The workshop will bring researchers from different disciplinaries around the world to share and discuss their current research and ideas. There will also be discussions on relevant mathematical theories and techniques associated with these topics, such as differential variational approaches; nonlocal diffusion, including fractional Laplacian and other nonlocal interactions; different diffusion limits of kinetic descriptions of charged particles; various coarse graining methods, such as Mori-Zwanzig methods, closure methods, normal modes analysis, homogenization and nonlinear Galerkin methods; regularities, stability and singular limits, fast numerical algorithms and solvers.