Large Deviation Theory for Bose Gas of Photons and Planck's Oscillators

We utilize large deviation theorems to analyze the distributions of a Bose gas of photons and Planck’s identical linear oscillators. By applying the Boltzmann-Sanov and Cramér-Chernoff theorems, we calculate the large deviation probabilities, entropies, and rate functions for the spatial and energy distributions of both photons and Planck’s oscillators. Our study reproduces the results of Bose and Planck within the framework of large deviation theory.