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arXiv · 1504.01378

The effects of the chemical potential in a BE distribution and the fractional parameter in a distribution with Mittag-Leffler function

Minoru Biyajima·Takuya Mizoguchi·Naomichi Suzuki
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Abstract

The fractional Planck distribution is calculated by applying the Caputo fractional derivative with order $p$ ($p > 0$) to the equation proposed by Planck in 1900. In addition, the integral representation of the Mittag--Leffler function is employed to obtain a new formula for the fractional BE distribution, which is then used to analyze the NASA COBE monopole data. Based on this analysis, an identity $p\simeq e^{-\mu}$ is found, where $\mu$ is the dimensionless constant chemical potential that was introduced to the BE distribution by the NASA COBE collaboration.

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Minoru Biyajima, Takuya Mizoguchi, Naomichi Suzuki. 2015-04-06. The effects of the chemical potential in a BE distribution and the fractional parameter in a distribution with Mittag-Leffler function. https://arxiv.org/abs/1504.01378

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