The problem of effusion is studied using Monte Carlo simulations and scaling analysis. Particles confined to the interior of a container undergo a random walk with step size δ. If a hole is opened in one of the container walls, an outgoing diffusive current of particles will exit through it....

Random walk in a one-dimensional system with a thin membrane (which is treated as a partially permeable wall with its internal structure being not explicitly involved into our considerations) is discussed for the discrete and continuous time and space variables. The Green's functions of the...