Phys. Rev. E 77, 030103(R) (2008) [4 pages]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 Δλ depends algebraically on the ramp rate r. Analytical arguments and numerical simulations show that Δλ∼rκ with κ=1∕(β′+1), where β′ 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.77.030103
DOI:
10.1103/PhysRevE.77.030103
PACS:
05.70.Jk, 05.70.Ln, 05.20.−y
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