Critical behavior of direct percolation process in the presence of compressible velocity field
by
Viktor Škultéty(Nordita)
→
Europe/Stockholm
Description
Various systems exhibit universal behavior at the critical point. A typical example of the non-equilibrium critical behavior is the direct bond percolation (DP) 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 renormalization group methods we investigade large scale and long time behavior.