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 Deltalambda depends algebraically on the ramp rate r . Analytical arguments and numerical simulations show that Deltalambda approximately 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.
Takeuchi
Kazumasa A
KA
Department of Physics, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-0033, Japan. kazumasa@daisy.phys.s.u-tokyo.ac.jp