Publications
Peer-review
- J. Honkonen, T. Lučivjanský, V. Škultéty: Influence of turbulent mixing on critical behavior of directed percolation process : effect of compressibility, Phys. Rev. E forthcoming (2018). PDF
- N. V. Antonov, M. Hnatič, A. S. Kapustin, T. Lučivjanský, L. Mižišin: Active-to-Absorbing Phase Transition Subjected to the Velocity Fluctuations in the Frozen Limit Case, Physics of Elementary Particles and Atomic Nuclei Letters 14 (6), 944 (2017). PDF
- M. Dančo, M. Hnatič, M. V. Komarova, T. Lučivjanský, M. Yu. Nalimov: Renormalization group calculation of dynamic exponent in the models E and F with hydrodynamic fluctuations, Acta Physica Polonica A 131(4), 651 (2017). PDF
- A. Bobák, T. Lučivjanský, M. Žukovič, M. Borovský, T. Balcerzak: Theoretical Study of the Frustrated Ising Antiferromagnet on the Honeycomb Lattice, Acta Physica Polonica A 131(4), 636 (2017). PDF
- N. V. Antonov, N. M. Gulitskiy, M. M. Kostenko, T. Lučivjanský: Turbulent compressible fluid“ renormalization group analysis, scaling regimes, and anomalous scaling of advected scalar fields, Phys. Rev. E 95, 033120 (2017). PDF
- N. V. Antonov, M. Hnatič, A. S. Kapustin, T. Lučivjanský, L. Mižišin: Gribov process advected by the synthetic compressible velocity ensemble: Renormalization Group Approach, Theor. Math. Phys. 190(3), (2017) 323-334. PDF
- M. Hnatič, J. Honkonen, T. Lučivjanský: Advanced field-theoretical methods in stochastic dynamics and theory of developed turbulence, Acta Physica Slovaca 66(2), 69 – 264 (2016). PDF
- A. Bobák, T. Lučivjanský, M. Borovský, M. Žukovič, T. Balcerzak: Tricritical behaviour of the frustrated Ising antiferromagnet on the honeycomb lattice, Physics Letters A 380, (2016) 2693. PDF
- N. V. Antonov, M. Hnatič, A. S. Kapustin, T. Lučivjanský, L. Mižišin : Directed percolation process in the presence of velocity fluctuations: Effect of compressibility and finite correlation time, Phys. Rev. E 93, (2016) 012151. PDF
- M. Dančo, M. Hnatich, M. V. Komarova, D. M. Krasnov, T. Lučivjanský, L. Mižišin, M. Yu. Nalimov: Superfluid Phase Transition with Activated Velocity Fluctuations: Renormalization Group Approach, Phys. Rev E 93, (2016) 012109. PDF
- A. Bobák, T. Lučivjanský, M. Borovský, M. Žukovič: Phase transitions in a frustrated Ising antiferromagnet on a square lattice, Phys. Rev. E 91, (2015) 032145. PDF
- M. Dančo, M. Hnatič, T. Lučivjanský, L. Mižišin: Critical Behavior of Percolation Process Influenced by Random Velocity Field: One–Loop Approximation, Theor. Math. Phys. 176(1), (2013) 79-88. PDF
- M. Dančo, M. Hnatich, M. V. Komarova, D. M. Krasnov, T. Lučivjanský, L. Mižišin, M. Yu. Nalimov: Influence of Hydrodynamic Fluctuations on Phase Transition in Models E and F of Critical Dynamics, Theor. Math. Phys. 176(1), (2013) 69-78. PDF
- M. Hnatič, J. Honkonen, T. Lučivjanský: Effect of Compressibility on the Annihilation Process, Theor. Math. Phys. 176(1), (2013) 50-59. PDF
- M. Hnatič, J. Honkonen, T. Lučivjanský: Two-loop Calculation of Anomalous Kinetics of the Reaction A + A → ∅ in Randomly Stirred Fluid, Eur. Phys. J. B 86, (2013) 214. PDF
- M. Hnatič, J. Honkonen, T. Lučivjanský: Field Theoretic Technique for Irreversible Reaction Processes, Physics of Particles and Nuclei 44, (2013) 316–348. PDF
- M. Hnatič, J. Honkonen, T. Lučivjanský: On the Mathematical Modelling of the Annihilation Process, Lecture Notes in Computer Science 7125, Springer-Verlag (2012), 154-159. PDF
- M. Hnatič, J. Honkonen, T. Lučivjanský: Field Theory Approach in Kinetic Reaction: Role of Random Sources and Sinks, Theor. Math. Phys. 169(1), (2011) 1489-1498. PDF
- M. Hnatič, J. Honkonen, T. Lučivjanský: Study of Anomalous Kinetics of the Annihilation Reaction A + A → ∅, Theor. Math. Phys. 169(1), (2011) 1481-1488. PDF
- L. Čanová, J. Strečka, T. Lučivjanský: Exact Solution of Mixed Spin-1/2 and Spin-S Ising- Heisenberg Diamond Chain, Condens. Matter Phys. 12, (2009) 353. PDF