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arXiv · 1609.00469

Explosive Phase Transition in a Majority-Vote Model with Inertia

Hanshuang Chen·Chuansheng Shen·Haifeng Zhang·Guofeng Li·Zhonghuai Hou·Jürgen Kurths
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Abstract

We generalize the original majority-vote model by incorporating an inertia into the microscopic dynamics of the spin flipping, where the spin-flip probability of any individual depends not only on the states of its neighbors, but also on its own state. Surprisingly, the order-disorder phase transition is changed from a usual continuous type to a discontinuous or an explosive one when the inertia is above an appropriate level. A central feature of such an explosive transition is a strong hysteresis behavior as noise intensity goes forward and backward. Within the hysteresis region, a disordered phase and two symmetric ordered phases are coexisting and transition rates between these phases are numerically calculated by a rare-event sampling method. A mean-field theory is developed to analytically reveal the property of this phase transition.

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Hanshuang Chen, Chuansheng Shen, Haifeng Zhang, Guofeng Li, Zhonghuai Hou, Jürgen Kurths. 2016-09-02. Explosive Phase Transition in a Majority-Vote Model with Inertia. https://doi.org/10.1103/physreve.97.062304

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