Jamming transitions and avalanches in the game of Dots-and-Boxes
Disordered Systems and Neural Networks
2009-11-07 v1
Abstract
We study the game of Dots-and-Boxes from a statistical point of view. The early game can be treated as a case of Random Sequential Adsorption, with a jamming transition that marks the beginning of the end-game. We derive set of differential equations to make predictions about the state of the lattice at the transition, and thus about the distribution of avalanches in the end-game.
Keywords
Cite
@article{arxiv.cond-mat/0203418,
title = {Jamming transitions and avalanches in the game of Dots-and-Boxes},
author = {Richard Metzler and Andreas Engel},
journal= {arXiv preprint arXiv:cond-mat/0203418},
year = {2009}
}
Comments
7 pages, 8 figures, revtex4