title: Exact solution for a one-dimensional model for reptation.
abstract: We discuss the exact solution for the properties of the recently introduced "necklace" model for reptation. The solution gives the drift velocity, diffusion constant, and renewal time for asymptotically long chains. Its properties are also related to a special case of the Rubinstein-Duke model in one dimension.
authors.affiliation: Institute of Mathematics and Computer Science, Czestochowa University of Technology, ul. Dabrowskiego 73, 42-200 Czestochowa, Poland.
authors.forename: Andrzej
authors.initials: A
authors.lastname: Drzewiński
authors.forename: J M J
authors.initials: JM
authors.lastname: van Leeuwen