We prove the existence of a thermal rectification mechanism in a harmonic model with a temperature-dependent effective potential. In contrast to much earlier work where it was shown for this model that rectification occurs in short chains of up to six sites, we analytically prove that this phenomenon occurs in a material with graded mass distribution for any size of the chain and is independent of the regime of heat transport. We find that thermal rectification is observed in a system with other asymmetric parameters, which can be related to structure parameters of the system or to features that depend on the temperatures of the internal sites of the chain and change when the heat baths at ends of the chain exchange places. The description of thermal rectification in these simplified models with a minimal set of ingredients shows that the phenomenon is ubiquitous and can help to theoretically investigate and practically create an efficient thermal diode.

中文翻译：

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具有热整流的有效经典谐波晶体

我们证明了在具有温度相关有效电位的谐波模型中存在热整流机制。与更早的工作相比，该模型显示整流发生在最多六个位点的短链中，我们通过分析证明，这种现象发生在具有任何尺寸链的分级质量分布的材料中，并且与热传输机制。我们发现在具有其他不对称参数的系统中观察到热整流，这可能与系统的结构参数或取决于链内部位置的温度的特征有关，并且当热浴在末端时发生变化。连锁交换场所。