Jamming transitions and avalanches in the game of Dots-and-Boxes.
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 a 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.
Metzler
Richard
R
Institut für Theoretische Physik und Astrophysik, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany.
Engel
Andreas
A