RAS PhysicsЖурнал экспериментальной и теоретической физики Journal of Experimental and Theoretical Physics

  • ISSN (Print) 0044-4510
  • ISSN (Online) 3034-641X

On the Heat Capacity of Quantum Hard Sphere Fluid

PII
10.31857/S0044451023120155-1
DOI
10.31857/S0044451023120155
Publication type
Article
Status
Published
Authors
Volume/ Edition
Volume 164 / Issue number 6
Pages
1022-1025
Abstract
The thermodynamic properties of the Boltzmann hard sphere system is discussed. It was found that zero point energy decreases with temperature so slowly that it turned out to be an almost a constant addition to the classical value. In result the heat capacity of the system differs little from the classical value of 3/2 k everywhere except for the narrow region of low temperatures, where heat capacity drops to zero. The predicted linear temperature contribution to the heat capacity like in ideal Fermi gas was clearly detected in the quantum hard sphere system at the lowest temperatures.
Keywords
Date of publication
15.12.2023
Year of publication
2023
Number of purchasers
0
Views
35

References

  1. 1. K. J.Runge and G. V. Chester, Phys. Rev. B 38, 135 (1988).
  2. 2. J. A. Barker and D. Henderson, J.Chem.Phys. 47, 2856 (1967).
  3. 3. J.-P. Hansen, D. Levesque, and D. Schi, Phys. Rev. A 3, 776 (1971).
  4. 4. M. H. Kalos, D. Levesque, and L. Verlet, Phys.Rev. A 9, 2178 (1974).
  5. 5. R. K. Cole, Jr., Phys.Rev. 155, 114 (1967).
  6. 6. H. B. Rosenstock, Am. J. Phys.,30,38 (1962).
  7. 7. L. M. Ses'e, J. Chem. Phys. 136, 244504 (2012).
  8. 8. R. K. Bhaduri, W. wan Dijk, and M. K. Srivastava, Europ. J. Phys. 27, 1323 (2006).
  9. 9. R. K. Pathria and P. D. Beale, Statistitical Mechanics, Third Edition, Elsevier (2011).
  10. 10. S. M. Stishov, JETP letters, 31, 272 (1980).
  11. 11. E. V. Lebedeva, A. M. Dyugaev, and P. D. Grigor'ev, Low Temp. Phys. 40, 475 (2014).
QR
Translate

Индексирование

Scopus

Scopus

Scopus

Crossref

Scopus

Higher Attestation Commission

At the Ministry of Education and Science of the Russian Federation

Scopus

Scientific Electronic Library