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The quasi-low temperature behaviour of specific heat

机译：比热的准低温行为

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A new mathematical approach to condensed matter physics, based on the finite temperature field theory, was recently proposed. The field theory is a scale-free formalism; thus, it denies absolute values of thermodynamic temperature and uses dimensionless thermal variables, which are obtained with the group velocities of sound and the interatomic distance. This formalism was previously applied to the specific heat of condensed matter and predicted its fourth power of temperature behaviour at sufficiently low temperatures, which was tested by experimental data for diamond lattice materials. The range of temperatures with the quartic law varies for different materials; therefore, it is called the quasi-low temperature regime. The quasi-low temperature behaviour of specific heat is verified here with experimental data for the fcc lattice materials, silver chloride and lithium iodide. The conjecture that the fourth order behaviour is universal for all condensed matter systems has also supported the data for glassy matter: vitreous silica. This law is long known to hold for the bcc solid helium-4. The characteristic temperatures of the threshold of the quasi-low temperature regime are found for the studied materials. The scaling in the specific heat of condensed matter is expressed by the dimensionless parameter, which is explored with the data for several glasses. The explanation of the correlation of the ‘boson peak’ temperature with the shear velocity is proposed. The critique of the Debye theory of specific heat and the Born–von Karman model of the lattice dynamics is given.
机译：最近，提出了一种基于有限温度场理论的凝聚态物理数学新方法。场论是一种无尺度的形式主义。因此，它否认热力学温度的绝对值，并使用无量纲的热变量，这些变量是通过声速和原子间距离获得的。该形式主义以前曾应用于冷凝物的比热，并预测了其在足够低的温度下的温度行为的四次幂，并通过金刚石晶格材料的实验数据进行了测试。温度范围随四次定律的不同而不同。因此，它被称为准低温状态。在这里，利用fcc晶格材料，氯化银和碘化锂的实验数据验证了比热的准低温行为。四阶行为对于所有凝聚态系统都是通用的猜想也支持了玻璃态数据：氧化硅。众所周知，这种定律适用于bcc固体氦4。发现了所研究材料的准低温状态阈值的特征温度。冷凝物比热的标度由无量纲参数表示，该参数可通过几杯的数据进行探索。提出了“玻色子峰值”温度与剪切速度之间关系的解释。给出了对德比理论的比热理论的批评和晶格动力学的Born-von Karman模型。

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