Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-07-30
Physics
Condensed Matter
Statistical Mechanics
8 pages, 2 figures, REVTEX4
Scientific paper
To take into account the temperature fluctuation in the Planck distribution, we calculate convolution integral with several probability distributions. Using these formula as well the Planck distribution and a formula in the non-extensive statistics, we analyze the data measured by the Cosmic Background Explorer (COBE). Our analysis reveals that the derivation from the Planck distribution is estimated as |q-1| = 4.4\times 10^{-5}, where q means the magnitude of the non-extensivity or the temperature fluctuation, provided that the dimensionless chemical potential proposed by Zeldovich and Sunyaev exists. Comparisons of new formulas and the Planck distribution including the Sunyaev-Zeldovich (S-Z) effect are made.
Biyajima Minoru
Kaneyama Masahiro
Kurashima Y.
Mizoguchi Takuya
Yamashita Toshifumi
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