**MONOGRAPHS**

- I.R.Yukhnovskii, M.P.Kozlovskii, I.V.Pylyuk, "Microscopic theory of phase transitions in the three-dimensional systems", Eurosvit, Lviv, 2001, 592 p. (in Ukrainian).

**OTHER REFEREED PUBLICATIONS**

- I.M.Zelenchuk, I.V.Pylyuk, Z.A.Gursky, M.P.Kozlovsky, "The first principle calculation of the binary substitution alloy order- disorder phase diagram", Ukr. Fiz. Zh., V. 33, No 8, P. 1197-1200 (1988).
- M.P.Kozlovsky, I.V.Pylyuk, "Calculation of the correlation length critical exponent of the three-dimensional Ising model with the use of non-Gaussian basis measures", Proc. of the All-Union Conference "Modern Problems of Statistical Physics", Lviv, February 3-5, 1987, V. 2, Kiev, Naukova Dumka, 1989, P. 50-56.
- M.P.Kozlovsky, I.V.Pylyuk, "Study of critical characteristics of the three-dimensional Ising model with the use of non-Gaussian density measures", Ukr. Fiz. Zh., V. 35, No 1, P. 146-147 (1990).
- I.V.Pylyuk, M.P.Kozlovsky, "The contribution of the confluent corrections to the thermodynamics of the 3D Ising model", Izv. Acad. Nauk SSSR, Ser. fiz., V. 55, No 3, P. 597-601 (1991).
- I.R.Yukhnovskii, M.P.Kozlovskii, I.V.Pylyuk, "A method for the calculation of thermodynamic functions for the 3D model systems in the critical region", Z. Naturforsch., V. 46a, P. 1-7 (1991).
- I.V.Pylyuk, "Dependence of thermodynamic functions of the three-dimensional Ising model in the vicinity of the phase transition point on the microscopic parameters of the Hamiltonian", Proc. of 4th Conference of Young Scientist of the Physical Department of Lviv University, Lviv, April 18-19, 1990, Kiev, 1991, UkrNIINTI, No 763-Uk91, P. 2-4.
- M.P.Kozlovskii, I.V.Pylyuk, I.R.Yukhnovskii, "Thermodynamic
functions of three-dimensional Ising model near the phase
transition point with allowance for corrections to scaling. I. The
case T>T
_{c}", Theor. Math. Phys., V. 87, No 2, P. 540-556 (1991). - M.P.Kozlovskii, I.V.Pylyuk, I.R.Yukhnovskii, "Thermodynamic functions of three-dimensional Ising model near the phase transition point with allowance for corrections to scaling. II. The case T<Tc", Theor. Math. Phys., V. 87, No 3, P. 641-656 (1991).
- M.P.Kozlovskii, I.V.Pylyuk, "Entropy and specific heat of the 3D Ising model as functions of temperature and microscopic parameters of the system", Phys. Stat. Sol. (b), V. 183, P. 243-249 (1994).
- M.P.Kozlovskii, I.V.Pylyuk, Z.E.Usatenko, "Investigation of dependence of a phase-transition temperature for Ising-like systems on parameters of an interaction potential", Ukr. Fiz. Zh., V. 40, No 10, P. 1141-1149 (1995).
- V.V.Dukhovii, M.P.Kozlovskii, I.V.Pylyuk, "Equation of state for the 3D Ising model from microscopic level calculations", Theor. Math. Phys., V. 107, No 2, P. 650-666 (1996).
- I.V.Pylyuk, "Special functions for the investigation of critical properties of the three-dimensional Ising model in the frames of the sixth power measure density", Ukr. Fiz. Zh., V. 41, No 9, P. 885-894 (1996).
- M.P.Kozlovskii, I.V.Pylyuk, Z.E.Usatenko, "Method of calculating the critical temperature of three-dimensional Ising-like system using the non-Gaussian distribution", Phys. Stat. Sol. (b), V. 197, P. 465-477 (1996).
- M.P.Kozlovskii, I.V.Pylyuk, V.V.Dukhovii, "Equation of state of the 3D Ising model with an exponentially decreasing potential in the external field", J. Magn. Magn. Mater., V. 169, P. 335-342 (1997).
