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.


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