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. © 2014 Springer Science+Business Media New York.
The Crossover Region Between Long-Range and Short-Range Interactions for the Critical Exponents / E., Brezin; Parisi, Giorgio; RICCI TERSENGHI, Federico. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - 157:(2014), pp. 855-868. [10.1007/s10955-014-1081-0]
The Crossover Region Between Long-Range and Short-Range Interactions for the Critical Exponents
PARISI, Giorgio;RICCI TERSENGHI, Federico
2014
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. © 2014 Springer Science+Business Media New York.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
