TY - JOUR
T1 - The role of noise and advection in absorbing state phase transitions
AU - Barrett-Freeman, C.
AU - Evans, M. R.
AU - Marenduzzo, D.
AU - Tailleur, J.
PY - 2010/4
Y1 - 2010/4
N2 - 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. Copyright (C) EPLA, 2010
AB - 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. Copyright (C) EPLA, 2010
KW - BRANCHING RANDOM-WALK
KW - MULTIPLICATIVE NOISE
KW - SYSTEMS
U2 - 10.1209/0295-5075/90/16003
DO - 10.1209/0295-5075/90/16003
M3 - Article
VL - 90
SP - -
JO - Europhysics Letters
T2 - Europhysics Letters
JF - Europhysics Letters
SN - 0295-5075
IS - 1
M1 - 16003
ER -