The equilibrium of a velocity-Verlet type algorithm for DPD with finite time steps

Dissipative particle dynamics (DPD) originated as a tool for performing fluid dynamics simulations of complex fluids and amongst other things has been used to simulate dilute polymer solutions. The technique employed an Euler time-stepping technique up until recently, when a velocity-Verlet type algorithm was proposed. This paper presents a more accurate velocity-Verlet and analyses the equilibrium properties of this new technique for finite time-steps. An expression for the temperature in terms of the basic DPD parameters is derived for this scheme.