Exchange symmetry, fluctuation-compressibility relation, and thermodynamic potentials of quantum liquids
- Authors
- Lim, Yu Rim; Park, Seong Jun; Song, Sanggeun; Yang, Gil-Suk; Yoon, Young-Gui; Kim, Ji-Hyun; Sung, Jaeyoung
- Issue Date
- Jun-2014
- Publisher
- AMER PHYSICAL SOC
- Citation
- PHYSICAL REVIEW E, v.89, no.6
- Journal Title
- PHYSICAL REVIEW E
- Volume
- 89
- Number
- 6
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/12128
- DOI
- 10.1103/PhysRevE.89.062131
- ISSN
- 1539-3755
1550-2376
- Abstract
- Liquid helium does not obey the Gibbs fluctuation-compressibility relation, which was noted more than six decades ago. However, still missing is a clear explanation of the reason for the deviation or the correct fluctuation-compressibility relation for the quantum liquid. Here we present the fluctuation-compressibility relation valid for any grand canonical system. Our result shows that the deviation from the Gibbs formula arises from a nonextensive part of thermodynamic potentials. The particle-exchange symmetry of many-body wave function of a strongly degenerate quantum gas is related to the thermodynamic extensivity of the system; a Bose gas does not always obey the Gibbs formula, while a Fermi gas does. Our fluctuation-compressibility relation works for classical systems as well as quantum systems. This work demonstrates that the application range of the Gibbs-Boltzmann statistical thermodynamics can be extended to encompass nonextensive open systems without introducing any postulate other than the principle of equal a priori probability.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Natural Sciences > Department of Chemistry > 1. Journal Articles
- College of Natural Sciences > Department of Physics > 1. Journal Articles
![qrcode](https://api.qrserver.com/v1/create-qr-code/?size=55x55&data=https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/12128)
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.