Towards Thermodynamics with Generalized Uncertainty Principle
Various frameworks of quantum gravity predict a modification in the Heisenberg uncertainty principle to a so-called generalized uncertainty principle (GUP). Introducing quantum gravity effect makes a considerable change in the density of states inside the volume of the phase space which changes the...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/629148 |
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| _version_ | 1850166143059230720 |
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| author | Ahmed Farag Ali Mohamed Moussa |
| author_facet | Ahmed Farag Ali Mohamed Moussa |
| author_sort | Ahmed Farag Ali |
| collection | DOAJ |
| description | Various frameworks of quantum gravity predict a modification in the Heisenberg uncertainty principle to a so-called generalized uncertainty principle (GUP). Introducing quantum gravity effect makes a considerable change in the density of states inside the volume of the phase space which
changes the statistical and thermodynamical properties of any physical system. In this paper we investigate the modification in thermodynamic properties of ideal gases and photon gas. The partition function is calculated and using it we calculated a considerable growth in the thermodynamical functions for these considered systems. The growth may happen due to an additional repulsive force between constitutes of gases which may be due to the existence of GUP, hence predicting a considerable increase in the entropy of the system. Besides, by applying GUP on an ideal gas in a trapped potential, it is found that GUP assumes a minimum measurable value of thermal wavelength
of particles which agrees with discrete nature of the space that has been derived in previous studies from the GUP. |
| format | Article |
| id | doaj-art-dd3d9c763f494ca0981f880b2abe616d |
| institution | OA Journals |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-dd3d9c763f494ca0981f880b2abe616d2025-08-20T02:21:33ZengWileyAdvances in High Energy Physics1687-73571687-73652014-01-01201410.1155/2014/629148629148Towards Thermodynamics with Generalized Uncertainty PrincipleAhmed Farag Ali0Mohamed Moussa1Center for Fundamental Physics, Zewail City of Science and Technology, Giza 12588, EgyptDepartment of Physics, Faculty of Sciences, Benha University, Benha 13518, EgyptVarious frameworks of quantum gravity predict a modification in the Heisenberg uncertainty principle to a so-called generalized uncertainty principle (GUP). Introducing quantum gravity effect makes a considerable change in the density of states inside the volume of the phase space which changes the statistical and thermodynamical properties of any physical system. In this paper we investigate the modification in thermodynamic properties of ideal gases and photon gas. The partition function is calculated and using it we calculated a considerable growth in the thermodynamical functions for these considered systems. The growth may happen due to an additional repulsive force between constitutes of gases which may be due to the existence of GUP, hence predicting a considerable increase in the entropy of the system. Besides, by applying GUP on an ideal gas in a trapped potential, it is found that GUP assumes a minimum measurable value of thermal wavelength of particles which agrees with discrete nature of the space that has been derived in previous studies from the GUP.http://dx.doi.org/10.1155/2014/629148 |
| spellingShingle | Ahmed Farag Ali Mohamed Moussa Towards Thermodynamics with Generalized Uncertainty Principle Advances in High Energy Physics |
| title | Towards Thermodynamics with Generalized Uncertainty Principle |
| title_full | Towards Thermodynamics with Generalized Uncertainty Principle |
| title_fullStr | Towards Thermodynamics with Generalized Uncertainty Principle |
| title_full_unstemmed | Towards Thermodynamics with Generalized Uncertainty Principle |
| title_short | Towards Thermodynamics with Generalized Uncertainty Principle |
| title_sort | towards thermodynamics with generalized uncertainty principle |
| url | http://dx.doi.org/10.1155/2014/629148 |
| work_keys_str_mv | AT ahmedfaragali towardsthermodynamicswithgeneralizeduncertaintyprinciple AT mohamedmoussa towardsthermodynamicswithgeneralizeduncertaintyprinciple |