Jamming transitions and avalanches in the game of Dots-and-Boxes

Details Jamming transitions and avalanches in the game of Dots-and-Boxes Jamming transitions and avalanches in the game of Dots-and-Boxes

2002-03-20

arxiv.org/abs/cond-mat/0203418v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 8 figures, revtex4

Scientific paper

10.1103/PhysRevE.65.066108

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.

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