Examination of the Thermal Equilibrium Assumption in the Microscopic Parabolic Heat Conduction Model Under the Effect of Two Types of Heating Sources

Abstract

The validity of using the microscopic parabolic heat conduction model under the effect of two types of volumetric heating sources is investigated analytically. The considered volumetric heating sources are a fluctuating periodic source and a unit step source of short duration. Also, the role of the electron gas thermal capacity term is investigated. Criteria are derived to show the necessity of using the microscopic parabolic heat conduction model. Other criteria are derived to show a justification for neglecting the electron gas thermal capacity term from the microscopic parabolic heat conduction model.