一维混合接触过程中的稳态相变
Steady-state phase transition in one-dimensional hybrid contact process
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中文总结 AI 辅助
该研究针对一维混合接触过程，采用平均场近似分析其稳态相，发现存在吸收相、活性相及双稳区域，利用鞍结分岔与相干异常方法揭示相变类型并提取临界参数。
中文摘要 AI 辅助
我们研究一维混合接触过程中的稳态相变，基于有效场实现单位点与团簇平均场近似，给出系统所有可能的稳态。结果表明，长时间极限下存在稳定的吸收相、活性相及双稳区域；在吸收相与双稳区域的边界观测到鞍结分岔，对应不连续相变，而吸收相到活性相的相变是连续的；为表征连续相变的非经典标度行为，我们通过相干异常方法提取真实临界点与临界指数。
英文摘要
We investigate the steady-state phase transition in a one-dimensional hybrid contact process. We implement the single-site and cluster mean-field approximations based on the effective fields and present all the possible steady states of the system. We show the existence of the stable absorbing and active phases, and the bistable region in the long-time limit. The saddle-node bifurcation is observed at the boundary between the absorbing phase and the bistable region, suggesting a discontinuous phase transition. While the absorbing to active phase transition is continuous. To characterize the nonclassical scaling behavior of the continuous phase transition, we extract the true critical points and exponents by means of the coherent anomaly method.
