# Statistical behaviour of interfaces subjected to curvature flow and torque effects applied to microstructural evolutions

arXiv: https://arxiv.org/abs/2106.05605 · HTML: https://mlsanity.com/paper/2106.05605/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 10 Jun 2021.

## Built on by (most cited first, 2 of 2)

- [High-fidelity Grain Growth Modeling: Leveraging Deep Learning for Fast Computations](https://mlsanity.com/paper/2505.05354/) (2025)
- [Predicting Grain Growth in Polycrystalline Materials Using Deep Learning Time Series Models](https://mlsanity.com/paper/2511.11630/) (2025)

## Abstract (arXiv)

The movement of grain boundaries in pure metals and alloys with a low concentration of dislocations has been historically proved to follow curvature flow behavior. This mechanism is typically known as grain growth (GG). However, recent 3D in-situ experimental results tend to question this global picture concerning the influence of the curvature on the kinetics of interface migration. This article explains, thanks to 2D anisotropic full-field simulations, how the torque effects can complexify these discussions. It is then illustrated that neglecting torque effects in full-field formulations remains potentially a strong hypothesis. The apparent mobility can be much more complex than expected without necessarily questioning the influence of the curvature on the local kinetic equation.