Rayleigh's Distribution, Wigner's Surmise and Equation of the Diffusion
R. Wojnar
IPPT PAN, A. PawiƄskiego 5b, 02-106 Warsaw, Poland
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After summaries on Rayleigh's distribution and Wigner's surmise, the time evolution of Rayleigh-Wigner's statistics is studied and a suitable diffusion type equation is proposed. Also the variance and kurtosis of time evolution of Rayleigh's distribution are calculated. Obtained results may be useful in description of physical, social and biological processes.

DOI: 10.12693/APhysPolA.123.624
PACS numbers: 05.40.Jc, 05.70.Ln, 82.39.Rt, 87.85.gj, 89.65.Gh, 89.65.Lm, 21.10.-k