SELF-ORGANIZATION IN GROWTH OF BRANCHED POLYMERS

We propose a growth mechanism for branched polymers where self-organiz ation leads the system to criticality. By incorporating a dynamical ru le which simply regulates the flux of monomers available for aggregati on, the system is spontaneously driven to the critical branching proba bility which separates the finite from infinite growth regimes. The fa ct that the system reaches and maintains itself close to a critical st ate without the need of a fine tuning of the parameters is thus discus sed in terms of the self-organized criticality (SOC) concept. Finally, we also demonstrate the feasibility of the method in association with a practical implementation of the theoretical model.