Bistability, Autowaves and Dissipative Structures in Semiconductor Fibers with Anomalous Resistivity Properties

This work provides a discussion of bistability conditions, switching autowaves properties and emergence of dissipative structures in semiconducting fibers with anomalous positive dependence of electrical resistivity on temperature of a sigmoid type, (1+e−T )−1. An open system thermodynamics approach is utilized for the analysis of this dissipative solid-state system. The approach aims to represent the structure of solution space of its governing equation in the form of physical phase diagrams, known as nonequilibrium phase diagrams, and two specific binary diagrams have been obtained here. One of the diagrams, where electrical power density and ambient temperature represent external parameters, shows a wide region with dissipative structures as nonuniform steady state temperature profiles on the fiber. A possibility of efficient external control over dissipative structure geometry is also demonstrated.