- M.P.Kozlovskii, I.V.Pylyuk, V.V.Dukhovii, "Calculation method for the three-dimensional Ising ferromagnet thermodynamics within the frames of $\rho^6$ model", Condens. Matter Phys., No 11, P. 17-49 (1997).
- I.V.Pylyuk, "Critical behavior of the three-dimensional Ising system: Dependence of thermodynamic characteristics on microscopic parameters", Teor. Mat. Fiz., V. 117, No 3, P. 442-470 (1998).
- I.V.Pylyuk, "Description of critical behavior of Ising ferromagnet in the $\rho^6$ model approximation taking into account confluent correction. I. Region above the phase transition point", Low Temp. Phys., V. 25, No 11, P. 877-888 (1999).
- I.V.Pylyuk, "Description of critical behavior of Ising ferromagnet in the $\rho^6$ model approximation taking into account the confluent correction. II. Region below the phase transition point", Low Temp. Phys., V. 25, No 12, P. 953-961 (1999).
- M.P.Kozlovskii, V.V.Dukhovii, I.V.Pylyuk, "Self-consistent description of the critical behaviour of three-dimensional Ising-like systems: The phase transition temperature as a function of microscopic parameters", Ukr. J. Phys., V. 45, No 4-5, P. 512-514 (2000).
- M.P.Kozlovskii, V.V.Dukhovii, I.V.Pylyuk, "Dependence of the critical temperature on microscopic parameters in the three-dimensional Ising-like systems", Condens. Matter Phys., V. 3, No 4(24), P. 727-736 (2000).
- I.V.Pylyuk, M.P.Kozlovskii, "3D Ising system in an external field. Recurrence relations for the asymmetric $\rho^6$ model", Condens. Matter Phys., V. 4, No 1(25), P. 15-24 (2001).
- I.V.Pylyuk, "Thermodynamic characteristics of three-dimensional Ising-like systems as functions of microscopic parameters. The $\rho^6$ model approximation", J. Phys. Stud., V. 5, No 3/4, P. 221-232 (2001).
- I.R.Yukhnovskii, M.P.Kozlovskii, I.V.Pylyuk, "Thermodynamics of three-dimensional Ising-like systems in the higher non-Gaussian approximation: Calculational method and dependence on microscopic parameters", Phys. Rev. B, V. 66, No 13, 134410 (18 pages) (2002).
- I.R.Yukhnovskii, I.V.Pylyuk, M.P.Kozlovskii, "Study of the critical behaviour of three-dimensional Ising-like systems on the basis of the $\rho^6$ model with allowance for microscopic parameters: I. High-temperature region", J. Phys.: Condens. Matter, V. 14, No 43, P. 10113-10129 (2002).
- I.R.Yukhnovskii, I.V.Pylyuk, M.P.Kozlovskii, "Study of the critical behaviour of three-dimensional Ising-like systems on the basis of the $\rho^6$ model with allowance for microscopic parameters: II. Low-temperature region", J. Phys.: Condens. Matter, V. 14, No 45, P. 11701-11715 (2002).
- M.P.Kozlovskii, I.V.Pylyuk, O.O.Prytula, "Microscopic analogue of the Landau free energy for three-dimensional Ising-like systems", Condens. Matter Phys., V. 6, No 2(34), P. 197-204 (2003).
- M.P.Kozlovskii, I.V.Pylyuk, O.O.Prytula, "Behaviour of a three-dimensional uniaxial magnet near the critical point in an external field", Condens. Matter Phys., V. 7, No 2(38), P. 361-382 (2004).
- I.V.Pylyuk, M.P.Kozlovskii, O.O.Prytula, "Analytic method of calculating thermodynamic functions for Ising-like system in an external field", Ferroelectrics, V. 317, P. 43-47 (2005).
- M.P.Kozlovskii, I.V.Pylyuk, O.O.Prytula, "Behaviour of the order parameter of the simple magnet in an external field", Condens. Matter Phys., V. 8, No 4(44), P. 749-760 (2005).
- M.P.Kozlovskii, I.V.Pylyuk, O.O.Prytula, "Microscopic description of the critical behavior of three-dimensional Ising-like systems in an external field", Phys. Rev. B, V. 73, No 17, 174406 (13 pages) (2006).
- I.V.Pylyuk, "Three-dimensional Ising-like system in an external field. Microscopic approach to description of the critical behaviour using the asymmetric $\rho^4$ model", J. Magn. Magn. Mater., V. 305, P. 216-220 (2006).
