Scanning the critical fluctuations: application to the phenomenology of the two-dimensional XY model.

We show how applying field conjugated to the order parameter may act as a very precise probe to explore the probability distribution function of the order parameter. Using this "magnetic-field scanning" on large-scale numerical simulations of the critical two-dimensional XY model, we are able to discard the conjectured double-exponential form of the large-magnetization asymptote.