在热涨落条件下的分层约束等离子体的扩展时间粗粒化

本文对最近提出的致密等离子体模型（Barbieri 等 2024a）的深入研究展开，该模型表明等离子体基部发生的快速温度涨落（发生时间尺度远小于电子穿越时间）可推动系统进入非热态，表现为温度与密度呈反相关的分布，通常称为温度反转。为描述这一现象，Barbieri 等人（2024b） developed a temporal coarse-graining formalism. In this work, we generalize that approach to cover regimes where the timescales of temperature fluctuations are comparable to or exceed the electron crossing time. We derive a set of kinetic equations that incorporate an additional term arising from the coarse-graining procedure, which was not present in the earlier formulation. Through numerical simulations, we analyze the plasma dynamics under these broader conditions, showing that the electric field influences the system when fluctuation timescales approach the electron crossing time. However, for timescales much larger than the proton crossing time, the electric field becomes negligible. The observed behaviours are interpreted within the framework of the extended temporal coarse-graining theory, and we identify the regimes and conditions in which temperature inversion persists.