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 have z = 3. Numerical simulations as well as probabilistic methods are used to show the existence of critical hysteresis for all values of . This extends earlier results for c = 0 and c = 1 to the entire range , and provides new insight in non-equilibrium critical phenomena. Our analysis shows that a spanning avalanche can occur on a lattice even in the absence of a spanning cluster of z = 4 sites.
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