On the thermodynamics of relativistic ideal gases in the presence of a maximal length |
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Affiliation: | LMEPA, Département de Physique, Faculté des Sciences Exactes et Informatique, Université de Jijel, BP 98, Ouled Aissa, 18000 Jijel, Algeria |
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Abstract: | We investigate the thermostatistics of relativistic ideal gases within the recently proposed deformed Heisenberg algebra (Perivolaropoulos, 2017), which includes a maximal length. By using the semiclassical method, the generalized canonical partition function is established and the modified thermodynamic functions are then calculated. It is explicitly shown that the maximal length, unlike the minimal length, modifies the equation of state of relativistic ideal gases. Furthermore, the ultrarelativistic and nonrelativistic regimes are discussed. In contrast to the minimal length corrections, the maximal length corrections do not depend on the considered regime. Such a result confirms that the effects of the maximal length and those of the minimal length are fundamentally different. |
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Keywords: | Deformed Heisenberg algebra Maximal length Semiclassical approach Relativistic ideal gas Partition function Equation of state |
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