2005/09/11 by Michael P. Allen
Biochemistry, Genetics and Molecular Biology · Chemistry · Mathematics · Physics and Astronomy · #Artificial intelligence #Checkerboard #Computer science #Condensed matter physics #Dynamics (music) #Energy (signal processing) #Field (mathematics) #Geometry #Mathematics #Molecular spectroscopy and chirality #Monte Carlo method #Physics #Protein Structure and Dynamics #Quantum mechanics #Rank (graph theory) #Rotation (mathematics) #Spin (aerodynamics) #Spin model #Statistical physics #Statistics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.72.036703
6 pages, 3 figures, RevTex4
arxiv created 2005/09/11 · openalex publication_date 2005/09/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A spin dynamics algorithm, combining checkerboard updating and a rotation algorithm based on the local second-rank ordering field, is developed for the Lebwohl-Lasher model of liquid crystals. The method is shown to conserve energy well and to generate simulation averages that are consistent with those obtained by Monte Carlo simulation. However, care must be taken to avoid the undesirable effects of director rotation, and a method for doing this is proposed.