Publications

Peer-review
  1. M. Hnatič, G. Kalagov, T. Lučivjanský: Scaling behavior in interacting systems: joint effect of anisotropy and compressibility, Eur. Phys. J. B forthcoming (2018). PDF
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. M. Hnatič, J. Honkonen, T. Lučivjanský: Effect of Compressibility on the Annihilation Process, Theor. Math. Phys. 176(1), (2013) 50-59. PDF
  16. 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
  17. M. Hnatič, J. Honkonen, T. Lučivjanský: Field Theoretic Technique for Irreversible Reaction Processes, Physics of Particles and Nuclei 44, (2013) 316–348. PDF
  18. 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
  19. 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
  20. 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
  21. 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