时效诱导连续相变
Aging-induced continuous phase transition
摘要：
老化被认为是一个系统中的元素随着年龄的增长而不太容易改变状态的属性。我们将老龄化到嘈杂的选民模型，一个随机模型，其中代理修改其二进制状态的噪声和成对的相互作用。有趣的是，由于老化的系统从有序（铁磁）和无序（顺磁）相之间的有限尺寸的不连续过渡到第二阶相变，以及定义在热力学极限，属于伊辛普适性类。我们通过寻找一组无限的平均场方程的稳态解来分析它的特征。在低维格子和复杂网络中进行了大量的数值模拟测试的理论预测。最后，我们利用老化性质来理解对称性在相变中的破坏。
英文摘要：
Aging is considered as the property of the elements of a system to be less prone to change states as they get older. We incorporate aging into the noisy voter model, a stochastic model in which the agents modify their binary state by means of noise and pair-wise interactions. Interestingly, due to aging the system passes from a finite-size discontinuous transition between ordered (ferromagnetic) and disordered (paramagnetic) phases to a second order phase transition, well defined in the thermodynamic limit, belonging to the Ising universality class. We characterize it analytically by finding the stationary solution of an infinite set of mean field equations. The theoretical predictions are tested with extensive numerical simulations in low dimensional lattices and complex networks. We finally employ the aging properties to understand the symmetries broken in the phase transition.
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