含可动杂质复杂网络上的异质形核
Heterogeneous nucleation on complex networks with mobile impurities
摘要：
研究了杂质在非平衡条件下进行受参数α控制的偏度运动时，复杂网络上伊辛模型的异质形核问题.通过对成核团簇的前向通量采样和详细分析，发现对于少量杂质，成核速率与α呈非单调关系，在α=0时成核速率最大，对应于度无关的随机运动.此外，我们证明了不同的杂质运动的偏好，这可能是用来理解的共振依赖的杂质的运动偏置的成核率沿路径的成核团簇的不同功能。我们的理论分析表明，杂质的非平衡扩散总是可以诱导一个正的能量通量，可以促进跨势垒成核过程。能流平均值随α的非单调性可能是我们模拟结果的根源。
英文摘要：
We study the heterogeneous nucleation of Ising model on complex networks under a non-equilibrium situation where the impurities perform degree-biased motion controlled by a parameter α. Through the forward flux sampling and detailed analysis on the nucleating clusters, we find that the nucleation rate shows a nonmonotonic dependence on αfor small number of impurities, in which a maximal nucleation rate occurs at α=0 corresponding to the degree-uncorrelated random motion. Furthermore, we demonstrate the distinct features of the nucleating clusters along the pathway for different preference of impurities motion, which may be used to understand the resonance-like dependence of nucleation rate on the motion bias of impurities. Our theoretical analysis shows that the nonequilibrium diffusion of impurities can always induce a positive energy flux that can facilitate the barrier-crossing nucleation process. The nonmonotonic feature of the average value of the energy flux with αmay be the origin of our simulation results.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
