2025/07/07 by Joel Saucedo, Saucedo, Joel, Uday Lamba +3
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Laser-Plasma Interactions and Diagnostics #Plasma Physics (physics.plasm-ph) #Statistical Mechanics and Entropy
paper · pdf · doi:10.48550/arxiv.2507.10565
openalex publication_date 2025/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The electron energy distribution function (EEDF) in low-temperature plasmas exhibits features not fully captured by classical collisional models, particularly across the transition from kinetic to hydrodynamic regimes. This work attributes these phenomena to a dynamically broken scale invariance within the Vlasov-Boltzmann equation. By applying renormalization group (RG) techniques directly to the kinetic operator, we derive non-perturbative EEDF solutions valid across a range of collisionality. The formalism yields analytic scaling relations for electron heating and predicts the emergence of distinct EEDF forms - bimodal in the kinetic limit and generalized exponential in the hydrodynamic limit - separated by a critical pressure. It is shown that the stable RG fixed point governing the system's long-time behavior corresponds to a state of minimum entropy production, establishing a thermodynamic basis for plasma self-organization. The theory provides a quantitative explanation for the experimentally observed universal data collapse of rescaled EEDFs and resolves standing issues like Godyak's EEDF metamorphosis.