Evolution Dynamic Equations of Dislocation Density

We regard the proliferation, the annihilating and the mutual reactions of the dislocations as chemical reactions, dislocations under action of heat activation will have properties of diffusion. Therefore a dislocation system is a reaction-diffusion system. Two equations of evolution dynamics for dislocation density are given based on the self-organization theory, in which the first equation will be transformed to the second equation when the structure imbalance of the system happened. The first equation contains the symmetry-breaking which will launch doublet according to Higgs mechanism.