论文标题
热力学系统的最快冷冻温度
Fastest Frozen Temperature for a Thermodynamic System
论文作者
论文摘要
对于热力学系统在高温下遵守均衡定理和低温下的第三定律，显示特定热和温度之间的关系的曲线具有两种常见行为：\当温度为零开尔文时终止于零，并且由于温度为较高和较高。由于可以始终找到特征温度$ t_ {c} $以标记激发温度，因为特定热量几乎达到了均衡值，因此在低温间隔中找到温度是合理的，互补至$ t_ {c} $。本研究报告了这种温度$ \ vartheta $的普遍存在，该温度$ \ vartheta $由特定热量降低\ textit {fastest}以及温度降低的定义。对于固体的Debye模型，Debye的定律高于温度$ \ vartheta $。
For a thermodynamic system obeying both the equipartition theorem in high temperature and the third law in low temperature, the curve showing relationship between the specific heat and the temperature has two common behaviors:\ it terminates at zero when the temperature is zero Kelvin and converges to a constant as temperature is higher and higher. Since it is always possible to find the characteristic temperature $T_{C}$ to mark the excited temperature as the specific heat almost reaches the equipartition value, it is reasonable to find a temperature in low temperature interval, complementary to $T_{C}$. The present study reports a possibly universal existence of the such a temperature $\vartheta$, defined by that at which the specific heat falls \textit{fastest} along with decrease of the temperature. For the Debye model of solids, above the temperature $\vartheta$ the Debye's law starts to fail.
