Universal behavior of crossover scaling functions for continuous phase transitions

Abstract

We consider two different systems exhibiting a continuous phase transition into an absorbing state. Both models belong to the same universality class, i.e., they are characterized by the same scaling functions and the same critical exponents. Varying the range of interactions we examine the crossover from the mean-field-like to the non-mean-field scaling behavior. A phenomenological scaling form is applied in order to describe the full crossover region which spans several decades. Our results strongly supports the hypotheses that the crossover function is universal.