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arXiv 2003.00437cond-mat.mtrl-sci
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表面heat capacity理论及其实验验证。金刚石晶格材料specific heats的标度

The theory of surface heat capacity and its experimental verification. The scaling of specific heats of diamond lattice materials

Yuri Vladimirovich Gusev

摘要:

比热的场(几何)理论是基于普适热和,这是一种新的数学工具,来自于具有封闭时间坐标的欧几里得四维时空中的演化方程。这一理论使得研究凝聚态物质热容的定标现象成为可能。本文重新讨论了金刚石晶格碳族元素比热的标度。用实验数据验证了天然金刚石和灰锡结垢特性的预测。这两种材料的比热准低温行为的温度的四次方被证实。本文用特征温度探讨了某些锌合金晶格化合物和金刚石晶格元素比热的标度现象。灰锡和锑化铟几乎相同的弹性性质是它们的热性质相似的原因,这使得提出灰锡热性质的理论成为可能。推导了二维物体的比热,并用于探讨表面热容。表面比热与物体的有效尺寸成反比,在理论和实验中都必须考虑。表面贡献的总比热,在足够低的温度下是立方的温度项,被证明是存在于灰锡和氯化钠,和两个天然金刚石粉末的数据集。

英文摘要:

The field (geometrical) theory of specific heat is based on the universal thermal sum, a new mathematical tool derived from the evolution equation in the Euclidean four-dimensional spacetime, with the closed time coordinate. This theory made it possible to study the phenomena of scaling in the heat capacity of condensed matter. The scaling of specific heat of the carbon group elements with a diamond lattice is revisited. The predictions of the scaling characteristics for natural diamond and grey tin are verified with experimental data. The fourth power in temperature in the quasi-low temperature behaviour of the specific heat of both materials is confirmed. The phenomenon of scaling in the specific heat of some zincblend lattice compounds and diamond lattice elements is explored with their characteristic temperatures. The nearly identical elastic properties of grey tin and indium antimonide is the cause for similarity of their thermal properties, which makes it possible to propose conjectures about the thermal properties of grey tin. The derivation of the specific heat of two-dimensional bodies is presented and used to explore the surface heat capacity. The surface specific heat, which is inversely proportional to the effective size of a material body, must always be considered in theory and experiment. The surface contribution in total specific heat, which at sufficiently low temperatures is the cubic in temperature term, is demonstrated to be present in the datasets for powders of grey tin and sodium chloride, and two natural diamonds.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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