Eur. Phys. J. B 24, 241-249 (2001)
https://doi.org/10.1007/s100510170011

Finite-size scaling in systems with long-range interaction

Institut für Theoretische Physik, Technische Hochshule Aachen, 52056 Aachen, Germany and Institute of Solid State Physics, 72 Tzarigradsko Chaussée, 1784 Sofia, Bulgaria

Corresponding author: ^a chamati@issp.bas.bg

Received: 2 July 2001
Revised: January 1900
Published online: 15 November 2001

Abstract

The finite-size critical properties of the vector model, with long-range interaction decaying algebraically with the interparticle distance r like , are investigated. The system is confined to a finite geometry subject to periodic boundary condition. Special attention is paid to the finite-size correction to the bulk susceptibility above the critical temperature T_c. We show that this correction has a power-law nature in the case of pure long-range interaction i.e. and it turns out to be exponential in case of short-range interaction i.e. . The results are valid for arbitrary dimension d, between the lower () and the upper () critical dimensions.