Statics of a "self-organized" percolation model.

A stochastic forest-fire'' model is considered. Sites are filled individually at a constant mean rate; also, sparks'' are dropped at a small rate [ital k], and instantaneously burn up the entire cluster they hit. I find [ital nontrivial] critical exponents in the self-organized critical limit [ital k][r arrow]0, contrary to earlier results of Drossel and Schwabl. Spatial correlation functions and a site occupancy correlation exponent are measured for the first time. Scaling relations, derived by analogy to uncorrelated percolation, are used extensively as numerical checks. Hyperscaling is violated in this system.