Hysteresis in Random-field Ising model on a Bethe lattice with a mixed coordination number

Abstract

We study zero-temperature hysteresis in the random-field Ising model on a Bethe lattice where a fraction $c$ of the sites have coordination number $z=4$ while the remaining fraction $1-c$ have $z=3$. Numerical simulations as well as probabilistic methods are used to show the existence of critical hysteresis for all values of $c>0$. This extends earlier results for $c=0$ and $c=1$ to the entire range $0\le c\le 1$, and provides new insight in non-equilibrium critical phenomena.

8 pages, 7 figures

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• The effects of external noise on threshold induced correlations in ferromagnetic systems
• Understanding jump discontinuity in disordered system