Effect of thermal losses on the microscopic hyperbolic heat conduction model

The effects of radiative losses on the thermal behavior of thin metal films, as described by the microscopic two-step hyperbolic heat conduction model, are investigated. Different criteria, which determine the ranges within which thermal radiative losses are significant, are derived. It is found that radiative losses from the electron gas are significant in thin films having [(C_R e_e^4/₃ T_￥ ⁴ )/(k_e^1/₃ L^2/₃ G)] 3 4.6 ×10⁷{{C_R epsilon _e^{{4 over 3}} T_infty ^4 } over {k_e^{{1 over 3}} L^{{2 over 3}} G}}geq 4.6 times 10^7 for /_o > 4 and F_F < 1 and [(C_R e_e^3/₂ T_￥ ^9/₂)/(k_e^1/₂ L^1/₂ G)] 3 7.4 ×10¹⁰{{C_R epsilon _e^{{3 over 2}} T_infty ^{{9 over 2}}} over {k_e^{{1 over 2}} L^{{1 over 2}} G}}geq 7.4 times 10^{10} for /_o < 4 and F_F > 1.