2024-03-29T05:27:09Z
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oai:soar-ir.repo.nii.ac.jp:00017866
2022-12-14T04:12:23Z
1169:1170
A new blackbody radiation law based on fractional calculus and its application to NASA COBE data
Biyajima, Minoru
Mizoguchi, Takuya
Suzuki, Naomichi
© 2015. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Planck distribution
Fractional calculus
Mittag-Leffler function
Bose-Einstein distribution
Non-extensive approach
NASA COBE data
By applying fractional calculus to the equation proposed by M. Planck in 1900, we obtain a new blackbody radiation law described by a Mittag-Leffler (ML) function. We have analyzed NASA CODE data by means of a non-extensive formula with a parameter (q - 1), a formula proposed by Ertik et al. with a fractional parameter (alpha - 1), and our new formula including a parameter (p - 1), as well as the Bose-Einstein distribution with a dimensionless chemical potential mu. It can be said that one role of the fractional parameter (p - 1) is almost the same as that of chemical potential (mu) as well as that of the parameter (q - 1) in the nonextensive approach. (C) 2015 Elsevier B.V. All rights reserved.
Article
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS. 440:129-138 (2015)
ELSEVIER SCIENCE BV
2015-12-15
eng
journal article
AM
http://hdl.handle.net/10091/00018635
https://soar-ir.repo.nii.ac.jp/records/17866
https://doi.org/10.1016/j.physa.2015.08.015
10.1016/j.physa.2015.08.015
0378-4371
AA11252758
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
440
129
138
https://soar-ir.repo.nii.ac.jp/record/17866/files/A_new_blackbody_radiation_law_based.pdf
application/pdf
344.6 kB
2017-12-15