Biswas Soham, Sen Parongama
Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700 009, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Dec;84(6 Pt 2):066107. doi: 10.1103/PhysRevE.84.066107. Epub 2011 Dec 13.
Randomness is known to affect the dynamical behavior of many systems to a large extent. In this paper we investigate how the nature of randomness affects the dynamics in a zero-temperature quench of the Ising model on two types of random networks. In both networks, which are embedded in a one-dimensional space, the first-neighbor connections exist and the average degree is 4 per node. In random model A the second-neighbor connections are rewired with a probability p, while in random model B additional connections between neighbors at a Euclidean distance l(l > 1) are introduced with a probability P(l) proportionally l(-α). We find that for both models, the dynamics leads to freezing such that the system gets locked in a disordered state. The point at which the disorder of the nonequilibrium steady state is maximum is located. The behavior of dynamical quantities such as residual energy, order parameter, and persistence are discussed and compared. Overall, the behavior of physical quantities are similar, although subtle differences are observed due to the difference in the nature of randomness.
众所周知，随机性在很大程度上会影响许多系统的动力学行为。在本文中，我们研究了随机性的本质如何影响两种随机网络上伊辛模型在零温度猝灭时的动力学。在这两种嵌入一维空间的网络中，都存在最近邻连接，且每个节点的平均度为4。在随机模型A中，次近邻连接以概率p重新布线，而在随机模型B中，以与l^(-α)成比例的概率P(l)引入欧几里得距离为l（l>1）的邻居之间的额外连接。我们发现，对于这两种模型，动力学都会导致冻结，使得系统锁定在无序状态。确定了非平衡稳态无序度最大的点。讨论并比较了诸如剩余能量、序参量和持久性等动力学量的行为。总体而言，物理量的行为相似，尽管由于随机性本质的差异观察到了细微的差别。