- M.P.Kozlovskii, I.V.Pylyuk, O.O.Prytula, "Critical behaviour
of a three-dimensional one-component magnet in strong and weak
external fields at T>T
_{c}", Physica A, V. 369, P. 562-576 (2006). - M.P.Kozlovskii, I.V.Pylyuk, O.O.Prytula, "Free energy and equation of state of Ising-like magnet near the critical point", Nucl. Phys. B, V. 753 [FS], P. 242-251 (2006).
- I.V.Pylyuk, "Three-dimensional Ising-like system in an external field: Microscopic calculation of the free energy in the higher non-Gaussian approximation", Phase Transitions, V. 80, No 1-2, P. 11-16 (2007).
- I.V.Pylyuk, M.P.Kozlovskii, "Calculation of free energy of three-dimensional uniaxial magnet in external field based on the higher non-Gaussian distribution", AIP Conf. Proc., V. 1198, P. 132-143 (2009).
- I.V.Pylyuk, M.P.Kozlovskii, "Calculation of free energy of a three-dimensional Ising-like system in an external field with the use of the $\rho^6$ model", Physica A, V. 389, P. 5390-5401 (2010).
- M.P.Kozlovskii, I.V.Pylyuk, "Free energy of three-dimensional uniaxial magnet in the higher non-Gaussian approximation and in the presence of an external field", ISRN Condensed Matter Physics, V. 2011, 260750 (11 pages) (2011).
- I.R.Yukhnovskii, M.P.Kozlovskii, I.V.Pylyuk, "Method for the calculation of free energy in a three-dimensional Ising-like system taking into account a correction for the interaction potential averaging", Ukr. J. Phys., V. 57, No 1, P. 80-94 (2012).
- I.V.Pylyuk, M.V.Ulyak, "Critical behaviour of a 3D Ising-like system in the $\rho^6$ model approximation: Role of the correction for the potential averaging", Condens. Matter Phys., V. 15, No 4, 43006 (10 pages) (2012).
- I.V.Pylyuk, "Order parameter of a three-dimensional Ising-like system in the simplest and higher non-Gaussian approximations", Condens. Matter Phys., V. 16, No 2, 23007 (9 pages) (2013).
- I.R.Yukhnovskii, M.P.Kozlovskii, I.V.Pylyuk, "Critical behavior of a 3D Ising-like system in the higher non-Gaussian approximation: Inclusion of the critical exponent of the correlation function", Int. J. Mod. Phys. B, V. 28, No 24, 1450160 (16 pages) (2014).
- M.P.Kozlovskii, I.V.Pylyuk, "Analytical description of the critical behavior of a three-dimensional uniaxial magnet in an external field by singling out a reference system", Ukr. J. Phys., V. 60, No 4, P. 362-370 (2015).
- I.V.Pylyuk, M.P.Kozlovskii, "Correlation function and susceptibility of Ising magnet in a vicinity of the phase transition point", Ukr. J. Phys., V. 60, No 10, P. 1075-1081 (2015).
- I.V.Pylyuk, M.P.Kozlovskii, "Structural characteristics of a three-dimensional Ising-like system in the critical region", Int. J. Mod. Phys. B, V. 30, No 32, 1650232 (14 pages) (2016).
- M.P.Kozlovskii, O.A.Dobush, I.V.Pylyuk, "Using a cell fluid model for the description of a phase transition in simple liquid alkali metals", Ukr. J. Phys., V. 62, No 10, P. 865-873 (2017).
- M.P.Kozlovskii, I.V.Pylyuk, O.A.Dobush, "The equation of state of a cell fluid model in the supercritical region", Condens. Matter Phys., V. 21, No 4, 43502 (26 pages) (2018).
- I.V.Pylyuk, "Fluid critical behavior at liquid-gas phase transition: Analytic method for microscopic description", J. Mol. Liq., V. 310, 112933 (14 pages) (2020).
- I.V.Pylyuk, O.A.Dobush, "Equation of state of a cell fluid model with allowance for Gaussian fluctuations of the order parameter", Ukr. J. Phys., V. 65, No 12, P. 1080-1088 (2020).

