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Paper   IPM / P / 7258
School of Physics
  Title:   Stochastic Nature of Cosmic Microwave Background Radiation
1.  F. Ghasemi
2.  A. Bahraminasab
3.  S. Rahvar
4.  M. Reza Rahimi Tabar
  Status:   Preprint
  No.:  0
  Year:  2003
  Supported by:  IPM
The standard cosmology model describes the evolution of the universe and astronomical observations on the scales ranging from a few to thousands of Mega parsecs. For the early universe epoch the inflationary cosmology models predict that the universe is flat and the large scale structures have nearly scale-invariant adiabatic character. The Cosmic Microwave Background data taken by the Wilkinson Microwave Anisotropy Probe provide a quantitative test of the cosmological models through comparing the statistical properties of data with what is expected from the models. Here we investigate the stochastic properties of these data as a tool for characterizing the complexity of the temperature fluctuations, by means of a Fokker-Planck equation. The Fokker-Planck equation provides the knowledge of how the statistics of temperature-difference on different angular scales are correlated. It is shown that the temperature angular fluctuation is a Markovian process with a Markov angular scale of ΘMarkov = 1.11 ±0.01o. This means that outside the Markov angular scale, the temperature fluctuations are statistically independent. We argue that the Markov angular scale and the particle horizon angular scale are physically identical.

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