Nowak Bartłomiej, Sznajd-Weron Katarzyna
Department of Theoretical Physics, Wrocław University of Science and Technology, 50-370 Wrocław, Poland.
Phys Rev E. 2022 Jul;106(1-1):014125. doi: 10.1103/PhysRevE.106.014125.
Discontinuous phase transitions are particularly interesting from a social point of view because of their relationship to social hysteresis and critical mass. In this paper, we show that the replacement of a time-varying (annealed, situation-based) disorder by a static (quenched, personality-based) one can lead to a change from a continuous to a discontinuous phase transition. This is a result beyond the state of the art, because so far numerous studies on various complex systems (physical, biological, and social) have indicated that the quenched disorder can round or destroy the existence of a discontinuous phase transition. To show the possibility of the opposite behavior, we study a multistate q-voter model, with two types of disorder related to random competing interactions (conformity and anticonformity). We confirm, both analytically and through Monte Carlo simulations, that indeed discontinuous phase transitions can be induced by a static disorder.
从社会角度来看，不连续相变因其与社会滞后和临界质量的关系而格外引人关注。在本文中，我们表明，用静态（淬火的、基于个性的）无序取代时变（退火的、基于情境的）无序会导致从连续相变转变为不连续相变。这一结果超出了当前的技术水平，因为迄今为止，对各种复杂系统（物理、生物和社会）的大量研究表明，淬火无序会使不连续相变变得圆滑或破坏其存在。为了展示相反行为的可能性，我们研究了一个多态q-投票者模型，其中存在与随机竞争相互作用（从众和反从众）相关的两种类型的无序。我们通过解析和蒙特卡罗模拟均证实，静态无序确实能够诱发不连续相变。
