Synchronizability of complex oscillators networks has attracted much research interest in recent years. In contrast, in this paper we investigate numerically the synchronization speed, rather than the synchronizabilit...Synchronizability of complex oscillators networks has attracted much research interest in recent years. In contrast, in this paper we investigate numerically the synchronization speed, rather than the synchronizability or synchronization stability, of identical oscillators on complex networks with communities. A new weighted community network model is employed here, in which the community strength could be tunable by one parameter δ. The results showed that the synchronization speed of identical oscillators on community networks could reach a maximal value when δ is around 0.1. We argue that this is induced by the competition between the community partition and the scale-free property of the networks. Moreover, we have given the corresponding analysis through the second least eigenvalue λ2 of the Laplacian matrix of the network which supports the previous result that the synchronization speed is determined by the value of λ2.展开更多
The accurate and rapid prediction of materials’physical properties,such as thermal transport and mechanical properties,are of particular importance for potential applications of featuring novel materials.We demonstra...The accurate and rapid prediction of materials’physical properties,such as thermal transport and mechanical properties,are of particular importance for potential applications of featuring novel materials.We demonstrate,using graphene as an example,how machine learning potential,combined with the Boltzmann transport equation and molecular dynamics simulations,can simultaneously provide an accurate prediction of multiple-target physical properties,with an accuracy comparable to that of density functional theory calculation and/or experimental measurements.Benchmarked quantities include the Grüneisen parameter,the thermal expansion coefficient,Young’s modulus,Poisson’s ratio,and thermal conductivity.Moreover,the transferability of commonly used empirical potential in predicting multiple-target physical properties is also examined.Our study suggests that atomic simulation,in conjunction with machine learning potential,represents a promising method of exploring the various physical properties of novel materials.展开更多
基金Supported by the National 0utstanding Young Investigator Foundation of China under Grant No 70225005, the National Natural Science Foundation of China under Grant No 70471088.
基金Project supported by the National Natural Science Foundation of China (Grant No 70671097)
文摘Synchronizability of complex oscillators networks has attracted much research interest in recent years. In contrast, in this paper we investigate numerically the synchronization speed, rather than the synchronizability or synchronization stability, of identical oscillators on complex networks with communities. A new weighted community network model is employed here, in which the community strength could be tunable by one parameter δ. The results showed that the synchronization speed of identical oscillators on community networks could reach a maximal value when δ is around 0.1. We argue that this is induced by the competition between the community partition and the scale-free property of the networks. Moreover, we have given the corresponding analysis through the second least eigenvalue λ2 of the Laplacian matrix of the network which supports the previous result that the synchronization speed is determined by the value of λ2.
基金the National Natural Science Foundation of China(Grant Nos.12075168 and 11890703)the Science and Technology Commission of Shanghai Municipality(Grant Nos.19ZR1478600,18ZR1442000 and 18JC1410900)+1 种基金the Fundamental Research Funds for the Central Universities(Grant No.22120200069)the Open Fund of Hunan Provincial Key Laboratory of Advanced Materials for New Energy Storage and Conversion(Grant No.2018TP1037_201901)。
文摘The accurate and rapid prediction of materials’physical properties,such as thermal transport and mechanical properties,are of particular importance for potential applications of featuring novel materials.We demonstrate,using graphene as an example,how machine learning potential,combined with the Boltzmann transport equation and molecular dynamics simulations,can simultaneously provide an accurate prediction of multiple-target physical properties,with an accuracy comparable to that of density functional theory calculation and/or experimental measurements.Benchmarked quantities include the Grüneisen parameter,the thermal expansion coefficient,Young’s modulus,Poisson’s ratio,and thermal conductivity.Moreover,the transferability of commonly used empirical potential in predicting multiple-target physical properties is also examined.Our study suggests that atomic simulation,in conjunction with machine learning potential,represents a promising method of exploring the various physical properties of novel materials.
