Quantum gravity modifications of magnetized ideal gas thermodynamics

Fidele J. Twagirayezu

Physica A: Statistical Mechanics and its Applications, 2021, vol. 580, issue C

Abstract: In this article, we study minimal length effects on the statistical thermodynamic properties of a magnetized ideal gas. We reformulate the Lagrangian density of the 3-D spatial dimensional static electromagnetic field by employing Kempf Algebra to get the modified magnetostatic potential energy. We derive the modified thermodynamic properties of a magnetized ideal gas such as the mean energy, Helmholtz free energy and entropy. Also, we derive the magnetization, susceptibility, and permeability in the presence of a minimal length. It is found that quantum gravity affects all thermodynamic properties. In addition, we derive the respective upper bounds on the deformation parameter and minimal length.

Keywords: Generalized uncertainty principle; Quantum gravity; Statistical thermodynamics; Magnetized ideal gas (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:580:y:2021:i:c:s0378437121004325

DOI: 10.1016/j.physa.2021.126159

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