**PAPERS PRESENTED AT MEETINGS AND SYMPOSIA**

- M.P.Kozlovsky, V.A.Kolomijets, I.V.Pylyuk, "Numerical calculations for threedimension Ising model", Abstr. of Contrib. of 2nd Soviet-Italian Symposium on the Mathematical Problems of Statistical Physics, Lvov, September 30 - Oktober 11, 1985, Kiev, 1985, P. 143-144.
- M.P.Kozlovskii, I.V.Pylyuk, "Calculation of thermodynamic functions near phase transition point in sixth power basis measure approximation", Abstr. of Contrib. of the All-Union Conference "Modern Problems of Statistical Physics", Lviv, February 1987, Part 2, Kiev, 1987, P. 39-40.
- I.V.Pylyuk, M.P.Kozlovskii, "Calculation of the correlation length critical exponent of the three-dimensional Ising model in eighth power basis measure approximation", Abstr. of Contrib. of the All-Union Conference "Modern Problems of Statistical Physics", Lviv, February 1987, Part 2, Kiev, 1987, P. 50-51.
- I.V.Pylyuk, M.P.Kozlovskii, "The contribution of the confluent corrections to the thermodynamics of the 3D Ising model", Abstr. of Contrib. of 1st Soviet-Polish Symposium on Physics of Ferroelectrics and Related Materials, Lviv, June 4-8, 1990, Kiev, 1990, P. 16-17.
- M.P.Kozlovskii, I.V.Pylyuk, "Thermodynamics of the 3D Ising model in sixth power measure density approximation and the dependence on the microscopic parameters of the Hamiltonian of the system", Abstr. of Contrib. of the All-Union Conference "Modern Problems of Statistical Physics", Kharkiv, May 14-17, 1991, Kharkiv, 1991, P. 80-81.
- M.P.Kozlovskii, I.V.Pylyuk, "A metod of calculation of thermodynamic functions in the critical region", Abstr. of Contrib. of 5th All-Union Seminar on Physics of Ferroelastics, Uzhgorod, September 16-22, 1991, Uzhgorod, 1991, P. 16.
- M.P.Kozlovskii, I.V.Pylyuk, "Thermodynamic characteristics of the 3D Ising model as the functions of the microscopic parameters the system. The quartic distribution approximation", Abstr., Inf. & Partic. of Ukrainian-French Symposium "Condensed Matter: Science & Industry", Lviv, February 20-27, 1993, Lviv, 1993, P. 240.
- I.V.Pylyuk, "The development of the method for the calculation of thermodynamic functions for 3D single-component spin system in the critical region on the basis of sixfold measure density", Abstr., Inf. & Partic. of Ukrainian-French Symposium "Condensed Matter: Science & Industry", Lviv, February 20-27, 1993, Lviv, 1993, P. 244.
- M.Kozlovskii, I.Pylyuk, "The use of non-Gaussian basis measures for description of the critical behaviour of 3D system", Progr. & Abstr. of the 19th IUPAP International Conference on Statistical Physics "Statphys 19", Xiamen, China, July 31 - August 4, 1995, Xiamen, 1995, P. 68.
- M.Kozlovskii, I.Pylyuk, V.Dukhovii, "Equation of state for 3D Ising model in the external field", Progr. and Abstr. of 6th European Magnetic Materials and Applications Conference, Wien, September 4-8, 1995, Wien, 1995, P. 246.
- M.Kozlovskii, I.Pylyuk, V.Dukhovii, "Equation of state of the generalized 3D Ising model in the external field", Progr. and Abstr. of International Workshop on Statistical Physics and Condensed Matter Theory, Lviv, September 11-14, 1995, Lviv, 1995, P. 53.
- I.Pylyuk, "Thermodynamic functions of the 3D Ising model in $\rho^6$-approximation taking into account the confluent correction", Progr. and Abstr. of International Workshop on Statistical Physics and Condensed Matter Theory, Lviv, September 11-14, 1995, Lviv, 1995, P. 55.
- M.P.Kozlovskii, I.V.Pylyuk, V.V.Dukhovii, "Microscopic analogy of the Landau free energy for the Ising model", Progr. and Abstr. of Contrib. of Workshop on Condensed Matter Statistical Theory, Lviv, March 14-15, 1997, Lviv, 1997, P. 23.
