### Abstract

We investigate the stochasticity in temperature fluctuations in the cosmic microwave background (CMB) radiation data from the Wilkinson Microwave Anisotropy Probe. We show that the angular fluctuation of the temperature is a Markov process with a Markov angular scale, Θ_{Markov} = 1.01 _{-0.07}
^{+0.09}. We characterize the complexity of the CMB fluctuations by means of a Fokker-Planck or Langevin equation and measure the associated Kramers-Moyal coefficients for the fluctuating temperature field T (n̂)and its increment, ∇ T = T(n̂_{2}). Through this method we show that temperature fluctuations in the CMB have fat tails compared to a Gaussian distribution.

Original language | English (US) |
---|---|

Article number | P11008 |

Journal | Journal of Statistical Mechanics: Theory and Experiment |

Issue number | 11 |

DOIs | |

State | Published - Nov 1 2006 |

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### Keywords

- New applications of statistical mechanics

### ASJC Scopus subject areas

- Statistics and Probability
- Statistical and Nonlinear Physics

### Cite this

*Journal of Statistical Mechanics: Theory and Experiment*, (11), [P11008]. https://doi.org/10.1088/1742-5468/2006/11/P11008

**Characteristic angular scales in cosmic microwave background radiation.** / Ghasemi, F.; Bahraminasab, A.; Movahed, M. Sadegh; Rahvar, Sohrab; Sreenivasan, K. R.; Tabar, M. Reza Rahimi.

Research output: Contribution to journal › Article

*Journal of Statistical Mechanics: Theory and Experiment*, no. 11, P11008. https://doi.org/10.1088/1742-5468/2006/11/P11008

}

TY - JOUR

T1 - Characteristic angular scales in cosmic microwave background radiation

AU - Ghasemi, F.

AU - Bahraminasab, A.

AU - Movahed, M. Sadegh

AU - Rahvar, Sohrab

AU - Sreenivasan, K. R.

AU - Tabar, M. Reza Rahimi

PY - 2006/11/1

Y1 - 2006/11/1

N2 - We investigate the stochasticity in temperature fluctuations in the cosmic microwave background (CMB) radiation data from the Wilkinson Microwave Anisotropy Probe. We show that the angular fluctuation of the temperature is a Markov process with a Markov angular scale, ΘMarkov = 1.01 -0.07 +0.09. We characterize the complexity of the CMB fluctuations by means of a Fokker-Planck or Langevin equation and measure the associated Kramers-Moyal coefficients for the fluctuating temperature field T (n̂)and its increment, ∇ T = T(n̂2). Through this method we show that temperature fluctuations in the CMB have fat tails compared to a Gaussian distribution.

AB - We investigate the stochasticity in temperature fluctuations in the cosmic microwave background (CMB) radiation data from the Wilkinson Microwave Anisotropy Probe. We show that the angular fluctuation of the temperature is a Markov process with a Markov angular scale, ΘMarkov = 1.01 -0.07 +0.09. We characterize the complexity of the CMB fluctuations by means of a Fokker-Planck or Langevin equation and measure the associated Kramers-Moyal coefficients for the fluctuating temperature field T (n̂)and its increment, ∇ T = T(n̂2). Through this method we show that temperature fluctuations in the CMB have fat tails compared to a Gaussian distribution.

KW - New applications of statistical mechanics

UR - http://www.scopus.com/inward/record.url?scp=42749101228&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=42749101228&partnerID=8YFLogxK

U2 - 10.1088/1742-5468/2006/11/P11008

DO - 10.1088/1742-5468/2006/11/P11008

M3 - Article

AN - SCOPUS:42749101228

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

SN - 1742-5468

IS - 11

M1 - P11008

ER -