The Computational Complexity of the Lorentz Lattice Gas
comp-gas
2009-10-28 v1 Cellular Automata and Lattice Gases
Abstract
The Lorentz lattice gas is studied from the perspective of computational complexity theory. It is shown that using massive parallelism, particle trajectories can be simulated in a time that scales logarithmically in the length of the trajectory. This result characterizes the ``logical depth" of the Lorentz lattice gas and allows us to compare it to other models in statistical physics.
Cite
@article{arxiv.comp-gas/9607001,
title = {The Computational Complexity of the Lorentz Lattice Gas},
author = {J. Machta and K. Moriarty},
journal= {arXiv preprint arXiv:comp-gas/9607001},
year = {2009}
}
Comments
9 pages, LaTeX, to appear in J. Stat. Phys