论文标题
平面非相互作用粒子系统中的局部平衡
Local equilibrium in planar non interacting particle systems
论文作者
论文摘要
颗粒通过边界注入大型平面矩形。假设粒子彼此独立移动，并且边界也正在吸收，我们确定了一组抽象条件，这意味着粒子密度在扩散尺度上的局部平衡。我们在两个例子中验证了我们的抽象条件是否存在：IID随机步行和周期性的Lorentz过程。
Particles are injected to a large planar rectangle through the boundary. Assuming that the particles move independently from one another and the boundary is also absorbing, we identify a set of abstract conditions which imply the local equilibrium of the particle density in diffusive scaling limit. We verify that our abstract conditions hold in two examples: iid random walks and the periodic Lorentz process.
