论文标题
基于参数分区函数，在任何温度下的费米体热力学上
On the thermodynamics of fermions at any temperature based on parametrized partition function
论文作者
论文摘要
在这项工作中，我们研究了最近开发的参数化分区函数公式，并展示了如何基于玻色子的数值模拟和各种温度下的可区分颗粒来推断费米子的热力学特性。特别是，我们表明，在表征参数分区函数的能量，温度和参数定义的三维空间中，我们可以通过恒定能量轮廓绘制玻色子的能量和可区分的颗粒到费米子能量。我们将此思想应用于非互动和相互作用的费米系统，并表明可以在所有温度下推断费米的能量，从而提供了一种实用有效的方法来获得具有数值模拟的费米系统的热力学特性。例如，我们提供了10种非相互作用的费米子和10个相互作用的费米子（附录中提供更多费米子）的能量和热能，并与非互动情况的分析结果显示出良好的一致性。
In this work we study the recently developed parametrized partition function formulation and show how we can infer the thermodynamic properties of fermions based on numerical simulation of bosons and distinguishable particles at various temperatures. In particular, we show that in the three dimensional space defined by energy, temperature and the parameter characterizing parametrized partition function, we can map the energies of bosons and distinguishable particles to fermionic energies through constant-energy contours. We apply this idea to both noninteracting and interacting Fermi systems and show it is possible to infer the fermionic energies at all temperatures, thus providing a practical and efficient approach to obtain thermodynamic properties of Fermi systems with numerical simulation. As an example, we present energies and heat capacities for 10 noninteracting fermions and 10 interacting fermions (more fermions are provided in the appendix) and show good agreement with the analytical result for noninteracting case.
