A Mathematical Model of Variation of Fractional Composition of Polybutadiene During its Destruction in Solution Based on the Markov's Chain
The paper describes an approach to the synthesis of a mathematical model of the thermochemical degradation process. A distinctive feature of the approach is the consideration of the destruction process as a random process, which changes the state of the system characterized by a share of macromolecules in each fraction molecular weight distribution. The Markov's chain with discrete states and continuous time is used as the basis of the model. The intensity of the transitions from one state to another one are characterized by the corresponding velocities of the destruction processes for each faction. The assumptions about the absence of processes of crosslinking and polymerization, and the possibility of transition from any fraction with higher molecular weights in any of the faction with lower weights are made. The MathWorks Simulink is used as the simulation environment.