Living polymers in random media: a 2D Monte-Carlo investigation on a square lattice

The evolution of the mean chain length and mean end to end square radius of a two dimensional system of living polymers at constant monomer concentration is studied as a function of the obstacle density . The fact that the system adapts the mean chain length in order to reduce the entropic constraint does not lead to a different asymptotic dependence of on than what is observed for dead polymers. The change of the molecular weight distribution form in the presence of obstacles suggests that a Levy flight could appear in system of wormlike micelles in a porous medium. Received: 1 September 1997 / Received in final form: 22 January 1998 / Accepted: 30 January 1998