- M.P.Kozlovskii, I.V.Pylyuk, V.V.Dukhovii, "Critical behaviour of 3D Ising model in frames of non-Gaussian sixth power measure density", ICM'97 Progr. and Abstr. Booklet, International Conference on Magnetism, Cairns, Australia, 27 July - 1 August, 1997, K3-22.
- I.V.Pylyuk, V.V.Dukhovii, "Description of 3D Ising-like system thermodynamics on the basis of non-Gaussian sixth power measure density", INTAS-UKRAINE WORKSHOP on Condensed Matter Physics, Lviv, May 21-24, 1998, Lviv, 1998, P. 98.
- I.V.Pylyuk, M.P.Kozlovskii, V.V.Dukhovii, "Investigation of critical behaviour of 3D one-component spin system using the sextic measure density", Book of Abstr., XXth IUPAP International Conference on Statistical Physics "Statphys 20", Paris, July 20-24, 1998, Paris, 1998, T0422 : PO01/122, P. 33.
- V.Dukhovii, I.Pylyuk, M.Kozlovskii, "Investigation of critical behaviour of 3D Ising-like systems", Progr. & Abstr. of Contrib. of 1st Ukrainian Seminar on Physics of Ferroelectrics and Related Materials, Lviv, Ukraine, August 26-28, 1999, Lviv, 1999, P. 43.
- M.P.Kozlovskii, I.V.Pylyuk, "Microscopic calculation of 3D Ising-like system thermodynamics in the $\rho^6$ model approximation", Book of Abstr., XIII International Congress on Mathematical Physics, Imperial College, London, UK, 17-22 July 2000, P. 42.
- I.Pylyuk, M.Kozlovskii, "Three-dimensional Ising system in an external field. Recurrence relations for the $\rho^6$ model", Book of Abstr., Workshop on Modern Problems of Soft Matter Theory, Lviv, Ukraine, 27-31 August 2000, Lviv, 2000, P. 159.
- I.V.Pylyuk, "Thermodynamic characteristics of three-dimensional Ising-like systems as functions of microscopic parameters. The $\rho^6$ model approximation", Quantum Phases and Phase Transitions, Abstr., Progr., Inf. of the 2nd International Pamporovo Workshop on Cooperative Phenomena in Condensed Matter, Pamporovo, Bulgaria, 28th July - 7th August 2001, Sofia, 2001, P. 19.
- I.R.Yukhnovskii, M.P.Kozlovskii, I.V.Pylyuk, "Three-dimensional Ising-like system in an external field. Asymmetric $\rho^6$ model", Abstr. of International Conference "PHYSICS OF LIQUID MATTER: MODERN PROBLEMS", Kyiv, Ukraine, September 14-19, 2001, Kyiv, 2001, P. 53.
- M.P.Kozlovskii, I.V.Pylyuk, O.O.Prytula, "Microscopic analog of the Landau free energy of three-dimensional Ising-like systems", Progr. and Abstr. Book, VI Ukrainian-Polish and II East-European Meeting on Ferroelectrics Physics, Uzhgorod-Synjak, Ukraine, September 6-10, 2002, Uzhgorod-Synjak, 2002, P. 95.
- M.P.Kozlovskii, I.V.Pylyuk, O.O.Prytula, "Influence of an external field on the critical behaviour of a three-dimensional magnet", Abstr. of the 2nd International Conference "PHYSICS OF LIQUID MATTER: MODERN PROBLEMS", Kyiv, Ukraine, September 12-15, 2003, Kyiv, 2003, P. 58.
- I.V.Pylyuk, M.P.Kozlovskii, O.O.Prytula, "Analytic method of calculating thermodynamic functions for Ising-like system in an external field", Book of Abstr., NATO Advanced Research Workshop "Dimensionality Effects and Non-Linearity in Ferroics", Lviv, Ukraine, October 19-22, 2004, Lviv, 2004, P. 87.
- M.P.Kozlovskii, I.V.Pylyuk, O.O.Prytula, "Three-dimensional Ising-like system in an external field: Field-dependent susceptibility", Abstr. of the 3rd International Conference "PHYSICS OF LIQUID MATTER: MODERN PROBLEMS", Kyiv, Ukraine, May 27-31, 2005, Kyiv, 2005, P. 101.
