%0 Journal Article
%T The eigenpairs of a Sylvester-Kac type matrix associated with a simple model for one-dimensional deposition and evaporation
%A C. M. da Fonseca
%A Dan A. Mazilu
%A Irina Mazilu
%A H. Thomas Williams
%J Physics
%D 2013
%I arXiv
%X A straightforward model for deposition and evaporation on discrete cells of a finite array of any dimension leads to a matrix equation involving a Sylvester-Kac type matrix. The eigenvalues and eigenvectors of the general matrix are determined for an arbitrary number of cells. A variety of models to which this solution may be applied are discussed.
%U http://arxiv.org/abs/1306.3713v1