Abstract
This work provides a discussion of bistability conditions, switching autowave properties and emergence of dissipative structures in semiconducting fibers with anomalous positive dependence of electrical resistivity on temperature of 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 the solution space of its governing equation in the form of physical phase diagrams, known as non-equilibrium phase diagrams, and two specific binary diagrams have been obtained here. One of the diagrams, where the electrical power density and ambient temperature represent external parameters, shows a wide region with dissipative structures as non-uniform steady-state temperature profiles on the fiber. The possibility of efficient external control over the dissipative structure geometry is also demonstrated.
Highlights
A significant volume of recent research publications point out on the ability of inorganic systems to demonstrate some generic forms of emerging synergetic behavior that were earlier attributed to living organisms only. This behavior is represented by the processes of temporal evolution, self-organization and complication in highly inequilibrium physical systems given a sufficient inflow of energy and building material
With the formation of stable nonuniform patterns, known as dissipative structures [2, 3], the open system undergoes a transition to a new physical phase often allowing for a greater energy throughput compared to the states with uniform system parameters
In this paper we explore conditions on bistability, nonequilibrium phase transitions, and emergence of dissipative structures in a simple type of material systems: resistively heated prismatic semiconductor fibers with a highly nonlinear positive dependence of electrical resistivity on temperature
Summary
A significant volume of recent research publications point out on the ability of inorganic systems to demonstrate some generic forms of emerging synergetic behavior that were earlier attributed to living organisms only. With the formation of stable nonuniform patterns, known as dissipative structures [2, 3], the open system undergoes a transition to a new physical phase often allowing for a greater energy throughput compared to the states with uniform system parameters. Such transitions are sometimes called nonequilibrium phase transitions and the system demonstrating those, the active system or active medium. The final goal is to represent solution space structure of nonlinear governing equations for this open dissipative system in the form of physical phase diagrams, using both analytical and numerical techniques
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