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Accurate numerical results are presented for the three-dimensionalequivalent-neighbor model on a cubic lattice, for twelve different interactionranges (coordination number between 18 and 250). These results allow thedetermination of the range dependences of the critical temperature and variouscritical amplitudes, which are compared to renormalization-group predictions.In addition, the analysis yields an estimate for the interaction range at whichthe leading corrections to scaling vanish for the spin-1/2 model and confirmsearlier conclusions that the leading Wegner correction must be negative for thethree-dimensional (nearest-neighbor) Ising model. By complementing theseresults with Monte Carlo data for systems with coordination numbers as large as52514, the full finite-size crossover curves between classical and Ising-likebehavior are obtained as a function of a generalized Ginzburg parameter. Alsothe crossover function for the effective magnetic exponent is determined.

Critical properties of the three-dimensional equivalent-neighbor model and crossover scaling in finite systems