We study the hydrodynamic and hydrostatic limits of one-dimensional open symmetric inclusion process with slow boundary. Depending on value parameter tuning interaction rate bulk system boundary, we obtain a linear heat equation either Dirichlet, Robin or Neumann boundary conditions as equation. In our approach, combine duality first-second class particle techniques to reduce scaling limit limi...

Dense granular clusters often behave like macroparticles. We address this interesting phenomenon in a model system of inelastically colliding hard disks inside a circular box, driven by a thermal wall at zero gravity. Molecular dynamics simulations show a close-packed cluster of an almost circular shape, weakly fluctuating in space and isolated from the driving wall by a low-density gas. The de...