Alder transition on the gyroid surface with negative Gaussian curvatures

What is it about?

What is regular arrangement when a surface is curved? On a flat surface, the hexagonal arrangement is ubiquitous from atoms, to micelles, and colloidal particles with spherical shape. Here, we consider regular arrangement of hard spheres on the Gyroid surface. Using Monte Carlo simulation, we found that the Alder transition on the G surface occurs. The regular arrangements on the G surface are related to hyperbolic tilings.

Featured Image

Why is it important?

This paper shows regular arrangements of spheres on the gyroid surface, which were obtained from Monte Carlo simulations of entropy-driven fluid-solid transitions, i.e. Alder transitions.