Blackbody Radiation in $q$-deformed Statistics

Atanu Guha; Prasanta Kumar Das

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arXiv · 1706.10085

Blackbody Radiation in $q$-deformed Statistics

Atanu Guha·Prasanta Kumar Das

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Abstract

More general canonical ensemble which gives rise the generalized statistics or $q$-deformed statistics can represent the realistic scenario than the ideal one, with proper parameter sets involved. We study the Planck's law of blackbody radiation, Wein's and Rayleigh-Jeans radiation formulae from the point of view of $q$-deformed statistics. We find that the blackbody energy spectrum curve for a given temperature $T$ corresponding to different $q$ values differs from each other: the location of the peak(i.e. $ν_m$) of the energy distribution $u_ν$ (corresponding to different $q$ ) shifted towards higher $ν$ for higher $q$. From the $q$-deformed Wein's displacement law, we find that $λ_m T$ varies from $0.0029~\rm{m~K}$ to $0.0017~\rm{m~K}$ as the deformation parameter $q$ varies from $1.0$(undeformed) to $1.1$(deformed).

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Atanu Guha, Prasanta Kumar Das. 2017-06-30. Blackbody Radiation in $q$-deformed Statistics. https://arxiv.org/abs/1706.10085

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