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Three-dimensional N-vector spin models may define universality classes forsuch diverse phenomena as i) the superfluid transition in liquid helium(currently investigated in the micro-gravity environment of the Space Shuttle)and ii) the transition from hadronic matter to a quark-gluon plasma, studied inheavy-ion collisions at the laboratories of Brookhaven and CERN. The modelshave been extensively studied both by field-theoretical and by statisticalmechanical methods, including Monte Carlo simulations using cluster algorithms.These algorithms are applicable also in the presence of a magnetic field. Keyquantities for the description of the transitions above -- such as universalcritical amplitude ratios and the location of the so-called pseudo-criticalline -- can be obtained from the models' magnetic equation of state, whichrelates magnetization, external magnetic field and temperature. Here we presentan improved parametrization for the equation of state of the models, allowing abetter fit to the numerical data. Our proposed form is inspired by perturbationtheory, with coefficients determined nonperturbatively from fits to the data.Comment: 6 pages, 2 figures. Work presented at the IV Brazilian Meeting on  Simulational Physics -- Ouro Preto - MG/Brazil, August 200

Numerical simulation of N-vector spin models in a magnetic field