The crossover region between long-range and short-range interactions for the critical exponents
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Publication:2254894
DOI10.1007/S10955-014-1081-0zbMATH Open1318.82017arXiv1407.3358OpenAlexW2086458936WikidataQ57338347 ScholiaQ57338347MaRDI QIDQ2254894
Author name not available (Why is that?)
Publication date: 6 February 2015
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/1407.3358
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