2025/11/27 by J. A. S. Lima, Lima, J. A. S., M. H. Benetti +1
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #Thermoelastic and Magnetoelastic Phenomena
paper · pdf · doi:10.48550/arxiv.2512.03075
openalex publication_date 2025/11/27 · openalex created_date 2025/12/05 · openalex updated_date 2026/07/28
Adopting a bottom-up perspective, we propose a novel two-parametric nonadditive entropy, Sκℓ, associated with a Kappa-type power-law velocity distribution, Fκℓ(v), recently derived in the literature. By formulating an extended Neo-Boltzmannian microstate counting procedure and employing standard averaging techniques, we demonstrate that the fundamental laws of thermodynamics are preserved within this generalized power-law framework only whether ℓ=-5/2, regardless of the values assumed by the κ-parameter.