Spurious diffusion in particle simulations of the Kolmogorov flow
Centre for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles
C.P. 231, B-1050 Brussels, Belgium
2 Limburgs Universitair Centrum - B-3590 Diepenbeek, Belgium
Accepted: 19 April 1999
Particle simulations of the Kolmogorov flow are analyzed by the Landau-Lifshitz fluctuating hydrodynamics. It is shown that a spurious diffusion of the center of mass corrupts the statistical properties of the flow. The analytical expression for the corresponding diffusion coefficient is derived.
PACS: 05.40.a – Fluctuation phenomena, random processes, noise, and Brownian motion / 47.20.Ky – Nonlinearity (including bifurcation theory) / 05.90.+m – Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems
© EDP Sciences, 1999