Research interests are concentrated in studies of
in particular, ferromagnetic and ferroelectric ordering, liquid-gas critical point, phase separation in binary mixtures, surface critical phenomena, orientational ordering in liquid crystals, quantum phase transitions in low-dimensional systems, superconductivity, critical behaviour of polymers and polymer mixtures.
The methods applied include
Main fields of activity:
General background and of the collective variables (CV) method. Development of the CV method in the theory of phase transitions (Ihor Yukhnovskii).
Critical behaviour of the three-dimensional Ising model in the frames of the CV method by using the self-consistent approach (Mykhailo Kozlovskii). Study of the critical properties of one-component spin system with the use of the higher non-Gaussian fluctuation distributions, calculation of contributions of the confluent corrections to the thermodynamic characteristics of the 3D Ising system (Ihor Pylyuk), analysis of the dependence of thermodynamic functions near the phase transition point on the microscopic parameters of the Ising-like system (Ihor Yukhnovskii, Mykhailo Kozlovskii, Ihor Pylyuk), derivation of the equation of state for the 3D Ising model (Mykhailo Kozlovskii, Ihor Pylyuk, Volodymyr Dukhovyi). Investigation of the critical behaviour of the classical n-vector model and classical Heisenberg antiferromagnet in three dimensions (Mykhailo Kozlovskii, Zoriana Usatenko).
First principles study of the thermodynamic and structural properties of multicomponent continuous systems with emphasis on phase transitions and critical phenomena (Oksana Patsahan).
Field theoretical renormalization group approach in the study of critical phenomena in models with anisotropic effective Hamiltonians. Main applications of the study include: explanation of the influence of magnetic field fluctuations on the transition to the superconducting state; calculation of the exponents characterizing scaling features of polymers of complex topology; quantitative theory of copolymer networks and description of diffusion near the polymer absorber on this basis; study of the influence of disorder on a ferromagnetic phase transition (Yurij Holovatch).
Field theoretical studies of the surface critical phenomena
in semi-infinite systems:
- massive field theory for ordinary and special transitions in three dimensions,
- calculations of correlation functions at the extraordinary transition.
Investigation of the critical behavior of self-avoiding membranes
(Mykola Shpot).
Investigation of the critical behaviour of semi-infinite diluted systems
in fixed dimensions d<4 in the framework of the massive field theory
(Mykola Shpot,
Zoriana Usatenko).
Computer simulations of the phase transitions taking place in liquid crystalline systems. Monte Carlo study of the nematic-isotropic transition in lattice models (including bulk diluted case and restricted geometry case). Monte Carlo study of the Gay-Berne model of liquid crystal (the model with anisotropic version of the Lennard-Jones interaction potential) close to surfaces and in the quenched porous media (Jaroslav Ilnytskyi).
Last update 24 Dec 1998.