Effective boundary forces for several geometries in dissipative particle dynamics

This paper derives the effective force between particles in the framework of dissipative particle dynamics (DPD) by using the formalism discussed by Revenga et al. [Int. J. Mod. Phys. C 9 (1998) 1319]. In order to mimic realistic systems, we obtained explicit expressions for the effective dissipative force and stochastic intensity force for a point DPD particle interacting with a sphere and a cylinder in which both structures are composed by frozen DPD particles (FDPD). Additionally, we analyzed the complex problem of two spheres of FDPD and discussed the relevance of these results in the applications to both, complex geometries and fluids.