Parameters of Lateral and Unsteady Cord Currents in a Cylindrical Chalcogenide Glassy Semiconductor

Current Filamentation and Switching Effect in Chalcogenide Glassy Semiconductors: A Review

“…Sovtus et al [8] later derived an approximate formula that described analytically the distribution of heat in such a model, taking into account time and coordinates, and have shown that the temperature in this model has the form:…”

“…In Refs. [7,8] it was suggested that as a result of current filamentation, the temperature at the center of the filament for a film with a thickness of 1 μm might reach 1000 °C. However, when performing calculations, the value of the activation energy ΔE had to be taken smaller than that obtained experimentally for the sake of achieving the agreement between the calculations and the experimental data.…”

“…For example, in Ref. [8] it was proposed to find the second derivative with respect to the radial coordinate to determine the boundaries of a steady-state filament. It was assumed that in the coordinate that describes the filament boundary, the heat flux proportional to the first derivative and going along the radial coordinate, will have maximum value.…”