Microscopic filamentation due to electrothermal instability and plasma heating in time-dependent solar transition layer

Nonlinear equilibrium states of a microscopic current filamentation (electrothermal instability) in the solar atmosphere are explored. This phenomenon occurs for transition zone ion temperature plasmas provided that the electron to ion temperature ratio exceeds 1. It is shown that when the onset condition for the electrothermal instability is satisfied, the instability drives a current filamentation to a nonlinear equilibrium state that has a spatially periodic electron temperature variation with wavelength.