Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-12-15
EPL 90 (2010) 16003
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
10.1209/0295-5075/90/16003
We study the effect of advection and noise on the field theory for directed percolation (DP). We show that even a very small advective velocity is enough to change the universality class of the dynamic phase transition. When the noise is taken to be proportional to the square root of the population density, we find an additional nonequilibrium 'spinodal' line separating a region where an exponentially decreasing density is metastable, from another one in which it is unstable. If the noise is instead linear in the density, the phase diagram changes dramatically both quantitatively and qualitatively, and the spinodal line becomes a true phase boundary. We briefly discuss possible applications of our results to microbial sedimentation and population dynamics in rivers.
Barrett-Freeman C.
Evans Martin R.
Marenduzzo Davide
Tailleur Julien
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