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Towards Thermodynamics with Generalized Uncertainty Principle

نحو الديناميكا الحرارية مع مبدأ عدم اليقين المعمم
Authors: Ahmed Farag Ali; Mohamed Moussa;

Towards Thermodynamics with Generalized Uncertainty Principle

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.

Keywords

QC1-999, Foundations of Quantum Mechanics and Interpretations, Quantum Gravity and Noncommutative Field Theories, Phase space, Space (punctuation), Quantum mechanics, Quantum, Ideal gas, Uncertainty principle, Entropy (arrow of time), Ministate, Psychology, Cosmological Parameters and Dark Energy, Psychiatry, Physics, Statistical and Nonlinear Physics, Astronomy and Astrophysics, Partition function (quantum field theory), Linguistics, Electroencephalography, Commutation relations and statistics as related to quantum mechanics (general), Atomic and Molecular Physics, and Optics, FOS: Philosophy, ethics and religion, Finite-dimensional groups and algebras motivated by physics and their representations, FOS: Psychology, Philosophy, Physics and Astronomy, Physical Sciences, FOS: Languages and literature, Thermodynamics, Statistical physics, Theoretical physics, Generalized Uncertainty Principle

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Top 10%
Average
Top 10%
Green
gold