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Structural characteristics of a three-dimensional Ising-like system in the critical region

Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Street, 79011 Lviv, Ukraine

E-mail Address: piv@icmp.lviv.ua

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M. P. Kozlovskii

Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Street, 79011 Lviv, Ukraine

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https://doi.org/10.1142/S0217979216502325Cited by:0 (Source: Crossref)

Abstract

An analytic technique for calculating the correlation function and correlation radius of systems belonging to the universality class of the three-dimensional Ising model is elaborated within the collective variables (CV) method. The calculations of these nonuniversal characteristics are performed for the temperatures $T > T_{c}$ $T > T_{c}$ , $T < T_{c}$ $T < T_{c}$ and $T = T_{c}$ $T = T_{c}$ ( $T_{c}$ $T_{c}$ is the phase transition temperature) on the microscopic level in the approximation of the quartic distribution for modes of spin moment density oscillations (the $ρ^{4}$ $ρ^{4}$ model). Proceeding from the expression for the Fourier transform of the correlation function, we have also obtained the susceptibility of the system. The correction to scaling and the potential averaging correction are taken into account in our calculations.

Keywords:

PACS: 05.50.+q, 64.60.F−, 75.10.Hk

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