Temporal evolution of mesoscopic structure of some non-Euclidean systems using a Monte Carlo model

A Monte Carlo-based computer model is presented to explain the contrasting observations of Mazumder et al. [Phys. Rev. Lett. 93, 255704 (2004) and Phys. Rev. B 72, 224208 (2005)], based on neutron-scattering measurements, on the temporal evolution of the effective fractal dimension and the characteristic length for hydration of cement with light and heavy water. In this context, a theoretical model is also proposed to elucidate the same.