两种硬球的动能理论，它们可以发生将化学能转化为动能的碰撞。 由于这两种物种代表鸟类和空气，这种反应性碰撞模拟了鸟类拍打翅膀，从而实现其推进。 我们要求反应性碰撞具有微观可逆性。 然后我们引入一个化学稳定器来使系统远离平衡。 当化学稳定器被充分开启并且仅限制于轻微的种间碰撞时，动量阻尼项可以转变为动量增长项，暗示着 flocking 转变的发生。 显示英文摘要

摘要： We formulate a kinetic theory of two species of hard spheres which can undergo collisions converting chemical energy into kinetic energy. As the two species represent birds and air, this reactive collision mimics birds flapping their wings, allowing for their propulsion. We demand microscopic reversibility of the reactive collisions. We then introduce a chemostat to drive the system out of equilibrium. When the chemostat is sufficiently turned on and one restricts to grazing interspecies collisions, the momentum damping term can turn into a momentum growth term, hinting at a flocking transition.