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

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arxiv 2502.11600 v2 pith:WTN35END submitted 2025-02-17 cond-mat.stat-mech

classification cond-mat.stat-mech
keywords deviationlargeplanckboseoscillatorsphotonsdistributionstheorems
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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 Cram\'er-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.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Partition Functions and Kurepa Decomposition I: Algebraic computation and some physical Applications

    math.CO 2025-09 reject novelty 2.0 of 10

    The alleged proof of gcd(F_n, (n+1)!)=2 collapses because F_n is simply the Kurepa factorial and the key lemma is the conjecture itself.

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