Effective Velocity of Propagation of a Domain Wall in 1D Nanosystem with Multiple Nucleation of Domains at Active Centers

State switching processes play an important role in the control of nanodevices and properties of many quasi-one-dimensional objects in physics, chemistry and biology. The paper considers the propagation of the state switching front from the sample boundary with the absorption of the emerging domains of the new phase at active centers in the bulk. The corresponding statistical-kinetic problem is solved with the calculation of the generating function of the distribution of domain wall positions, by means of which the average values of the “relay” runs are calculated.