Combining rigorous bounds with extensive simulations, we studied the local number fluctuations of both hyperuniform and nonhyperuniform models.
See my blog post for more information.
S. Torquato, J. Kim, M. A. Klatt. Local Number Fluctuations in Hyperuniform and Nonhyperuniform Systems: Higher-Order Moments and Distribution Functions. Phys. Rev. X 11:021028-1–27 (2021).