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

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.

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[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] 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] 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] 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] 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] 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] 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] C. R. Lee, J. P. Yu, “On q-analogues of the statistical distribution,” Physics Letters A, vol. 150, no. 2, pp. 63-66, 1990.

[9] H. S. Song, S. X. Ding, I. An, “Statistical mechanical properties of the q-oscillator system,” Journal of Physics A: Mathematical and Theoretical, vol. 26, no. 20, pp. 5197-5205, 1993.

[10] J. Crnugelj, M. Martinis, V. MikutaMartinis, “Jaynes-Cummings model and the deformed oscillator algebra,” Physics Letters A, vol. 188, pp. 347-354, 1994.

[11] A. Lavagno, P. Narayana Swamy, “Generalized thermodynamics of qdeformed bosons and fermions,” Physical Review E, vol. 65, pp. 036101-1-036101-5, 2002.

[12] G. Su, S. Cai, H. Chen, “Bose-Einstein condensation of a relativistic q-deformed Bose gas,” Journal of Physics A: Mathematical and Theoretical, vol. 41, pp. 045007, 2008.

[13] B. Mirza, H. Mohammadzadeh, “Thermodynamic geometry of deformed bosons and fermions,” Journal of Physics A: Mathematical and Theoretical, vol. 44, pp. 0475003, 2011.

[14] A. Algin, M. Senay, “High-temperature behavior of a deformed Fermi gas obeying interpolating statistics,” Physical Review E, vol. 85, pp. 041123-1-041123-10, 2012.

[15] A. A. Marinho, F. A. Brito, C. Chesman, “Thermal properties of a solid through qdeformed algebra,” Physica A, vol. 391, pp. 3424-3434, 2012.

[16] E. Dil, “Q-Deformed Einstein equations, ”Canadian Journal of Physics, vol. 93, no. 11, pp. 1274-1278, 2015.

[17] M. Senay, S. Kibaroğlu, “Thermosize effects in a q-deformed fermion gas model, ”Modern Physics Letters B, vol. 32, no. 20, pp. 1850230-1-1850230-9, 2018.

[18] A. Lavagno, P. Narayana Swamy, “Deformed Quantum Statistics in Two Dimensions,” International Journal of Modern Physics B, vol. 23, no. 2, pp. 235- 250, 2009.

[19] G. B. Arfken, H. J. Weber, F. E. Harris, Mathematical Methods for Physicst 7rd ed., Amsterdam, Elsevier, 2013.

[20] Pazy, E., Argaman, N., “Quantum particle statistics on the holographic screen leads to modified Newtonian dynamics,” Physical Review D, vol. 85, no, 10, pp. 104021-1- 104021-7, 2012.

[21] T. Lin, G. Su, C. Ou, B. Lin, A. Le Mehaute, Q. A. Wang and J. Chen, “Thermosize effects in confined quantum gas systems,” Modern Physics Letter B, vol. 24, no. 15, pp. 1727-1737, 2010.

[22] A. V. Da Rosa, Fundamentals of Renewable Energy Processes, Amsterdam, Academic Press, 2009.
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi-Cover
  • ISSN: 1301-4048
  • Yayın Aralığı: Yılda 6 Sayı
  • Başlangıç: 1997
  • Yayıncı: Sakarya Üniversitesi Fen Bilimleri Enstitüsü