A stochastic Trotter integration scheme for dissipative particle dynamics

Details A stochastic Trotter integration scheme for dissipative particle dynamics A stochastic Trotter integration scheme for dissipative particle dynamics

2006-02-22

arxiv.org/abs/cond-mat/0602523v1

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

In this article we show in details the derivation of an integration scheme for the dissipative particle dynamic model (DPD) using the stochastic Trotter formula [De Fabritiis et al., Physica A, 361, 429 (2006)]. We explain some subtleties due to the stochastic character of the equations and exploit analyticity in some interesting parts of the dynamics. The DPD-Trotter integrator demonstrates the inexistence of spurious spatial correlations in the radial distribution function for an ideal gas equation of state. We also compare our numerical integrator to other available DPD integration schemes.

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