Candia Julián
Consortium of the Americas for Interdisciplinary Science and Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Feb;75(2 Pt 2):026110. doi: 10.1103/PhysRevE.75.026110. Epub 2007 Feb 28.
We study the dynamical and critical behavior of a model for irreversible opinion spreading on Barabási-Albert (BA) scale-free networks by performing extensive Monte Carlo simulations. The opinion spreading within an inhomogeneous society is investigated by means of the magnetic Eden model, a nonequilibrium kinetic model for the growth of binary mixtures in contact with a thermal bath. The deposition dynamics, which is studied as a function of the degree of the occupied sites, shows evidence for the leading role played by hubs in the growth process. Systems of finite size grow either ordered or disordered, depending on the temperature. By means of standard finite-size scaling procedures, the effective order-disorder phase transitions are found to persist in the thermodynamic limit. This critical behavior, however, is absent in related equilibrium spin systems such as the Ising model on BA scale-free networks, which in the thermodynamic limit only displays a ferromagnetic phase. The dependence of these results on the degree exponent is also discussed for the case of uncorrelated scale-free networks.
我们通过进行大量的蒙特卡罗模拟，研究了在巴拉巴西 - 阿尔伯特（BA）无标度网络上不可逆意见传播模型的动力学和临界行为。通过磁伊登模型研究了非均匀社会中的意见传播，磁伊登模型是一种用于与热浴接触的二元混合物生长的非平衡动力学模型。作为占据位点度数的函数进行研究的沉积动力学，显示了中心节点在生长过程中起主导作用的证据。有限大小的系统根据温度有序或无序地生长。通过标准的有限尺寸标度程序，发现在热力学极限下有效有序 - 无序相变仍然存在。然而，在相关的平衡自旋系统中，如BA无标度网络上的伊辛模型，这种临界行为并不存在，该模型在热力学极限下仅显示铁磁相。对于不相关的无标度网络的情况，还讨论了这些结果对度数指数的依赖性。
