The interplay of diffusion and heterogeneity in nucleation of the networked Ising model  

作　　者：Chuansheng Shen Hanshuang Chen 

机构地区：[1]School of Mathematics and Physics,Anqing Normal University,Anqing 246011,China [2]School of Physics and Optoelectronics and Engineering,Anhui University,Hefei 230601,China

出　　处：《Communications in Theoretical Physics》2021年第11期150-156,共7页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grants No.11975025 and 11875069);funded by the Key Laboratory of Modeling,Simulation and Control of Complex Ecosystem in Dabie Mountains of Anhui Higher Education Institutes;the International Joint Research Center of Simulation and Control for Population Ecology of Yangtze River in Anhui。

摘　　要：Nucleation underlies the dynamics of most first-order phase transitions in natural and man-made systems.However,most of the systems of interest are out of equilibrium.Little is known on the effect of nonequilibrium factors on the dynamics of nucleation.Here,we use the forward flux sampling method to investigate the effect of nonequilibrium diffusion on nucleation in small-world Ising networks,wherein spins can be exchanged between nearest-neighboring nodes.We introduce a parameterαto quantify the difference of nucleation rate with and without diffusion.We find thatαshows a nonmonotonic dependence on the rewiring probability p of small-world networks.In particular,for different diffusion probability D,a crossover happens at p■0.17,below which the nucleation rate decreases as D increases,suggesting that the diffusion is against nucleation;while above which the nucleation rate increases with D,indicating that the diffusion is in favor of nucleation.By identifying the distinct features of nucleating clusters along the pathways for different randomness of networks,we reveal the underlying mechanism of such a nontrivial dependence.

关 键 词：complex networks phase transitions NUCLEATION NONEQUILIBRIUM 

分 类 号：O157.5[理学—数学]