First-order phase transition in a majority-vote model with inertia

Physical Review. E
Hanshuang ChenJürgen Kurths

Abstract

We generalize the original majority-vote model by incorporating 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 or second-order type to a discontinuous or first-order 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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Citations

Jun 9, 2018·Scientific Reports·André L M Vilela, H Eugene Stanley
Jun 25, 2020·Physical Review. E·Bartłomiej Nowak, Katarzyna Sznajd-Weron
Sep 3, 2017·Chaos·Hanshuang ChenJürgen Kurths
Jul 18, 2018·Physical Review. E·Hanshuang Chen, Guofeng Li
Jan 20, 2018·Physical Review. E·Pedro E HarunariC E Fiore
Sep 11, 2019·Physical Review. E·C E Fernández NoaC E Fiore
Jul 18, 2018·Physical Review. E·Marcelo M de OliveiraCarlos E Fiore
Jan 21, 2021·Physical Review. E·Hanshuang ChenGinestra Bianconi
May 23, 2019·Entropy·Angelika AbramiukKatarzyna Sznajd-Weron
Mar 19, 2021·Scientific Reports·Bartłomiej NowakKatarzyna Sznajd-Weron
Apr 18, 2021·Physical Review. E·Jesus M Encinas, C E Fiore
Sep 8, 2021·Scientific Reports·Angelika Abramiuk-SzurlejKatarzyna Sznajd-Weron

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