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arXiv · 1808.05113

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

Prabodh Shukla
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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.

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BibTeXRIS

Prabodh Shukla. 2018-09-18. Hysteresis in the zero-temperature random field Ising model on directed random graphs. https://doi.org/10.1103/physreve.98.032144

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