Probability densities of turbulent temperature fluctuations

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Abstract
Starting from an assumption of universality in turbulence and building upon the work in Y. G. Sinai and V. Yakhot, Phys. Rev. Lett. 63, 1962 (1989), we construct a closed-form expression for the probability density function of temperature fluctuations. This result is found to be in good correspondence to experimental data obtained at Chicago and Yale. By extending this method, we obtain a similar expression for the probability density function of temperature differences between two times. Again the result is checked to hold very well, except for very short time separations.