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.
CITATION STYLE
Brezin, E., Parisi, G., & Ricci-Tersenghi, F. (2014). The Crossover Region Between Long-Range and Short-Range Interactions for the Critical Exponents. Journal of Statistical Physics, 157(4–5), 855–868. https://doi.org/10.1007/s10955-014-1081-0
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