Publications

Peer-review
  1. V. Škultéty, Š. Birnšteinová, T. Lučivjanský, J. Honkonen: Universality in Incompressible Active Fluid: Effect of Non-local Shear Stress, Phys. Rev. E 102 , 032616 (2020). PDF
  2. M. Dančo, M. Hnatič, T. Lučivjanský, L. Mižišin: Renormalization group study of superfluid phase transition: effect of compressibility Phys. Rev E 102 , 022118 (2020). PDF
  3. A. Bobák, T. Lučivjanský, M. Žukovič: Magnetism of the diluted Ising antiferromagnet in a magnetic field on the Kagome lattice: single-spin cluster approximation, Acta Physica Polonica A 137 (5), 628 (2020). PDF
  4. M. Hnatič, J. Honkonen, T. Lučivjanský: Symmetry breaking in stochastic dynamics and turbulence, Symmetry 11 (10), 1193 (2019). PDF
  5. M. Hnatič, Š. Birnšteinová, T. Lučivjanský, V. Škultéty: Passive advection of percolation process: Two-loop approximation, Theor. Math. Phys. 200 , 1335 (2019). PDF
  6. N. V. Antonov, N. M. Gulitskiy, M. M. Kostenko, T. Lučivjanský: Advection by Compressible Turbulent Flows: Renormalization Group Study of Vector and Tracer Admixture, Theor. Math. Phys. 200 , 1294 (2019). PDF
  7. M. Hnatič, G. Kalagov, T. Lučivjanský: Scaling behavior in interacting systems: joint effect of anisotropy and compressibility, Eur. Phys. J. B forthcoming (2018). PDF
  8. J. Honkonen, T. Lučivjanský, V. Škultéty: Influence of turbulent mixing on critical behavior of directed percolation process : effect of compressibility, Phys. Rev. E 97 , 022123 (2018). PDF
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. M. Hnatič, J. Honkonen, T. Lučivjanský: Effect of Compressibility on the Annihilation Process, Theor. Math. Phys. 176(1), (2013) 50-59. PDF
  22. 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
  23. M. Hnatič, J. Honkonen, T. Lučivjanský: Field Theoretic Technique for Irreversible Reaction Processes, Physics of Particles and Nuclei 44, (2013) 316–348. PDF
  24. 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
  25. 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
  26. 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
  27. 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