Matrix-valued quantum Boltzmann equation for the nonintegrable Hubbard chain
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README.md

Matrix-valued Boltzmann equation for the nonintegrable Hubbard chain

C source code, MathLink interface and Mathematica demonstration file for the simulations in "Matrix-valued Boltzmann equation for the nonintegrable Hubbard chain" (see References).

Compiling the source code:

  • Windows: Visual Studio project files are provided in the vcproj folder (standalone test files) and the vcproj_mlink folder (Mathematica MathLink interface)
  • Linux and similar: see the makefile in the test folder (standalone test files) and the mlink folder (Mathematica MathLink interface; you may have to adapt paths according to your local installation, and manually create the output directory, e.g., mlink/Linux-x86-64)

The Mathematica boltzmann_demo.cdf demonstration file can be viewed with the free CDF Player or opened and edited with Mathematica.

License

Copyright (c) 2012-2015, 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. 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
  2. Martin L.R. Fürst, Christian B. Mendl, Herbert Spohn
    Matrix-valued Boltzmann equation for the nonintegrable Hubbard chain
    Physical Review E 88, 012108 (2013), arXiv:1302.2075
  3. 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