40 research outputs found
Scaling of hysteresis loops at phase transitions into a quasiabsorbing state
Models undergoing a phase transition to an absorbing state weakly broken by
the addition of a very low spontaneous nucleation rate are shown to exhibit
hysteresis loops whose width depends algebraically on the ramp
rate . Analytical arguments and numerical simulations show that
with , where is
the critical exponent governing the survival probability of a seed near
threshold. These results explain similar hysteresis scaling observed before in
liquid crystal convection experiments. This phenomenon is conjectured to occur
in a variety of other experimental systems.Comment: 4 pages, 4 figures, 1 tabl