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Dr. Mohammed Mohamoud Moussa Ibrahim :: Publications:

Title:
Towards Thermodynamics with Generalized Uncertainty Principle Advances in High Energy Physics Volume 2014 (2014), Article ID 629148
Authors: Ahmed Farag Ali and Mohamed Moussa
Year: 2014
Keywords: Not Available
Journal: Not Available
Volume: Not Available
Issue: Not Available
Pages: Not Available
Publisher: Not Available
Local/International: International
Paper Link:
Full paper Mohammed Mohamoud Moussa Ibrahim_Towards Thermodynamics with Generalized Uncertainty Principle.pdf
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Abstract:

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.

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