On Planck’s Radiation Function

Abstract

Arunas Ostasevicius

This paper proposes a deterministic macroscopic model of thermal radiation from condensed matter, offering an alternative to stochastic noise approaches of fluctuational electrodynamics. Based on the concept of a continuous cascade buildup of intermittent self-oscillations of the electron subsystem during slow heating (the Bolero principle) and first-order linearized Maxwell equations, a rigorous analytical derivation of Wien’s spectral law is obtained. The thermal response parameter of a substance is expressed for the first time in terms of its fundamental macroscopic properties: the dynamic stiffness of the electron shell of the emitting center, the volumetric heat capacity of the lattice, and the unit cell volume. Numerical verification of the model using the high-temperature parameters of tungsten (W) is performed, demonstrating the exact convergence of the equations. An analytical relationship is established between the macroscopic rate of change of the medium’s temperature and the baseline amplitude of the radiation current.

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