Responsive Particle Dynamics for Modeling Solvents on the Mesoscopic Scale

In this chapter we will review the standard ways to perform stochastic simulations on soft matter without memory. In order to make these methods available for very concentrated complex polymeric soft matter in which the particles experience large frictions we will extend these models to include memory and hydrodynamics at the Brownian level. This allows us to study flow instabilities and even flow in complex geometries