- M.P.Kozlovskii, I.V.Pylyuk, O.O.Prytula, "Behaviour of the order parameter of the simple magnet in an external field", Book of Abstr., Annual Conference in Ukraine "Statistical Physics 2005: Modern Problems and New Applications", Lviv, Ukraine, August 28-30, 2005, Lviv, 2005, P. 144.
- I.V.Pylyuk, "Three-dimensional Ising-like system in an external field: Microscopic calculation of the free energy in the higher non-Gaussian approximation", Book of Abstr., VIII Ukrainian-Polish and III East-European Meeting on Ferroelectrics Physics, Lviv, Ukraine, September 4-7, 2006, Lviv, 2006, P. 109.
- I.V.Pylyuk, M.P.Kozlovskii, "Three-dimensional Ising-like system in an external field: Free energy of the $\rho^6$ model as function of temperature and field", Abstr. of the 4th International Conference "PHYSICS OF LIQUID MATTER: MODERN PROBLEMS", Kyiv, Ukraine, May 23-26, 2008, Kyiv, 2008, P. 120.
- I.V.Pylyuk, M.P.Kozlovskii, "A method for the calculation of the free energy of three-dimensional uniaxial magnet in an external field on the basis of the higher non-Gaussian distribution", Progr. and Abstr. of the 3-rd Conference "Statistical Physics: Modern Trends and Applications", Lviv, Ukraine, 23-25 June 2009, Lviv, 2009, P. 205.
- I.R.Yukhnovskii, M.P.Kozlovskii, I.V.Pylyuk, "Method of calculating the free energy of a 3D Ising-like system taking into account the correction for the interaction potential averaging", Progr. and Abstr. of the 36-th Conference of the Middle European Cooperation in Statistical Physics (MECO 36), Lviv, Ukraine, 5-7 April 2011, Lviv, 2011, P. 142.
- I.V.Pylyuk, M.V.Ulyak, "Critical behaviour of a 3D Ising-like system in the $\rho^6$ model approximation: Role of the correction for the potential averaging", Progr. and Abstr. of the 4th Conference "Statistical Physics: Modern Trends and Applications", Lviv, Ukraine, 3-6 July 2012, Lviv, 2012, P. 170.
- O.A.Dobush, M.P.Kozlovskii, I.V.Pylyuk, "The equation of state in the supercritical region and the Widom line of a fluid model", Abstr. of the 8th International Conference "PHYSICS OF LIQUID MATTER: MODERN PROBLEMS", Kyiv, Ukraine, May 18-22, 2018, Kyiv, 2018, P. 150.
- O.A.Dobush, M.P.Kozlovskii, I.V.Pylyuk, "The equation of state of a simple fluid in the supercritical region", Abstr. of Contrib. of the 18th Workshop and Award for young researchers, Inst. Cond. Matt. Phys., Nat. Acad. Sci. Ukr., Lviv, June 7-8, 2018, Lviv, 2018, P. 29.
- I.V.Pylyuk, M.P.Kozlovskii, O.A.Dobush, "Critical behavior of a supercritical cell fluid", Progr. and Abstr. of the 5th Conference "Statistical Physics: Modern Trends and Applications", Lviv, Ukraine, 3-6 July 2019, Lviv, 2019, P. 100.

**PREPRINTS**

- M.P.Kozlovsky, I.V.Pylyuk, V.A.Kolomiets, "The numerical investigation of the partition function of the Ising three-dimensional model using the sixfold basis distribution", Preprint ITP-84-177R, Inst. Theor. Phys., Acad. Sci. Ukr. SSR, Kiev, 1984, 41 p.
- M.P.Kozlovsky, I.V.Pylyuk, "Free energy and other thermodynamical functions above the second-order phase transition point", Preprint ITP-85-23E, Inst. Theor. Phys., Acad. Sci. Ukr. SSR, Kiev, 1985, 48 p.
- M.P.Kozlovsky, J.M.Ilnytsky, I.V.Pylyuk, "Free energy and other thermodynamical functions of the three-dimensional Ising model below the phase transition point", Preprint ITP-85-107R, Inst. Theor. Phys., Acad. Sci. Ukr. SSR, Kiev, 1985, 33 p.
