Equilibrium properties of blackbody radiation with an ultraviolet energy cut-off

Journal Article · Sun Oct 15 04:00:00 EDT 2017 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2017.08.004· OSTI ID:22701545

Chandra, Nitin ^[1]; Vaibhav, Vinay ^[2]

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1. Department of Physics, National Institute of Technology, Jamshedpur, 831014 (India)
2. The Institute of Mathematical Sciences, Chennai, Tamil Nadu, 600113 (India)

We study various equilibrium thermodynamic properties of blackbody radiation (i.e. a photon gas) with an ultraviolet energy cut-off. We find that the energy density, specific heat etc. follow usual acoustic phonon dynamics as have been well studied by Debye. Other thermodynamic quantities like pressure, entropy etc. have also been calculated. The usual Stefan–Boltzmann law gets modified. We observe that the values of the thermodynamic quantities with the energy cut-off is lower than the corresponding values in the theory without any such scale. The phase-space measure is also expected to get modified for an exotic spacetime appearing at Planck scale, which in turn leads to the modification of Planck energy density distribution and the Wien’s displacement law. We found that the non-perturbative nature of the thermodynamic quantities in the SR limit (for both unmodified and modified cases), due to nonanalyticity of the leading term, is a general feature of the theory accompanied with an ultraviolet energy cut-off. We have also discussed the possible modification in the case of Big Bang and the Stellar objects and have suggested a table top experiment for verification in effective low energy case. - Highlights: • We study the equilibrium thermodynamic properties of a photon gas with an ultraviolet energy cut-off. The values of the thermodynamic quantities are lower than the corresponding values in the theory without any such scale. • The usual Stefan–Boltzmann law gets modified. Also, there is a one to one correspondence with photons in Doubly Special Relativity and the acoustic phonons. • The phase space measure modification at Planck scale has been explored. This leads to modification of Planck energy density distribution and the Wien’s displacement law. • We found that non-perturbative nature of the thermodynamic quantities in the SR limit is a general feature of the theory accompanied with an ultraviolet energy cut-off. • At very high energies, the Hubble’s parameter gets a modification in the radiation dominated epoch of big bang, while at low energies, a table top experiment for verification of our theory has been suggested.

• OSTI ID: 22701545
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 385; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BLACKBODY RADIATION
ENERGY DENSITY
EQUILIBRIUM
MODIFICATIONS
PHASE SPACE
PHOTONS
SPACE-TIME
SPECIFIC HEAT
THERMODYNAMICS
ULTRAVIOLET RADIATION