### Speaker

Ms
Sarlota Birnsteinova
(Slovak)

### Description

Critical behaviour of directed bond percolation is studied in presence of an advective velocity field [1,2]. The velocity field is modeled by Kraichnan ensemble [3]: time-decorrelated compressible Gaussian velocity field. The model is studied by means of field-theoretic approach. Renormalization group (RG) method is used in order to analyse asymptotic large-scale behaviour of the model near its critical point and to calculate perturbatively all fixed RG points and critical exponents in the framework of double-expansion scheme [4,5]. We classified possible asymptotic regimes corresponding to infrared stable fixed points of the RG equations which have been calculated up to the two-loop approximation.

### Short biography note

[1] H.-K. Janssen and U. C. Täuber, Ann. Phys., 315, 147-192 (2004)

[2] N. V. Antonov and A. S. Kapustin, J. Phys A, 43, 405001 (2010)

[3] N. V. Antonov, Phys. D, 144, 370-386 (2000)

[4] M. Hnatič, J. Honkonen, T. Lučivjanský: Advanced field – theoretical methods in stochastic dynamics and theory of developed Turbulence, Acta Physica Slovaca 66, No.2, 69 – 264 (2016)(review article)

[5] A. N. Vasilev, The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics, Chapman and Hall/CRC, Boca Raton, Fla. (2004)

### Primary author

Ms
Sarlota Birnsteinova
(Slovak)

### Co-authors

Mr
Lukas Mizisin
(Pavol Josef Safarik University in Kosice)
Prof.
Michal Hnatic
(Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, Russia)
Dr
Tomas Lucivjansky
(Faculty of Science, P. J. Šafarik University, Slovakia)