- M.P.Kozlovsky, I.V.Pylyuk, "Calculation of thermodynamic functions near phase transition point in six-fold basis measure approximation", Preprint ITP-87-9R, Inst. Theor. Phys., Acad. Sci. Ukr. SSR, Kiev, 1987, 29 p.
- I.V.Pylyuk, M.P.Kozlovsky, "A study of the Ising model with the use of non-Gaussian basis measures", Preprint ITP-87-31R, Inst. Theor. Phys., Acad. Sci. Ukr. SSR, Kiev, 1987, 28 p.
- I.R.Yukhnovskii, M.P.Kozlovsky, I.V.Pylyuk, "Correction for the potential averaging in the sequential method of the partition function calculation for the one-component spin system near Tc", Preprint ITP-88-105R, Inst. Theor. Phys., Acad. Sci. Ukr. SSR, Kiev, 1988, 43 p.
- I.V.Pylyuk, "The critical behaviour of the 3D one-component spin system in the collective variables method with the complication of the basis measure", Preprint ITP-88-107R, Inst. Theor. Phys., Acad. Sci. Ukr. SSR, Kiev, 1988, 33 p.
- M.P.Kozlovskii, I.V.Pylyuk, "Calculation of the corrections to scaling for the thermodynamical functions of the Ising model", Preprint ITP-89-24R, Inst. Theor. Phys., Acad. Sci. Ukr. SSR, Kiev, 1989, 29 p.
- M.P.Kozlovskii, I.V.Pylyuk, "Comparison of the expressions for the thermodynamical functions of the Ising model at the temperatures higher and lower than the critical one in the three-dimensional space", Preprint ITP-89-42R, Inst. Theor. Phys., Acad. Sci. Ukr. SSR, Kiev, 1989, 35 p.
- I.V.Pylyuk, "Thermodynamic functions of the 3D Ising ferromagnet in the vicinity of phase transition point with the first and second confluent corrections", Preprint ITP-90-12R, Inst. Theor. Phys., Acad. Sci. Ukr. SSR, Kiev, 1990, 40 p.
- M.P.Kozlovskii, I.V.Pylyuk, "Thermodynamics of the three-dimensional Ising ferromagnet in the vicinity of the phase transition point in the frames of $\rho^6$ model. Comparison with $\rho^4$ model", Preprint ITP-90-81R, Inst. Theor. Phys., Acad. Sci. Ukr. SSR, Kiev, 1990, 53 p.
- I.V.Pylyuk, "Calculation of thermodynamic functions of the three-dimensional Ising model and the investigation of their dependence on the microscopic parameters of the system", Abstr. of Thesis ... Candidate of Phys. Math. Sci., Lviv, 1991, 19 p.
- M.P.Kozlovskii, I.V.Pylyuk, Z.E.Usatenko, "The method for calculation of the critical temperature of three-dimensional Ising-like system using the non-Gaussian distribution", Preprint ICMP-93-21U, Inst. Cond. Matt. Phys., Acad. Sci. Ukr., Lviv, 1994, 29 p.
- I.V.Pylyuk, M.P.Kozlovskii, "Thermodynamic characteristics of the 3D Ising system in $\rho^6$ model approximation taking into account the confluent correction. I. High-temperature region", Preprint ICMP-97-06U, Inst. Cond. Matt. Phys., Nat. Acad. Sci. Ukr., Lviv, 1997, 34 p.
- I.V.Pylyuk, M.P.Kozlovskii, "Thermodynamic characteristics of the 3D Ising system in $\rho^6$ model approximation taking into account the confluent correction. II. Low-temperature region", Preprint ICMP-97-07U, Inst. Cond. Matt. Phys., Nat. Acad. Sci. Ukr., Lviv, 1997, 32 p.
- M.P.Kozlovskii, I.V.Pylyuk, V.V.Dukhovii, "Calculation method for the three-dimensional Ising ferromagnet thermodynamics within the frames of $\rho^6$ model", Preprint cond-mat/9907468, 1999, 41 p.
- I.V.Pylyuk, M.P.Kozlovskii, "3D Ising system in an external field. Recurrence relations for the asymmetric $\rho^6$ model", Preprint cond-mat/0108123, 2001, 12 p.
- M.V.Tokarchuk, I.V.Pylyuk, M.P.Kozlovskii, N.A.Korynevskii, O.O.Prytula, "The radiation defect formation and the vacancy swelling of the lava-like fuel-containing materials", Preprint ICMP-02-23U, Inst. Cond. Matt. Phys., Nat. Acad. Sci. Ukr., Lviv, 2002, 23 p.
