Tools

Tools I've built to make my research, teaching, or administrative work easier, shared in case others find them useful.

Vista
Interactive viewer for crystal and magnetic structures and their symmetry.

Spin texture shown as arrows on a sphere

Find Γ
Spin-space symmetry analysis of magnetic structures, and the responses allowed in the non-relativistic limit.

PRISM
Course and program lookup for the University of Windsor undergraduate calendar. Unofficial.

Tracked changes between two versions of a bylaw in FOLIO

FOLIO
Search and read University of Windsor bylaws and policies, with the original documents and their version history. Unofficial.

Interactive Simulations

A collection of interactive physics simulations for various physics topics. They are primarily intended for educational purposes, to help visualize and explore various physical phenomena. Each simulation is built to be as interactive as possible to allow users to probe the simulation and see results in real-time.

Electromagnetism

This set of simulations illustrates various concepts in electromagnetism. Most simulation elements and properties being adjustable by the user and a handful of preset configurations are provided. The underlying implemention is GPU-accelerated using WebGL fragment shaders. These are heavily inspired by the work of Paul Falstad.

Field and potential for parallel plate capacitor.

Electrostatics
Solve for electric potential and field from static charges, dielectrics, and ideal conductors in two dimensions.
Methods: Relaxation Gauss-Seidel SOR

Magnetostatics
Compute magnetic fields from static current sources, ferromagnets and magnetic materials in two dimensions.
Methods: Relaxation Gauss-Seidel SOR

Maxwell's Equations
Determine for electric and magnetic fields from time-dependent currents, dielectrics, and conductors in two dimensions (TE).
Methods: FDTD Yee's algorithm

Statistical Physics

This set of simulations illustrates various concepts in statistical physics. The Ising model, XY model, and Ice model simulations are GPU-accelerated using WebGL fragment shaders.

Critical spin configuration in 2D Ising Model

Ising Model
Monte Carlo simulation of the two-dimensional Ising model using the Metropolis-Hastings algorithm.
Methods: Monte Carlo Metropolis-Hastings

XY Model
Simulation of the XY model using Langevin dynamics.
Methods: Langevin dynamics Euler–Maruyama

Gas of monopoles in the square ice model

Ice Model
Monte Carlo simulation of the square ice model using Metropolis-Hastings and loop flip dynamics.
Methods: Monte Carlo Metropolis-Hastings