knut0815 / inhom-quantum-boltzmann-fourier-matlab

Spatially inhomogeneous matrix-valued quantum Boltzmann equation using Fourier transformation (Matlab implementation)

Simulation of a spatially inhomogeneous matrix-valued quantum Boltzmann equation using Fourier transformation

Matlab implementation, test files and visualization routines for the simulations in "Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation" (see References). The main simulation files are simHomBoltzmann.m (spatially homogeneous) and simInhomBoltzmann.m (spatially inhomogeneous) in the code subfolder.

The visualization subfolder contains routines for visualizing the simulation output files. Call loadHomMatlab('../output/simdata_hom_N32_example.mat') and loadInhomMatlab('../output/simdata_inhom_N32_Dirichlet_example.mat') for the spatially homogeneous and inhomogeneous simulation examples, respectively.

Note that an alternative C implementation with the same functionality is also available online.

License

Copyright (c) 2014, Christian B. Mendl
All rights reserved.
http://christian.mendl.net

This program is free software; you can redistribute it and/or modify it under the terms of the Simplified BSD License http://www.opensource.org/licenses/bsd-license.php

References

1. Jianfeng Lu, Christian B. Mendl
   Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation
   Journal of Computational Physics 291, 303-316 (2015), arXiv:1408.1782
2. Martin L.R. Fürst, Christian B. Mendl, Herbert Spohn
   Matrix-valued Boltzmann equation for the Hubbard chain
   Physical Review E 86, 031122 (2012), arXiv:1207.6926