Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-09-04
Europ. Phys. J. B vol. 26 (2002) 1, 89-99
Physics
Condensed Matter
Statistical Mechanics
14 pages, revtex
Scientific paper
10.1140/epjb/e20020070
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 $\epsilon$-expansion scheme under periodic boundary conditions. We suppose a van der Waals type long-range interaction falling apart with the distance r as $r^{-(d+\sigma)}$, where $2<\sigma<4$, 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 $T_c$ 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.
Chamati Hassan
Dantchev Daniel M.
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