Scaling of hysteresis loops at phase transitions into a quasiabsorbing state

Details Scaling of hysteresis loops at phase transitions into a quasiabsorbing state Scaling of hysteresis loops at phase transitions into a quasiabsorbing state

2007-06-28

arxiv.org/abs/0706.4152v2

Phys. Rev. E 77, 030103(R) (2008)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, 1 table

Scientific paper

10.1103/PhysRevE.77.030103

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 $\Delta\lambda$ depends algebraically on the ramp rate $r$. Analytical arguments and numerical simulations show that $\Delta\lambda \sim r^{\kappa}$ with $\kappa = 1/(\beta'+1)$, where $\beta'$ 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.

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