- M.P.Kozlovskii, I.V.Pylyuk, O.O.Prytula, "Behaviour of a three-dimensional magnet near the critical point in the presence of an external field", Preprint ICMP-03-21U, Inst. Cond. Matt. Phys., Nat. Acad. Sci. Ukr., Lviv, 2003, 42 p.
- M.P.Kozlovskii, I.V.Pylyuk, O.O.Prytula, "Thermodynamic
functions of a one-component model of a magnet at T>T
_{c}in the presence of an external field", Preprint ICMP-04-03U, Inst. Cond. Matt. Phys., Nat. Acad. Sci. Ukr., Lviv, 2004, 32 p. - M.P.Kozlovskii, I.V.Pylyuk, O.O.Prytula, "Thermodynamic
functions of a one-component model of a magnet at T<T
_{c}in the presence of an external field", Preprint ICMP-04-06U, Inst. Cond. Matt. Phys., Nat. Acad. Sci. Ukr., Lviv, 2004, 33 p. - M.P.Kozlovskii, I.V.Pylyuk, O.O.Prytula, "Free energy and equation of state of Ising-like magnet near the critical point", Preprint hep-th/0609105, 2006, 12 p.
- I.M.Mryglod, I.V.Pylyuk, "Modern state and processes of changing the fuel-containing materials properties in the "Shelter" object under the influence of external factors and internal self-irradiation", Preprint ICMP-06-14U, Inst. Cond. Matt. Phys., Nat. Acad. Sci. Ukr., Lviv, 2006, 31 p.
- I.V.Pylyuk, "Three-dimensional Ising-like system in an external field: Microscopic calculation of the free energy in the higher non-Gaussian approximation", Preprint arXiv: 0711.3156 [cond-mat.stat-mech], 2007, 9 p.
- I.V.Pylyuk, M.P.Kozlovskii, "Method of calculating the free energy of three-dimensional Ising-like system in an external field with the use of the $\rho^6$ model", Preprint arXiv: 0812.1955 [cond-mat.stat-mech], 2008, 23 p.
- I.V.Pylyuk, "Microscopic description of the critical behaviour of three-dimensional Ising-like systems using the non-Gaussian fluctuation distributions", Abstr. of Thesis ... Doctor of Sciences in Physics and Mathematics, Lviv, 2009, 35 p.
- I.V.Pylyuk, M.V.Ulyak, "Critical behaviour of a 3D Ising-like system in the $\rho^6$ model approximation: Role of the correction for the potential averaging", Preprint arXiv: 1212.6139 [cond-mat.stat-mech], 2012, 10 p.
- I.V.Pylyuk, "Order parameter of a three-dimensional Ising-like system in the simplest and higher non-Gaussian approximations", Preprint arXiv: 1307.2011 [cond-mat.stat-mech], 2013, 9 p.
- M.P.Kozlovskii, O.A.Dobush, I.V.Pylyuk, "Using a cell fluid model for description of a phase transition in simple liquid alkali metals", Preprint arXiv: 1708.08308 [cond-mat.stat-mech], 2017, 11 p.
- M.P.Kozlovskii, I.V.Pylyuk, O.A.Dobush, "The equation of state of a cell fluid model in the supercritical region", Preprint arXiv: 1712.07164 [cond-mat.stat-mech], 2018, 26 p.
- I.V.Pylyuk, M.P.Kozlovskii, O.A.Dobush, "The equation of state of a cell fluid model in the region below the critical temperature", Preprint ICMP-19-01U, Inst. Cond. Matt. Phys., Nat. Acad. Sci. Ukr., Lviv, 2019, 24 p.
- I.V.Pylyuk, "Fluid critical behavior at liquid-gas phase transition: Analytic method for microscopic description", Preprint arXiv: 2002.11149 [cond-mat.stat-mech], 2020, 37 p.
- I.V.Pylyuk, O.A.Dobush, "Equation of state of a cell fluid model with allowance for Gaussian fluctuations of the order parameter", Preprint arXiv: 2006.16881 [cond-mat.stat-mech], 2020, 10 p.

**LAST UPDATE January 16, 2021**