The crossover region between long-range and short-range interactions for   the critical exponents
  It is well know that systems with an interaction decaying as a power of the distance may have critical exponents that are different from those of short-range systems. The boundary between long-range and short-range is known, however the behavior in the crossover region is not well understood. In this paper we propose a general form for the crossover function and we compute it in a particular limit. We compare our predictions with the results of numerical simulations for two-dimensional long-range percolation. 
Edouard Brezin, Giorgio Parisi and Federico Ricci-Tersenghi
cond-mat.stat-mech