Hysteresis in the zero-temperature random field Ising model on directed random graphs

Abstract

We use zero-temperature Glauber dynamics to study hysteresis in the random-field Ising model on directed random graphs. The critical behavior of the model depends on the connectivity $z$ of the graph rather differently from that on undirected graphs. Directed graphs and zero-temperature dynamics are relevant to a wide class of social phenomena including opinion dynamics. We discuss the efficacy of increasing external influence in inducing a first-order phase transition in opinion dynamics. The numerical results are supported by an analytic solution of the model.

refereed version, to appear in Physical Review E

References in corpus (3)

• Hysteresis in Random-field Ising model on a Bethe lattice with a mixed coordination number
• Statistical Mechanics of Avalanches
• Stable, metastable and unstable states in the mean-field RFIM at T=0

Cited by in corpus (4)

• Finite-size scaling of the random-field Ising model above the upper critical dimension
• Critical hysteresis on dilute triangular lattice
• Spectral and Strength Statistics of Chiral Brownian Ensemble
• Hysteresis and return point memory in the random field Blume Capel model