  We use LVDSMC simulations to calculate the second-order temperature jump
coefficient for a dilute gas whose temperature is governed by the Poisson
equation with a constant forcing term. Both the hard sphere gas and the BGK
model of the Boltzmann equation are considered. Our results show that the
temperature jump coefficient is different from the well known linear and steady
case where the temperature is governed by the homogeneous heat conduction
(Laplace) equation.
