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We study the $m=3$ bootstrap percolation model on a cubic lattice, usingMonte Carlo simulation and finite-size scaling techniques. In bootstrappercolation, sites on a lattice are considered occupied (present) or vacant(absent) with probability $p$ or $1-p$, respectively. Occupied sites with lessthan $m$ occupied first-neighbours are then rendered unoccupied; this cullingprocess is repeated until a stable configuration is reached. We evaluate thepercolation critical probability, $p_c$, and both scaling powers, $y_p$ and$y_h$, and, contrarily to previous calculations, our results indicate that themodel belongs to the same universality class as usual percolation (i.e.,$m=0$). The critical spanning probability, $R(p_c)$, is also numericallystudied, for systems with linear sizes ranging from L=32 up to L=480: the valuewe found, $R(p_c)=0.270 \pm 0.005$, is the same as for usual percolation withfree boundary conditions.Comment: 11 pages; 4 figures; to appear in Int. J. Mod. Phys.

UNIVERSALITY CLASS FOR BOOTSTRAP PERCOLATION WITH m=3 ON THE CUBIC LATTICE