It might be necessary to make teams for the semester projects. However,
you are responsible to clearly state what each student's contribution
was. Keep in mind that a simple Q&A during the presentation will show
if you did the work or not... The projects will be supervised by Helmut
Katzgraber (HGK), Andrew Ochoa (AJO), Zheng Zhu (ZZ) and Richard
Lawrence (RL). Please contact your assistants as early as possible to
get reading material. The LaTeX macro for the report can be found HERE.
Easier projects (undergrads preferred)
Percolation transition on different lattices (Lazar Kish, AJO)
Self-avoiding random walks in d = 1...4 (Cristian Cernov, HGK)
The three-dimensional Ising model (Brendan Hill, AJO)
Closed orbits for the 3-body problem with 4th-order symplectic algs (Nick Mondrik, AJO)
Optimize a class or train schedule using genetic algorithms (Frank Chu, ZZ)
Study the traveling salemesman problem with genetic algorithms (Max Shannon, ZZ)
Avalanches in the BTW sand-pile model (Sarah Henry, ZZ)
Avalanches in the random-field Ising model using Glauber dynamics (ZZ)
Predator-prey models (Joseph Garvie, AJO)
Solitons (Roberto Ortiz, RL)
Heat transfer simulations by solving PDEs on nontrivial topologies (Colin Whisler, ZZ)
Testing RNGs using the Wolff cluster algorithm (Kirk Byers, HGK)
Fractals and parallel computing (Richard Haines, HGK)
Wang-Landau simulation of the Ising model (James Bounds, AJO)
Simulated annealing for spin glasses (Layla Bakhtiari, HGK)
Stochastic ODEs in finance and the Black-Scholes (Brian Kelly & Elliott Levin, ZZ)
Population annealing of the Ising model, compare to exact (RL)
Time-dependent quantum problem (Daniel Krause, ZZ)
Crank-Nicols method for the diffusion equation in 1D (Jeena Khatri, AJO)
Relaxation method for electric potentials on 2D C-shaped cavity (ZZ)
Minimum vertex covers (Leonardo Bello, HGK)
Analyze music with Fourier transforms (Michelle Thomas, AJO)
Variational ansatz for ground state of simple atoms/molecules (AJO)
Autocorrelation times of the Ising ferromagnet in 2D (Jared Nelson, ZZ)
Harder projects (grads preferred)
2D Ising model with different cluster algorithms; critical parameters (Ben Schroeder, AJO)
2D q-state Potts model via Wang Landau (Saeed Asiri and Abdullah Alturki, HGK)
Variational QMC to find ground state of anharmonic oscillator potential (Dangallage Jayatissa and Joshua Hooker, ZZ)
Close packings of hard spheres and jamming/crystallization (ZZ)
Exact diagonalization of the 1D Hubbard model (Amin Barzegar, HGK)
Hysteretic optimization for Sherrington-Kirkpatrick model (Longfei Fan, ZZ)
Tensor network algorithm for 2D Ising model (Austin Schneider & Nicholas Closuit, ZZ)
Monte Carlo simulation of the 3D Heisenberg model (Timur Akhmedzhanov, HGK)