The effect of disordered substrate on crystallization in 2D.

Understanding how substrates influence crystal growth is a central challenge in materials science. Prior research has shown that ordered substrates can guide crystallization processes, but the role of disordered substrates remains less clear. While established knowledge suggests that crystallization is often enhanced on ordered surfaces, uncertainty remains about whether disorder might also play a constructive role. This gap motivated researchers to investigate how substrate disorder affects crystal growth mechanisms. No prior work had resolved whether disordered substrates could actually improve crystallization outcomes. Existing studies typically focus on ordered systems, leaving the potential benefits of disorder unexplored. This paper addresses that uncertainty by simulating crystallization on both ordered and disordered substrates. The study introduces a novel approach to assess the impact of local geometric variations on growth dynamics. By comparing ordered and disordered systems, the research aims to clarify whether disorder can influence crystallization in unexpected ways.

The primary aim of this study is to evaluate how disordered substrates affect the crystallization process compared to ordered ones. Specifically, the researchers seek to determine if substrate disorder can enhance crystal growth under certain conditions. They are motivated by the lack of clarity regarding whether disorder is always detrimental to crystallization. The study focuses on understanding the role of local geometric variations in influencing growth dynamics. By using computational simulations, the researchers aim to isolate the effects of disorder from other variables. This investigation is driven by the hypothesis that disorder might not always hinder crystallization. The study also aims to identify optimal growth temperatures for both ordered and disordered substrates. By comparing outcomes across different substrate types, the researchers hope to provide insights into the conditions under which disorder may be beneficial.

The researchers employed Monte-Carlo simulations of solid-on-solid models to study crystal growth. These simulations allowed them to introduce disorder by varying local lattice geometry and transition rates between sites. The simulations were run on both ordered and disordered substrates to compare growth outcomes. Local connectivity was altered to mimic the effects of disorder on crystal nucleation and propagation. Transition rates were adjusted to reflect site-specific variations in growth potential. The simulations tracked how crystal structures evolved over time on each substrate type. By controlling temperature as a key variable, the researchers assessed how it influenced crystallization efficiency. The study focused on identifying optimal growth conditions for both ordered and disordered systems.

The simulations revealed that both ordered and disordered substrates exhibit an optimal growth temperature. This finding suggests that temperature plays a critical role in crystallization regardless of substrate type. Under specific conditions, the disordered substrate was found to enhance crystal growth compared to the ordered one. This beneficial effect of disorder was observed when local geometric variations promoted nucleation and propagation. The study showed that crystal growth on disordered substrates could be more efficient than on ordered ones in certain temperature ranges. The presence of disorder did not always hinder crystallization; in fact, it sometimes improved it. The optimal growth temperature was consistent across both substrate types, indicating a shared underlying mechanism. These results suggest that disorder may not be inherently detrimental to crystallization processes.

The authors conclude that disordered substrates can have a beneficial effect on crystal growth under specific conditions. This finding challenges the assumption that disorder is always detrimental to crystallization. The study shows that optimal growth temperatures exist for both ordered and disordered substrates. The presence of disorder may enhance crystallization when local geometric variations support nucleation and propagation. These results suggest that substrate disorder can influence crystallization in unexpected ways. The authors propose that geometric variations in the substrate may act as nucleation sites that promote crystal growth. The findings imply that the relationship between substrate structure and crystallization is more complex than previously thought. The study highlights the importance of considering disorder as a potential factor in optimizing crystal growth processes.