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Non-commutative correction of ideal gas thermodynamics

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arxiv 2405.13086 v1 pith:YSNZXKBP submitted 2024-05-21 gr-qc hep-th

Non-commutative correction of ideal gas thermodynamics

classification gr-qc hep-th
keywords deformedmodifiedbackgroundgravityidealkapparainbowspace-time
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this study, we investigate the thermodynamics of a relativistic ideal within the context of $\kappa$-deformed space-time and Rainbow gravity background. To achieve this, we construct a modified partition function by considering a deformed Hamiltonian and incorporating corrections based on the time-invariant phase-space volume. We explore the implications of our model on the modified black body radiation spectrum and the modified Debye theory of specific heat in $\kappa$-deformed space-time and Rainbow gravity background.

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