自由电子金属的非广延统计与热有效质量
Non-Extensive Statistics in Free-Electron Metals and Thermal Effective Mass
摘要：
本文将非广延统计力学应用于几种金属中的自由电子，计算了低温下的电子比热。在这种情况下，费米-狄拉克（FD）函数从其玻尔兹曼-吉布斯（BG）形式修改，指数部分变为非扩展形式的$q$ -指数。在大多数情况下，发现非广延参数$q$大于1，以产生正确的电子热有效质量$m^*$。发现比率$m^*/m$对$q$显示出良好的系统依赖性。结果表明，金属中的电子，在长程相关的存在下，合理地很好地描述了Tsallis统计。
英文摘要：
We have applied the non-extensive statistical mechanics to free electrons in several metals to calculate the electronic specific heat at low temperature. In this case, the Fermi-Dirac (FD) function is modified from its Boltzmann-Gibbs (BG) form, with the exponential part going to a $q$-exponential, in its non-extensive form. In most cases, the non-extensive parameter, $q$, is found to be greater than unity to produce the correct thermal effective mass, $m^*$, of electrons. The ratio $m^*/m$ is found to show a nice systematic dependence on $q$. Results indicate, electrons in metals, in the presence of long range correlations are reasonably well described by Tsallis statistics.
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