Showing papers by "Robert M. Mazo published in 1987"
TL;DR: In this article, a generalized Taylor dispersion for reflecting boundaries is extended to the case of periodic boundary conditions, and an explicit expression for the dispersion is presented; this is never greater than the corresponding system with reflecting boundaries, and applications to chromatography with chemical reaction and anomalous diffusion are made.
Abstract: Previous work on dispersion of particles in N‐layer systems (generalized Taylor dispersion) for reflecting boundaries is extended to the case of periodic boundary conditions. An explicit expression for the dispersion is presented; this is never greater than the dispersion for the corresponding system with reflecting boundaries. Applications to chromatography with chemical reaction and to anomalous diffusion are made.
6 citations
01 Dec 1987
TL;DR: The Green’s function for a symmetrical random walk in one dimension is here explicitly given in closed form for reflecting, periodic, and absorbing boundaries, and also for an infinite lattice.
Abstract: The Green’s function of a random walk on a lattice is defined as the inverse of the operatorK-z1, whereK is the matrix of transition rates and z is an arbitrary complex parameter. The Green’s function for a symmetrical random walk in one dimension is here explicitly given in closed form for reflecting, periodic, and absorbing boundaries, and also for an infinite lattice.
3 citations