Version 1
: Received: 22 November 2022 / Approved: 22 November 2022 / Online: 22 November 2022 (03:56:48 CET)
How to cite:
Xiong, H.; Xiong, Y. On the Thermodynamics of Fermions at any Temperature based on Parametrized Partition Function. Preprints2022, 2022110404. https://doi.org/10.20944/preprints202211.0404.v1
Xiong, H.; Xiong, Y. On the Thermodynamics of Fermions at any Temperature based on Parametrized Partition Function. Preprints 2022, 2022110404. https://doi.org/10.20944/preprints202211.0404.v1
Xiong, H.; Xiong, Y. On the Thermodynamics of Fermions at any Temperature based on Parametrized Partition Function. Preprints2022, 2022110404. https://doi.org/10.20944/preprints202211.0404.v1
APA Style
Xiong, H., & Xiong, Y. (2022). On the Thermodynamics of Fermions at any Temperature based on Parametrized Partition Function. Preprints. https://doi.org/10.20944/preprints202211.0404.v1
Chicago/Turabian Style
Xiong, H. and Yunuo Xiong. 2022 "On the Thermodynamics of Fermions at any Temperature based on Parametrized Partition Function" Preprints. https://doi.org/10.20944/preprints202211.0404.v1
Abstract
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 large fermion systems with numerical simulation. As an example, we present energies for up to 50 noninteracting fermions and up to 20 interacting fermions at all temperatures and show good agreement with the analytical result for noninteracting case.
Keywords
fermion sign problem; path integral molecular dynamics; path integral Monte Carlo; thermodynamic properties; large Fermi system; ground state
Subject
Physical Sciences, Condensed Matter Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
