Particle-based mesoscale hydrodynamic techniques

¹  Institut für Festkörperforschung, Forschungszentrum Jülich - 52425 Jülich, Germany
²  Fachbereich Physik, Martin-Luther-Universität Halle-Wittenberg - D-06099 Halle, Germany

Corresponding author: hi.noguchi@fz-juelich.de

Received: 31 October 2006
Accepted: 12 February 2007

Abstract

Dissipative particle dynamics (DPD) and multi-particle collision (MPC) dynamics are powerful tools to study mesoscale hydrodynamic phenomena accompanied by thermal fluctuations. To understand the relations of these types of mesoscale simulation techniques in more detail, we propose two new methods, which are intermediate between DPD and MPC —DPD with multibody thermostat (DPD-MT), and MPC-Langevin dynamics (MPC-LD). The key features are applying a Langevin thermostat to the relative velocities of pairs of particles or multi-particle collisions, and whether or not to employ collision cells. The viscosity of MPC-LD is derived analytically, in very good agreement with the results of numerical simulations.