The paper proposes a model which helps to investigate the competitive aspect of real networks in quantitative terms. Through theoretical analysis and numerical simulations, it shows that the competitive model has the ...The paper proposes a model which helps to investigate the competitive aspect of real networks in quantitative terms. Through theoretical analysis and numerical simulations, it shows that the competitive model has the universality for a weighted network. The relation between parameters in the weighted network and the competitiveness in the competitive network is obtained by theoretical analysis. Based on the expression of the degree distribution of the competitive network, the strength and degree distributions of the weighted network can be calculated. The analytical solution reveals that the degree distribution of the weighted network is correlated with the increment and initial value of edge weights, which is verified by numerical simulations. Moreover, the evolving pattern of a clustering coefficient along with network parameters such as the size of a network, an updating coefficient, an initial weight and the competitiveness are obtained by further simulations.展开更多
The competition between attraction and diffusion determines the kinetics of non-equilibrium aggregation process.The formation of silver nanoclusters through non-equilibrium aggregation of silver atoms in solution was ...The competition between attraction and diffusion determines the kinetics of non-equilibrium aggregation process.The formation of silver nanoclusters through non-equilibrium aggregation of silver atoms in solution was simulated by molecular dynamics as a model system to study the influence of the competition between attraction and diffusion on the aggregation process by varying concentration and temperature.It has been found that the aggregation time decreases monotonically with increasing concentration of silver atoms because of increasing attraction,while initially decreasing and then increasing with increasing temperature because of the competition between accelerated attractive motion and increasing diffusive motion of silver atoms.A mean field approximation was employed to develop a phenomenological model describing the mechanism of temperature dependence of aggregation time.展开更多
基金supported by the National Natural Science Foundation of China under Grant No.70871082the Hujiang Foundation of China under Grant No.A14006the Shanghai First-Class Academic Discipline Project under Grant No.S1201YLXK
文摘The paper proposes a model which helps to investigate the competitive aspect of real networks in quantitative terms. Through theoretical analysis and numerical simulations, it shows that the competitive model has the universality for a weighted network. The relation between parameters in the weighted network and the competitiveness in the competitive network is obtained by theoretical analysis. Based on the expression of the degree distribution of the competitive network, the strength and degree distributions of the weighted network can be calculated. The analytical solution reveals that the degree distribution of the weighted network is correlated with the increment and initial value of edge weights, which is verified by numerical simulations. Moreover, the evolving pattern of a clustering coefficient along with network parameters such as the size of a network, an updating coefficient, an initial weight and the competitiveness are obtained by further simulations.
基金supported by the National Natural Science Foundation of China(Grant Nos.10974208 and 11121403)the Program of "One Hundred Talented People" of the Chinese Academy of Sciences
文摘The competition between attraction and diffusion determines the kinetics of non-equilibrium aggregation process.The formation of silver nanoclusters through non-equilibrium aggregation of silver atoms in solution was simulated by molecular dynamics as a model system to study the influence of the competition between attraction and diffusion on the aggregation process by varying concentration and temperature.It has been found that the aggregation time decreases monotonically with increasing concentration of silver atoms because of increasing attraction,while initially decreasing and then increasing with increasing temperature because of the competition between accelerated attractive motion and increasing diffusive motion of silver atoms.A mean field approximation was employed to develop a phenomenological model describing the mechanism of temperature dependence of aggregation time.
