We present several benchmark tests for Monte Carlo methods
simulating diffusion in one-dimensional discontinuous
media. These benchmark tests aim at studying the potential
bias of the schemes and their impact on the estimation
of micro- or macroscopic quantities
(repartition of masses, fluxes, mean residence time,...).
These benchmark tests are backed by a statistical analysis
to filter out the bias from the unavoidable Monte Carlo error.
We apply them on four different algorithms. The results of the numerical tests give a valuable insight of the fine behavior of these schemes, as well as rules to choose between them.