https://doi.org/10.1007/s100510170070
Two-point correlation function in systems with van der Waals type interaction
Institut für Theoretische Physik, Technische Hochschule
Aachen, 52056 Aachen, Germany and
Institute of Mechanics, Bulgarian Academy of Sciences, Acad.
G. Bonchev St. Building 4, 1113 Sofia, Bulgaria
Corresponding author: a danield@bgcict.acad.bg
Received:
28
May
2001
Published online: 15 September 2001
The behavior of the bulk two-point correlation function 
in d-dimensional system with van der Waals type
interactions is investigated and its consequences on the
finite-size scaling properties of the susceptibility in such
finite systems with periodic boundary conditions is discussed
within mean-spherical model which is an example of Ornstein and
Zernike type theory. The interaction is supposed to decay at large
distances r as 
, with 2< d< 4, 
and
. It is shown that 
decays as
for 
, exponentially for 
, where 
, and again in a power law
as for 
. The analytical form of the
leading-order scaling function of in any of these
regimes is derived.
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, 2001
