Ferreira Silvio C, Ferreira Ronan S, Pastor-Satorras Romualdo
Departamento de Física, Universidade Federal de Viçosa, 36571-000 Viçosa, MG, Brazil.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jun;83(6 Pt 2):066113. doi: 10.1103/PhysRevE.83.066113. Epub 2011 Jun 20.
We present an analysis of the quasistationary (QS) state of the contact process (CP) on annealed scale-free networks using a mapping of the CP dynamics in a one-step process and analyzing numerically and analytically the corresponding master equation. The relevant QS quantities determined via the master equation exhibit an excellent agreement with direct QS stochastic simulations of the CP. The high accuracy of the resulting data allows a probe of the strong corrections to scaling present in both the critical and supercritical regions, corrections that mask the correct finite-size scaling obtained analytically by applying an exact heterogeneous mean-field approach. Our results represent a promising starting point for a deeper understanding of the contact process and absorbing phase transitions on real (quenched) complex networks.
我们使用一步过程中接触过程（CP）动力学的映射，并通过数值和解析方法分析相应的主方程，对退火无标度网络上接触过程（CP）的准静态（QS）状态进行了分析。通过主方程确定的相关QS量与CP的直接QS随机模拟结果显示出极好的一致性。所得数据的高精度使得能够探究临界和超临界区域中存在的对标度的强修正，这些修正掩盖了通过应用精确的非均匀平均场方法解析得到的正确有限尺寸标度。我们的结果为更深入理解实际（淬火）复杂网络上的接触过程和吸收相变提供了一个有前景的起点。
