Polymerization Kinetics Modeled by the Chemical Stochastic Equation

POLYMERIZATION KINETICS MODELED BY THE CHEMICAL STOCHASTIC EQUATION 

The usual kinetic description of polymerization reactions can be written as a series of consecutive reactions, 

The kinetic master equations associated with the reaction mechanism of Eq. (1) can be written as 

For long polymer chains n can be treated as a continuous variable. The polymer length is connected tonasR = nL, where L is the average monomer length. In this case, the expansion of fhe quantities k n l)[P i] up to second order. 

The initiation mechanism is visible in the last term. The boundary conditions for Eq. (4) read 

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