Non-commutative correction of ideal gas thermodynamics

Abstract

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.

arXiv comment19 pages

References in corpus (39)

• String Theory and Noncommutative Geometry
• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• The quantum structure of spacetime at the Planck scale and quantum fields
• Lorentz invariance with an invariant energy scale
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• A Generalized Uncertainty Principle in Quantum Gravity
• Gravity's Rainbow
• On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
• A Gravity Theory on Noncommutative Spaces
• Non-Commutative Quantum Mechanics
• Emergence of a 4D World from Causal Quantum Gravity
• Loop quantum gravity and light propagation
• Noncommutative Geometry and Gravity
• Introduction to Doubly Special Relativity
• The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
• Kappa-Minkowski space-time and the star product realizations
• New realizations of Lie algebra kappa-deformed Euclidean space
• Corrections to Schwarzschild Solution in Noncommutative Gauge Theory of Gravity
• Charged Dilatonic Black Holes in Gravity's Rainbow
• Non-Linear Relativity in Position Space
• Covariant realizations of kappa-deformed space
• Falsifiable predictions from semiclassical quantum gravity
• Black Hole Remnant from Gravity's Rainbow
• Towards Quantum Noncommutative $\kappa$-deformed Field Theory
• Noncommutative Gauge Theory without Lorentz Violation
• Towards the QFT on Curved Spacetime Limit of QGR. II: A Concrete Implementation
• Electrodynamics on $\kappa$-Minkowski space-time
• Lorentz-violating contributions of the Carroll-Field-Jackiw model to the CMB anisotropy
• Geodesic equation in $k$-Minkowski spacetime
• Exact solutions and phenomenological constraints from massive scalars in a Gravity's Rainbow spacetime
• Finite Temperature behavior of the CPT-even and parity-even electrodynamics of the Standard Model Extension
• Effects of Noncommutativity on the Black Hole Entropy
• Rainbow black hole thermodynamics and the generalized uncertainty principle
• Noncommutativity and logarithmic correction to the black hole entropy
• Free energy of Lorentz-violating QED at high temperature
• Hawking radiation in the kappa-spacetime
• Noncommutative Particles in Curved Spaces
• Maximal acceleration in Rainbow gravity

Cited by in corpus (1)

• Thermal Casimir effect in $\kappa$-Minkowski space-time