Critical Behaviour of Directed Percolation Process in The Presence of Compressible Velocity Field (Master's defence rehearsal)
Thursday 18 May 2017
to 14:00 at
Viktor Škultéty (Stockholm University)
Various systems exhibit universal behavior at the critical point. A typical example of the non-equilibrium critical behavior is the directed bond percolation that exhibits an active-to-absorbing state phase transition in the vicinity of critical percolation probability. An interesting question is how the turbulent mixing influences its critical behavior. In this work we assume that the turbulent mixing is generated by the compressible Navier-Stokes equation where the compressibility is described by an additional field related to the density. Using field-theoretic models and perturbative renormalization group methods we investigate large scale and long time behaviour.