论文标题
边界缓慢的对称纳入过程：流体动力学和静液压学
Symmetric inclusion process with slow boundary: hydrodynamics and hydrostatics
论文作者
论文摘要
我们研究具有缓慢边界的一维开放对称包容过程的水动力和静水限制。根据参数调谐系统与边界的相互作用速率的值，我们获得了带有Dirichlet，Robin或Neumann边界条件的线性热方程作为水动力方程。在我们的方法中，我们将二元性和第一阶级粒子技术结合在一起，以将包含过程的缩放限制降低到单个非相互作用的粒子的限制行为。
We study the hydrodynamic and hydrostatic limits of the one-dimensional open symmetric inclusion process with slow boundary. Depending on the value of the parameter tuning the interaction rate of the bulk of the system with the boundary, we obtain a linear heat equation with either Dirichlet, Robin or Neumann boundary conditions as hydrodynamic equation. In our approach, we combine duality and first-second class particle techniques to reduce the scaling limit of the inclusion process to the limiting behavior of a single, non-interacting, particle.
