Search:
Match:
3 results
Research Paper#Liquid Crystals, Finite Element Method, Numerical Simulation🔬 ResearchAnalyzed: Jan 3, 2026 06:36

Finite Element Method for Liquid Crystal Defect Minimization

Published:Dec 31, 2025 15:37
1 min read
ArXiv

Analysis

This paper presents a numerical algorithm, based on the Alternating Direction Method of Multipliers and finite elements, to solve a Plateau-like problem arising in the study of defect structures in nematic liquid crystals. The algorithm minimizes a discretized energy functional that includes surface area, boundary length, and constraints related to obstacles and prescribed curves. The work is significant because it provides a computational tool for understanding the complex behavior of liquid crystals, particularly the formation of defects around colloidal particles. The use of finite elements and the specific numerical method (ADMM) are key aspects of the approach, allowing for the simulation of intricate geometries and energy landscapes.
Reference

“The algorithm minimizes a discretized version of the energy using finite elements, generalizing existing TV-minimization methods.”

PermalinkArXiv
Research Paper#Colloidal Crystals, Defect Engineering, Particle Shape🔬 ResearchAnalyzed: Jan 3, 2026 16:43

Particle Shape Controls Defects in Colloidal Crystals on Spheres

Published:Dec 30, 2025 18:33
1 min read
ArXiv

Analysis

This paper investigates how the shape of particles influences the formation and distribution of defects in colloidal crystals assembled on spherical surfaces. This is important because controlling defects allows for the manipulation of the overall structure and properties of these materials, potentially leading to new applications in areas like vesicle buckling and materials science. The study uses simulations to explore the relationship between particle shape and defect patterns, providing insights into how to design materials with specific structural characteristics.
Reference

“Cube particles form a simple square assembly, overcoming lattice/topology incompatibility, and maximize entropy by distributing eight three-fold defects evenly on the sphere.”

PermalinkArXiv
Research Paper#Nanomaterials, Copper Selenide, Plasmonics, Optoelectronics🔬 ResearchAnalyzed: Jan 3, 2026 20:12

Synthesis and Properties of Quasi-2D Copper Selenide Nanocrystals

Published:Dec 26, 2025 17:15
1 min read
ArXiv

Analysis

This paper presents a novel synthesis method for producing quasi-2D klockmannite copper selenide nanocrystals, a material with interesting semiconducting and metallic properties. The study focuses on controlling the shape and size of the nanocrystals and investigating their optical and photophysical properties, particularly in the near-infrared (NIR) region. The use of computational modeling (CSDDA) to understand the optical anisotropy and the exploration of ultrafast photophysical behavior are key contributions. The findings highlight the importance of crystal anisotropy in determining the material's nanoscale properties, which is relevant for applications in optoelectronics and plasmonics.
Reference

“The study reveals pronounced optical anisotropy and the emergence of hyperbolic regime in the NIR.”

PermalinkArXiv