Application of Statistical Mechanics for Thermodynamics Properties of Graphene

Bazrafshan, Afsaneh; Rastegar-Sedehi, Hamid-Reza; Khordad, Reza; Ghanaatian, Mohammad

doi:10.30473/jphys.2022.66304.1130

Document Type : Research

Authors

¹ Department of Physics, Jahrom University, Jahrom, Iran

² Faculty member/Yasouj University

³ Faculty Member/Payame Noor University

https://doi.org/10.30473/jphys.2022.66304.1130

Abstract

In this paper, we have been used energy spectrum of ideal single layer graphene to investigate thermodynamic properties of this material. We have used Shannon and Tsallis entropies for investigating the entropy, internal energy and specific heat of this system. We plot these properties versus temperature. The obtained results show that the entropy and internal energy increase with enhancing the temperature and then these reach to a constant values. Also, the specific heat increases until it reaches a maximum and then reduces with increasing the temperature.

Keywords

References

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Quarterly Journal of Optoelectronic

Application of Statistical Mechanics for Thermodynamics Properties of Graphene

References

References

[2] K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, M. Katsnelson, I. V. Grigorieva, S. V. Dubonos, and A. A. Firsov, Two-dimensional gas of massless Dirac fermions in graphene, Nature 438 (2005) 197.

[4] Q. Zhao, M. B. Nardelli, J. Bernholc, Ultimate strength of carbon nanotubes: A theoretical study, Phys. Rev. B 65 (2002) 144105.

[11] C. Tsallis, Possible generalization of Boltzmann-Gibbs statistics , J. Stat. Phys. 52 (1988) 479.

[12] C. Tsallis, R.S. Mendes, A.R. Plastino, The role of constraints within generalized nonextensive statistics, Physica A 261 (1998) 534.

[20] H.R. Rastegar Sedehi, R. Khordad, Entropy and specific heat of graphene at low and high temperatures under an external magnetic field, Solid State Communications 313 (2020) 113911.

[21] H.R. Rastegar Sedehi, R. Khordad, Investigation of specific heat in the monolayer graphene, Iranian Journal of Physics Research, 20 (2020) 355.

Volume 4, Issue 2 - Serial Number 11
September 2022
Pages 73-78

Application of Statistical Mechanics for Thermodynamics Properties of Graphene

References

References

[2] K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, M. Katsnelson, I. V. Grigorieva, S. V. Dubonos, and A. A. Firsov, Two-dimensional gas of massless Dirac fermions in graphene, Nature 438 (2005) 197.

[4] Q. Zhao, M. B. Nardelli, J. Bernholc, Ultimate strength of carbon nanotubes: A theoretical study, Phys. Rev. B 65 (2002) 144105.

[11] C. Tsallis, Possible generalization of Boltzmann-Gibbs statistics , J. Stat. Phys. 52 (1988) 479.

[12] C. Tsallis, R.S. Mendes, A.R. Plastino, The role of constraints within generalized nonextensive statistics, Physica A 261 (1998) 534.

[20] H.R. Rastegar Sedehi, R. Khordad, Entropy and specific heat of graphene at low and high temperatures under an external magnetic field, Solid State Communications 313 (2020) 113911.

[21] H.R. Rastegar Sedehi, R. Khordad, Investigation of specific heat in the monolayer graphene, Iranian Journal of Physics Research, 20 (2020) 355.

Volume 4, Issue 2 - Serial Number 11September 2022Pages 73-78

Volume 4, Issue 2 - Serial Number 11
September 2022
Pages 73-78