Chen Hanshuang, Shen Chuansheng, Zhang Haifeng, Li Guofeng, Hou Zhonghuai, Kurths Jürgen
School of Physics and Materials Science, Anhui University, Hefei 230601, China.
Department of Physics, Humboldt University, 12489 Berlin, Germany.
Phys Rev E. 2017 Apr;95(4-1):042304. doi: 10.1103/PhysRevE.95.042304. Epub 2017 Apr 10.
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.
我们通过将惯性纳入自旋翻转的微观动力学来推广原始的多数投票模型，其中任何个体的自旋翻转概率不仅取决于其邻居的状态，还取决于其自身状态。令人惊讶的是，当惯性高于适当水平时，有序-无序相变从通常的连续或二阶类型转变为不连续或一阶类型。这种爆发性转变的一个核心特征是随着噪声强度向前和向后变化时出现强烈的滞后行为。在滞后区域内，一个无序相和两个对称的有序相共存，并且通过稀有事件采样方法对这些相之间的转变速率进行了数值计算。我们发展了一种平均场理论来解析揭示这种相变的性质。
