Research Article

High-temperature thermostatistical properties of deformed quantum gas in two dimensions

Volume: 23 Number: 6 December 1, 2019
EN

High-temperature thermostatistical properties of deformed quantum gas in two dimensions

Abstract

In this study, we focus on the high-temperature thermostatistical properties of the q-deformed gas model in two spatial dimensions. Some important thermodynamical functions such as internal energy, entropy, specific heat are calculated depending on deformation parameter q. Moreover, the first five deformed virial coefficients in the equation of state of the model for two dimensions are derived. Also, the results obtained in this work are compared with the results of the undeformed gas model.

Keywords

References

  1. Referans 1 M. A. Martin-Delgado, “Planck distribution for a q-boson gas,” Journal of Physics A: Mathematical and General, vol. 24, pp. L1285-L1291, 1991.
  2. Referans 2 M. Arik, D. D. Coon, “Hilbert spaces of analytic functions and generalized coherent states,” Journal of Mathematical Physics, vol. 17, pp. 524-527, 1976.
  3. Referans 3 L. C. Biedenharn, “The quantum group SUq(2) and a q-analogue of the boson operators,” Journal of Physics A: Mathematical and General, vol. 22, pp. L873-L878, 1989.
  4. Referans 4 A. J. Macfarlane, “On q-analogues of the quantum harmonic oscillator and the quantum group SUq(2),” Journal of Physics A: Mathematical and General, vol. 22, pp. 4581-4588, 1989.
  5. Referans 5 K. S. Viswanathan, R. Parthasarathy, .R. Jagannathan, “Generalized q-fermion oscillators and q-coherent states,” Journal of Physics A: Mathematical and General, vol. 25, pp. L335-L339, 1992.
  6. Referans 6 M. Chaichian, R. Gonzalez Felipe, C. Montonen, “Statistics of q-oscillators quons and relations to fractional statistics,” Journal of Physics A: Mathematical and General, vol. 26, pp. 4017-4034, 1993.
  7. Referans 7 Y. J. Ng, “Comment on the q-analogues of the harmonic oscillator,” Journal of Physics A: Mathematical and Theoretical, vol. 23, no. 6, pp. 1023-1027, 1990.
  8. Referans 8 C. R. Lee, J. P. Yu, “On q-analogues of the statistical distribution,” Physics Letters A, vol. 150, no. 2, pp. 63-66, 1990.

Details

Primary Language

English

Subjects

Metrology, Applied and Industrial Physics

Journal Section

Research Article

Publication Date

December 1, 2019

Submission Date

April 17, 2019

Acceptance Date

September 11, 2019

Published in Issue

Year 2019 Volume: 23 Number: 6

APA
Şenay, M. (2019). High-temperature thermostatistical properties of deformed quantum gas in two dimensions. Sakarya University Journal of Science, 23(6), 1273-1278. https://doi.org/10.16984/saufenbilder.555231
AMA
1.Şenay M. High-temperature thermostatistical properties of deformed quantum gas in two dimensions. SAUJS. 2019;23(6):1273-1278. doi:10.16984/saufenbilder.555231
Chicago
Şenay, Mustafa. 2019. “High-Temperature Thermostatistical Properties of Deformed Quantum Gas in Two Dimensions”. Sakarya University Journal of Science 23 (6): 1273-78. https://doi.org/10.16984/saufenbilder.555231.
EndNote
Şenay M (December 1, 2019) High-temperature thermostatistical properties of deformed quantum gas in two dimensions. Sakarya University Journal of Science 23 6 1273–1278.
IEEE
[1]M. Şenay, “High-temperature thermostatistical properties of deformed quantum gas in two dimensions”, SAUJS, vol. 23, no. 6, pp. 1273–1278, Dec. 2019, doi: 10.16984/saufenbilder.555231.
ISNAD
Şenay, Mustafa. “High-Temperature Thermostatistical Properties of Deformed Quantum Gas in Two Dimensions”. Sakarya University Journal of Science 23/6 (December 1, 2019): 1273-1278. https://doi.org/10.16984/saufenbilder.555231.
JAMA
1.Şenay M. High-temperature thermostatistical properties of deformed quantum gas in two dimensions. SAUJS. 2019;23:1273–1278.
MLA
Şenay, Mustafa. “High-Temperature Thermostatistical Properties of Deformed Quantum Gas in Two Dimensions”. Sakarya University Journal of Science, vol. 23, no. 6, Dec. 2019, pp. 1273-8, doi:10.16984/saufenbilder.555231.
Vancouver
1.Mustafa Şenay. High-temperature thermostatistical properties of deformed quantum gas in two dimensions. SAUJS. 2019 Dec. 1;23(6):1273-8. doi:10.16984/saufenbilder.555231

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