Kinematic nonlinear wave approaches to describing stochastic processes in semiconductors, traffic, and micropore motion in fracture mechanics

Kinematic nonlinear wave models supplemented with empirical dependencies between the basic variables are used to study stochastic spatial phase transition processes in the case of Gunn instability in semiconductors, in traffic with collapses at crossroads, and in micropore motion with macrorupture formation. All these processes have a common mechanism and are similar in the case of the same dependence between the constitutive variables characterizing these physically different processes.