Towards better integrators for dissipative particle dynamics simulations

Integration schemes for dissipative particle dynamics simulations: From softly interacting systems towards hybrid models

Dissipative Particle Dynamics simulation hydrated Nafion EW 1200 as fuel cell membrane in nanoscopic scale

The microphase separation of hydrated perfluorinated sulfonic acid membrane Nafion was investigated using Dissipative Particle Dynamics (DPD). The nafion as a polymer was modelled by connecting coarse grained beads which corresponds to the hydrophobic backbone of polytetrafluoroethylene and perfluorinated side chains terminated by hydrophilic end particles of sulfonic acid groups [1, 2]. Each f...

Efficient numerical integrators for stochastic models

The efficient simulation of models defined in terms of stochastic differential equations (SDEs) depends critically on an efficient integration scheme. In this article, we investigate under which conditions the integration schemes for general SDEs can be derived using the Trotter expansion. It follows that, in the stochastic case, some care is required in splitting the stochastic generator. We t...

A family of time-staggered schemes for integrating hybrid DPD models for polymers: Algorithms and applications

We propose new schemes for integrating the stochastic differential equations of dissipative particle dynamics (DPD) in simulations of dilute polymer solutions. The hybrid DPD models consist of hard potentials that describe the microscopic dynamics of polymers and soft potentials that describe the mesoscopic dynamics of the solvent. In particular, we develop extensions to the velocity-Verlet and...

Targeted Mollified Impulse: A Multiscale Stochastic Integrator for Long Molecular Dynamics Simulations

Molecular dynamics (MD) is widely used in simulations of biomolecular systems such as DNA and proteins, systems which are multiscale in nature. However, current time stepping integrators are not able to address the time scale problems. Multiscale integrators, in which the presence of “fast” modes does not affect the time integration of “slow” modes, are pressingly needed in light of the fast gr...