Low‐variance Deviational Monte Carlo Simulations of Pressure‐driven Flow in Micro‐ and Nanoscale Channels Available to Purchase

We discuss two approaches for simulating pressure‐driven flows for arbitrary Knudsen numbers using the recently‐developed particle method for solving the Boltzmann equation known as Low‐variance Deviational Simulation Monte Carlo [T.M.M. Homolle and N.G. Hadjiconstantinou, “Journal of Computational Physics,” 226, 2341–2358, 2007]. By simulating only the deviation from equilibrium, this method is able to simulate arbitrarily small flow velocities without suffering from the prohibitive statistical uncertainty associated with traditional Monte Carlo methods for solving the Boltzmann equation such as Direct Simulation Monte Carlo (DSMC). Our results were validated by comparison with previous accurate numerical solutions of the Boltzmann equation; very good agreement was observed.