Abstract
The evolution of the mean chain length $$\langle L\rangle $$ and mean end to end square radius $$\langle R_e^2\rangle $$ of a two dimensional system of living polymers at constant monomer concentration is studied as a function of the obstacle density $$\rho $$ . The fact that the system adapts the mean chain length $$\langle L\rangle $$ in order to reduce the entropic constraint does not lead to a different asymptotic dependence of $$\langle R_e^2\rangle $$ on $$\rho $$ 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.
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