Understanding the complexity of the nucleation and transition between the crystalline and
quasicrystalline is significant because the structural incommensurability is anisotropic and of …

Recently, metal‐based atomically thin materials (M‐ATMs) have experienced rapid
development due to their large specific surface areas, abundant electrochemically …

A cornerstone of materials physics is the principle that all properties of crystalline systems
are fundamentally determined based on the underlying potential energy surface (PES) …

Quasiperiodic patterns and crystals—having long range order without translational
symmetry—have fascinated researchers since their discovery. In this study, we report on …

The kinetic evolution of ordered phases, ie, single-cylinder (C1), stacked disks (Dk), and
single-helix (H1), formed by a cylinder-forming AB diblock copolymer melt under the …

We investigate the solution landscape of a reduced Landau–de Gennes model for nematic
liquid crystals (NLCs) on a two-dimensional hexagon at a fixed temperature, as a function of …

We present partial evolutionary tensor neural networks (pETNNs), a novel framework for
solving time-dependent partial differential equations with high accuracy and capable of …

In this paper, a generalized Allen–Cahn-type phase-field crystal model with face-centered-
cubic ordering structure is presented. By introducing a space-time dependent Lagrange …

Quasicrystals have extensive applications in material sciences. In this article, we develop an
unconditional energy-dissipation-preserving, temporally second-order accurate, and linear …

Saddle dynamics is a time continuous dynamics to efficiently compute the any-index saddle
points and construct the solution landscape. In practice, the saddle dynamics needs to be …