An extended dissipative particle dynamics model

Department of Mathematics, Imperial College London 180 Queen's Gate, London SW7 2AZ, UK

Corresponding authors: colin.cotter@imperial.ac.uk, s.reich@imperial.ac.uk

Received: 27 May 2003
Accepted: 13 October 2003

Abstract

The method of dissipative particle dynamics (DPD) was introduced by Hoogerbrugge and Koelman (Europhys. Lett., 19 (1992) 155) to study meso-scale material processes. The theoretical investigation of the DPD method was initiated by Espanol (Phys. Rev. E, 52 (1995) 1734) who used a Fokker-Planck formulation of the DPD method and applied the Mori-Zwanzig projection operator calculus to obtain the equations of hydrodynamics for DPD. A current limitation of DPD is that it requires a clear separation of scales between the resolved and unresolved processes. In this letter, we suggest a simple extension of DPD that allows for inclusion of unresolved stochastic processes with exponentially decaying variance for any value of the decay rate, and give an application of this algorithm to the simulation of the shallow-water equations using the Hamiltonian particle-mesh method. The proposed extension is as easy to implement as the standard DPD methods.