Critical behavior of a 3D Ising-like system in the higher non-Gaussian approximation: Inclusion of the critical exponent of the correlation function

IR Yukhnovskii, MP Kozlovskii… - International Journal of …, 2014 - World Scientific
A microscopic description of the critical behavior of systems belonging to the universality
class of the three-dimensional (3D) Ising model is developed within the collective variables …

Calculation of free energy of a three-dimensional Ising-like system in an external field with the use of the ρ6 model

IV Pylyuk, MP Kozlovskii - Physica A: Statistical Mechanics and its …, 2010 - Elsevier
The microscopic approach to calculating the free energy of a three-dimensional Ising-like
system in a homogeneous external field is developed in the higher non-Gaussian …

Three-dimensional Ising-like system in an external field: Microscopic calculation of the free energy in the higher non-Gaussian approximation

IV Pylyuk - Phase Transitions, 2007 - Taylor & Francis
An analytic method for deriving the free energy of a three-dimensional Ising-like system near
the critical point in a homogeneous external field is developed in the the ρ6 model …

3D Ising System in an External Field. Recurrence Relations for the Asymmetric Model

IV Pylyuk, MP Kozlovskii - arxiv preprint cond-mat/0108123, 2001 - arxiv.org
The 3D one-component spin system in an external magnetic field is studied using the
collective variables method. The integration of the partition function of the system over the …

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

IV Pylyuk, MP Kozlovskii - International Journal of Modern Physics …, 2016 - World Scientific
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 …

Critical behaviour of a 3D Ising-like system in the\rho^ 6 model approximation: Role of the correction for the potential averaging

IV Pylyuk, MV Ulyak - arxiv preprint arxiv:1212.6139, 2012 - arxiv.org
The critical behaviour of systems belonging to the three-dimensional Ising universality class
is studied theoretically using the collective variables (CV) method. The partition function of a …

Calculation of free energy of three‐dimensional uniaxial magnet in external field based on the higher non‐Gaussian distribution

IV Pylyuk, MP Kozlovskii - AIP Conference Proceedings, 2009 - pubs.aip.org
The analytical calculation of the free energy of a three‐dimensional Ising‐like system in a
homogeneous external field is performed in the higher non‐Gaussian approximation (the ρ …

Order parameter of a three-dimensional Ising-like system in the simplest and higher non-Gaussian approximations

IV Pylyuk - arxiv preprint arxiv:1307.2011, 2013 - arxiv.org
The application of the collective variables method to the study of the behaviour of
nonuniversal characteristics of the system in the critical region is illustrated by an example of …

Free Energy of Three‐Dimensional Uniaxial Magnet in the Higher Non‐Gaussian Approximation and in the Presence of an External Field

MP Kozlovskii, IV Pylyuk - International Scholarly Research …, 2011 - Wiley Online Library
A three‐dimensional Ising‐like system in a homogeneous external field is studied on the
basis of the higher non‐Gaussian measure density (the ρ6 model). The presented solutions …

Method of Calculating the Free Energy of Three-Dimensional Ising-Like System in an External Field with the Use of the Model

IV Pylyuk, MP Kozlovskii - arxiv preprint arxiv:0812.1955, 2008 - arxiv.org
The microscopic approach to calculating the free energy of a three-dimensional Ising-like
system in a homogeneous external field is developed in the higher non-Gaussian …