https://doi.org/10.1140/epjb/e20020070
Renormalization group treatment of the scaling properties of finite systems with subleading long-range interaction
1
Institute of Solid State Physics - BAS,
Tzarigradsko chaussée 72, 1784 Sofia, Bulgaria
2
Institute of Mechanics - BAS, Acad. G. Bonchev St. bl. 4,
1113 Sofia, Bulgaria
Corresponding author: a danield@bgcict.acad.bg
Received:
8
August
2001
Published online: 15 March 2002
The finite size behavior of the susceptibility, Binder cumulant
and some even moments of the magnetization of a fully finite
O(n) cubic system of size L are analyzed and the corresponding
scaling functions
are derived within a field-theoretic ε-expansion
scheme under periodic boundary conditions.
We suppose a van der Waals type long-range interaction
falling apart with the distance r as , where
, which does not change the short-range critical
exponents of the system. Despite that the system belongs to the
short-range universality class it is shown that above the bulk
critical temperature Tc the finite-size corrections decay in a
power-in-L, and not in an exponential-in-L law, which is
normally believed to be a characteristic feature for such systems.
PACS: 64.60.-i – General studies of phase transitions / 64.60.Fr – Equilibrium properties near critical points, critical exponents / 75.40.-s – Critical-point effects, specific heats, short-range order
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002