Cell size dependence of transport coefficients in stochastic particle algorithms

• DOI: 10.1063/1.869674
• Publication Date: 2002-07-26T12:02:25Z
• Authors: Francis J. Alexander; Alejandro L. Garcia; Berni J. Alder
• Keywords: Boltzmann constant; Particle (ecology); Kubo formula

Using the Green–Kubo theory, dependence of viscosity and thermal conductivity on cell size is obtained explicitly for stochastic particle methods such as direct simulation Monte Carlo (DSMC) its generalization, consistent Boltzmann algorithm (CBA). These analytical results confirm empirical observations that significant errors occur when dimensions are larger than a mean free path.