惯性多数表决模型中的爆炸相变
Explosive Phase Transition in a Majority-Vote Model with Inertia
摘要：
我们将惯性纳入自旋翻转的微观动力学，其中任何个人的自旋翻转概率不仅取决于其邻居的状态，而且还取决于自己的状态，从而推广了原来的多数票模型。令人惊讶的是，当惯性大于一定值时，有序-无序相变由通常的连续型转变为不连续型或爆发型。这种爆炸性转变的中心特征是随着噪声强度的前进和后退而具有强滞后行为。在滞后区内，无序相和两个对称有序相共存，这些阶段之间的过渡率的数值计算的稀有事件采样方法。平均场论被发展来解析地揭示这种相变的性质。
英文摘要：
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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