Thermodynamic behavior of the polytropic gas in cosmology
DOI:
https://doi.org/10.23755/rm.v39i0.564Keywords:
Cosmology, Dark energy, Polytropic gas, ThermodynamicsAbstract
In this paper, we investigate on the thermodynamic behavior of Polytropic gas as a candidate for dark energy by considering the relation P=KP^(1+1/n), where and are the Polytropic constant and Polytropic index respectively. Furthermore, indicates the pressure and is the energy density of the fluid such that where and represent the internal energy and volume, respectively. At first, we find an exact expression for the energy density of the Polytropic gas using thermodynamics and later on, discuss different physical parameters. Finally our study shows that the Polytropic gas may be used to describe the expansion history of the universe from the dust dominated era to the current accelerated era and it is thermodynamically stable.
References
A.G. Riess, et al. Type Ia Supernova Discoveries at z > 1 from the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution. Astro phys. J., 607,665-687, 2004.
A.G. Riess, et al. New Hubble space telescope discoveries of type Ia supernovae at z≥ 1: narrowing constraints on the early behavior of dark energy. Astrophys. J., 659, 98–121, 2007.
R. R. Caldwell and M. Doran. Cosmic microwave background and supernova constraints on quintessence: concordance regions and target models. Physical Review D, Vol-69, No.10, Article ID103517, 2004.
T. Koivisto and D. F. Mota. Dark energy anisotropic stress and large scale structure formation. Physical Review D, Vol- 73, No. 8, Article ID 083502, 2006.
S. F. Daniel, R. R. Caldwell, A. Cooray, and A. Melchiorri. Large scale structure as a probe of gravitational slip. Physical Review D, Vol- 77, No. 10, Article ID 103513, 2008.
D. N. Spergel, et al. First-Year Wilkinson Microwave Anisotropy Probe (WMAP)*Observations: Determination of Cosmological Parameters. Ap J S, 148, 135-159, 2003.
M.Tegmark, et al. Cosmological parameters from SDSS and WMAP. Physical Review D, 69, 103501, 2004.
R. Kalita. Dark Energy. Journal of Modern Physics, 6, 1007-1011, 2015.
E.J. Copland, M. Sami and S. Tsujikawa. Dynamics of Dark energy. Int J Mod. Phys D, 15(11), 1753-1935, 2006.
S. Weinberg. The cosmological constant problem. Reviews of Modern Physics. 61(1),1989.
C. Wetterich. Cosmology and the Fate of Dilatation Symmetry. Nuclear Physics B, 302, 668-696, 1988.
R.R. Caldwell. A Phantom Menace? Cosmological Consequences of Dark Energy Component with Super Negative Equation of State. Physics Letters B, 545, 23-29, 2002.
M.R. Setare, J. Sadeghi and A.R. Amani. Interacting Tachyon Dark Energy in non flat universe. Physics Letters B, 673, 241-246, 2009
M.R. Setare. Holography Chaplygin Gas Model. Physics Letters B, 648, 329-332, 2007.
M.R. Setare. Holographic Chaplygin DGP Cosmologies. International Journal of Modern Physics D, 18, 419-427, 2009.
N. Afshordi, D.J. Chung, and H. Geshnizjani. Casual Field Theory with an Infinite Speed of Sound. Physical Review D, Vol-75, Article ID: 083513, 2007.
U. Mukhopadhyay, S. Ray, S.B. Dutta Choudhury. Dark energy with Polytropic equation of state. Mod. Phys. Lett. A, 23, 3187-3198, 2008.
K. Karami, S. Ghaffari, J. Fehri. Interacting Polytropic gas model of phantom dark energy in non-flat universe. Eur. Phys. J. C., 64, 85-88, 2009.
K. Karami, S. Ghaffari. The generalized second law of thermodynamics for the interacting Polytropic dark energy in non-flat FRW universe enclosed by the apparent horizon. Phys. Letters B, 688, 125-128, 2010.
K. Kleidis and N. K. Spyrou. Polytropic dark matter flows illuminate dark energy and accelerated expansion. Astronomy & Astrophysics, Vol-576, No.A23, 2015.
H. Moradpour, A. Abri and H. Ebadi. Thermodynamic behavior and stability of Polytropic gas. International Journal of Modern Physics D, Vol-25, No.01, 1650014, 2016.
M. Salti, L. Acikgoz and H. Abedim. Polytropic Gas and Gravitational Thermodynamics. Chinese Journal of Physics, 52, 982-991, 2014.
Muzaffer Askin, Mustafa Salti and Oktay Aydogdu. Cosmology via Thermodynamics of Polytropic gas. Modern Physics Letter A, Vol-32, No. 32, 1750177, 2017.
H.B.Callen. Thermo dynamics and thermo statics. Newwork. John Wiley and Sons, 1985.
Downloads
Published
Issue
Section
License
This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge. The journal is committed to real and immediate open access for academic work. All of the journal articles are free to access immediately from the date of publication. There are no charge for readers to download articles and reviews for their own scholarly use. Benefits of open access for authors, include:
- Free access for all users worldwide
- Increased visibility and readership
- Rapid publication
- No spatial constraints
- Authors can share their research papers on their personal web-pages (i.e. ResearchGate, etc.)
Ratio Mathematica publishes open access articles under the terms of the Creative Commons Attribution (CC BY) License. The Creative Commons Attribution License (CC-BY) allows users to copy, distribute and transmit an article, adapt the article and make commercial use of the article. The CC BY license permits commercial and non-commercial re-use of an open access article, as long as the author is properly attributed. Copyright on any research article published by Ratio Mathematica is retained by the author(s). Authors grant Ratio Mathematica a license to publish the article and identify itself as the original publisher. Authors also grant any third party the right to use the article freely as long as its original authors, citation details and publisher are identified.
For further information visit: https://creativecommons.org/licenses/by/3.0/. The following logo will appear in any paper that will be published from the volume number 31/2016 onwards.
