Condensed Matter Physics, 2000, vol. 3, No. 4(24), p. 737-747, English
DOI:10.5488/CMP.3.4.737
Title:
ON THE CUMULANT EXPANSION PECULIARITY FOR PARTITION FUNCTION FUNCTIONAL OF
THE CLUSTER DE GENNES MODEL
Author(s):
N.A.Korynevskii (Institute for Condensed Matter Physics of the National
Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine)
The problem of the functional representation for cluster de Gennes model
partition function within the collective variables method is discussed.
Contrary to the usual Ising model case the coefficients of the obtained
partition function functional (cluster cumulants) depend on temperature
$T$ and transverse field $\Gamma$. Therefore there exists a rigorous
limitation on the value of $\Gamma$ parameter at low temperatures. The
equation for maximum value $\Gamma_l$, temperature and short-range
intracluster interaction $V$ is obtained. The solutions of this equation
have been found.
Comments:
Figs. 2, Refs. 7, Tabs. 1.