Title
A stochastic Trotter integration scheme for dissipative particle dynamics
Abstract
In this article we show in detail the derivation of an integration scheme for the dissipative particle dynamic model (DPD) using the stochastic Trotter formula [G. De Fabritiis, M. Serrano, P. Español, P.V. Coveney, Phys. A 361 (2006) 429]. 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.
Year
DOI
Venue
2006
10.1016/j.matcom.2006.05.019
Mathematics and Computers in Simulation
Keywords
Field
DocType
numerical integrator,dissipative particle,integration scheme,trotter stochastic formula,02.50.-r,stochastic trotter formula,m. serrano,stochastic character,dissipative particle dynamics,dissipative particle dynamics pacs: 05.40.-a,05.40.-a,p. espa,g. de fabritiis,dpd-trotter integrator,stochastic trotter integration scheme,05.10.-a,dissipative particle dynamic,available dpd integration scheme,equation of state,spatial correlation,numerical integration,simulation,algorithm
Statistical physics,Equation of state,Mathematical optimization,Dissipative particle dynamics,Dissipative system,Integrator,Radial distribution function,Spurious relationship,Mathematics
Journal
Volume
Issue
ISSN
72
2-6
Mathematics and Computers in Simulation
Citations 
PageRank 
References 
11
1.51
0
Authors
4
Name
Order
Citations
PageRank
Mar Serrano1265.80
Gianni De Fabritiis210313.46
P. Español3111.85
P. V. Coveney4335.99