Heat transport: Comparison of theory and simulation

Abstract
Recent results for heat transport between parallel plates are compared. Theoretical predictions are obtained from an exact solution to the nonlinear Bhatnagar, Gross, and Krook [Phys. Rev. 94, 511 (1954)] kinetic model for the Boltzmann equation. The temperature profiles are compared with corresponding results from a molecular-dynamics simulation using stochastic boundary conditions. Good agreement is obtained for the wide range of Knudsen numbers and temperature gradients considered, including states far from equilibrium.