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The non-Gaussian measures of the particle number fluctuations -- skewness$S\sigma$ and kurtosis $\kappa \sigma^2$ -- are calculated in a vicinity of thecritical point. This point corresponds to the end point of the first-orderliquid-gas phase transition. The gaseous phase is characterized by the positivevalues of skewness while the liquid phase has negative skew. The kurtosisappears to be significantly negative at the critical density and supercriticaltemperatures. The skewness and kurtosis diverge at the critical point. Theclassical van der Waals equation of state in the grand canonical ensembleformulation is used in our studies. Neglecting effects of the quantumstatistics we succeed to obtain the analytical expressions for the richstructures of the skewness and kurtosis in a wide region around the criticalpoint. These results have universal form, i.e., they do not depend onparticular values of the van der Waals parameters $a$ and $b$. The stronglyintensive measures of particle number and energy fluctuations are alsoconsidered and show singular behavior in the vicinity of the critical point.

Non-Gaussian particle number fluctuations in vicinity of the critical point for van der Waals equation of state