Exact Solution for a 1-dimensional model for Reptation
  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. 
Andrzej Drzewinski, J. M. J. van Leeuwen