Hurst's empirical law in the probability of atomic distribution in liquids

The rescaled range analysis was used to examine the pair distribution function of liquids. The global statistical dependence existed in the distribution of atoms in liquids. The probability of finding a particle at a distance r from a reference particle was subject to fractional Brownian motion. More importantly, the tendency of the Hurst exponent was away from the high rate when the change of liquid structure took place. This phenomenon showed that the liquid structural change was attributed to the variation of atomic distribution and the jump of the Hurst exponent was the indicator of the change from one phase to another in liquids