The law of the fragment size distribution during the explosion

In the explosion of a continuous medium numerous fragments are formed, the sizes of which are described by the distribution function. For this function, various formulas were proposed by the following authors: P.O. Rosin and E. Rammler (1933), E.H.W. Weibull (1939), A.N. Kolmogorov (1940, publ. 1941, lognormal distribution). Numerous experiments have shown that the distribution function corresponds to the Weibull empirical formula. The author proved that the law of fragments is a chi distribution with five degrees of freedom. Such a law, written in Weibull coordinates, exactly coincides with the Weibull distribution and is confirmed experimentally. The theoretical conclusion of the law of the distribution of fragments is based on the classical results of statistical physics: the Maxwell distribution (1859, publ. 1860), the Boltzmann’s entropy (1877), the Rayleigh distribution (1880), and the Perrin-Langevin distribution for Brownian particle displacements (1910).