Effective Velocity of the State Switching Front in a Quasi-One-Dimensional Nanosystem upon Multiple New-Phase Domain Formation

The kinetics of state switching fronts plays an important role in controlling nanodevices and the properties of many quasi-one-dimensional objects in physics, chemistry, and biology. In active media, this process is accompanied by the interaction of the state switching front with excitations in the bulk of the material. The propagation of the metastable-state switching front from the sample boundary with the absorption of spontaneously forming new-phase domains in the bulk is considered. The corresponding statistical-kinetic problem is solved by calculating the distribution functions of the "relay-race" path lengths and travel times for the edge-domain boundary. The related problem of the influence of uncontrolled noise on the propagation of signals in transmission lines is discussed.