AI 中文总结
研究针对锕系元素实验ρ(T)曲线差异大且无统一理论拟合的问题，提出基于两个平行传导通道概念的简单模型，能准确拟合多个锕系相及合金的ρ(T)数据，还得出相关德拜温度等结果。
AI 中文摘要
在凝聚态物理中，与温度相关的电阻率ρ(T)是常见的实验数据分析类型之一。对于锕系纯金属，实验得到的ρ(T)曲线差异极大，尚无统一理论方法来理解和拟合这些元素的ρ(T)数据。第一性原理计算得出的ρ(T)曲线与实验数据存在定性差异。本文提出一个简单模型，能准确拟合钍（Th）到锔（Cm）八个元素锕系相的ρ(T)数据，该模型基于两个平行传导通道概念，应用该模型得到的德拜温度与热容量测量值相符，还成功应用于δ相钚基合金Pu-Ce和Pu-Ce-Ga的ρ(T)数据。
英文摘要
Temperature-dependent electrical resistivity $ρ(T)$ is one of the most common types of experimental data analyzed in condensed matter physics. For one group of pure metals, the actinides, experimental $ρ(T)$ curves differ radically from one another to the point that there is no unified theoretical approach to understanding and fitting $ρ(T)$ data in these elements. First-principles calculations result in $ρ(T)$ curves that differ from experimental data, even qualitatively. In an attempt to unravel this long-standing problem, here I propose a simple model that accurately fits the $ρ(T)$ data for nine phases of elemental actinides (from thorium (Th) to curium (Cm)) for which experimental data are publicly available to date. The model is based on the concept of two parallel conduction channels: one is described by the Bloch-Grüneisen equation, which is associated with the classical electron-phonon dissipation mechanism, and the other by the Arrhenius equation, which is associated with the nearest-neighbor hopping (NNH) conductivity. Debye temperatures $Θ_D$ obtained by applying the model to the $ρ(T)$ data for nine elemental actinide phases are in good agreement with published values deduced from heat capacity measurements. For neptunium (Np) a maximum Arrhenius activation energy (among all actinides) of $E_a=15.9$ $meV$ was derived. The model was also successfully applied to $ρ(T)$ data measured on $δ$-phase plutonium-based alloys Pu-Ce and Pu-Ce-Ga.
Comments36 pages, 16 figures
