Characteristic angular scales in cosmic microwave background radiation

F. Ghasemi; A. Bahraminasab; M. Sadegh Movahed; Sohrab Rahvar; K. R. Sreenivasan; M. Reza Rahimi Tabar

doi:10.1088/1742-5468/2006/11/P11008

Characteristic angular scales in cosmic microwave background radiation

F. Ghasemi, A. Bahraminasab, M. Sadegh Movahed, Sohrab Rahvar, K. R. Sreenivasan, M. Reza Rahimi Tabar

Research output: Contribution to journal › Review article › peer-review

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(n̂₂). 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	https://doi.org/10.1088/1742-5468/2006/11/P11008
State	Published - Nov 1 2006

Keywords

New applications of statistical mechanics

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Statistics, Probability and Uncertainty

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10.1088/1742-5468/2006/11/P11008

Cite this

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title = "Characteristic angular scales in cosmic microwave background radiation",

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, 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 ({\^n})and its increment, ∇ T = T({\^n}2). Through this method we show that temperature fluctuations in the CMB have fat tails compared to a Gaussian distribution.",

keywords = "New applications of statistical mechanics",

author = "F. Ghasemi and A. Bahraminasab and Movahed, {M. Sadegh} and Sohrab Rahvar and Sreenivasan, {K. R.} and Tabar, {M. Reza Rahimi}",

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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

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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.

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

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JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

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Characteristic angular scales in cosmic microwave background radiation

Abstract

Keywords

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