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

TL;DR

This paper introduces a Monte Carlo simulation and a theoretical model to study the time-dependent mesoscopic structure changes in cement hydration, aiming to explain contrasting experimental observations regarding fractal dimensions and characteristic lengths.

Contribution

It presents a novel Monte Carlo model and a theoretical framework to understand the evolution of mesoscopic structures in non-Euclidean systems during cement hydration.

Findings

Monte Carlo model replicates experimental trends

Theoretical model explains differences in hydration with light and heavy water

Provides insights into the temporal evolution of fractal structures

Abstract

A Monte Carlo based computer model is presented to comprehend 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 temporal evolution of effective fractal dimension and characteristic length for hydration of cement with light and heavy water. In this context, a theoretical model is also proposed to elucidate the same.