标题： 接触过程在退火尺度自由网络上的准稳态分析 显示英文标题

标题： Quasi-stationary analysis of the contact process on annealed scale-free networks

摘要： 我们使用接触过程（CP）在退火尺度无网络上的映射为一个一步过程，并通过数值和分析方法研究相应的主方程，对接触过程的准稳态（QS）状态进行了分析。 通过主方程确定的相关QS量与直接的QS随机模拟结果有非常好的一致性。 所得数据的高准确性使得能够探测临界和超临界区域中存在的强烈标度修正，这些修正掩盖了通过应用精确的异质平均场方法得到的正确有限尺寸标度。 我们的结果代表了一个有前途的起点，以更深入地理解接触过程以及在真实（淬火）复杂网络上的吸收相变。 显示英文摘要

摘要： We present an analysis of the quasi-stationary (QS) state of the contact process (CP) on annealed scale-free networks using a mapping of the CP dynamics in a one-step processes 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 to probe 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