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.
2014
percolation with long-range interactions; cross-over to shortrange; critical phenomena
01 Pubblicazione su rivista::01a Articolo in rivista
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/660655
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