A node model is proposed to study the self-organized criticality in the small-world networks which represent the social networks.Based on the node model and the social balance dynamics,the social networks are mapped t...A node model is proposed to study the self-organized criticality in the small-world networks which represent the social networks.Based on the node model and the social balance dynamics,the social networks are mapped to the thermodynamic systems and the phenomena are studied with physical methods.It is found that the avalanche in the small-world networks at the critical state satisfies the power-law distribution spatially and temporally.展开更多
A new spin flipping mechanism at zero-temperature is proposed based on a node model.In a two-dimensional square lattice,at the zero-temperature,the spin flipping depends on both itself and the surroundings,while the i...A new spin flipping mechanism at zero-temperature is proposed based on a node model.In a two-dimensional square lattice,at the zero-temperature,the spin flipping depends on both itself and the surroundings,while the influence from the surroundings is embodied by an adjustable parameter.With the parameter adjusting,a first order phase transition is observed.展开更多
We study the traffic of particles on complex networks under constraints.The constraints we propose are the different interactions between particles and the limited capability of node holding particles.We give the gran...We study the traffic of particles on complex networks under constraints.The constraints we propose are the different interactions between particles and the limited capability of node holding particles.We give the grand partition function of the system and find the distributions of particles at the dynamically balanced point.Then,we investigate the internal relations among the theories of classical statistics,quantum statistics and the zero range process.Finally,we find the finite temperature of Bose–Einstein condensation.Numerical results verify our theoretical expectations.展开更多
文摘A node model is proposed to study the self-organized criticality in the small-world networks which represent the social networks.Based on the node model and the social balance dynamics,the social networks are mapped to the thermodynamic systems and the phenomena are studied with physical methods.It is found that the avalanche in the small-world networks at the critical state satisfies the power-law distribution spatially and temporally.
文摘A new spin flipping mechanism at zero-temperature is proposed based on a node model.In a two-dimensional square lattice,at the zero-temperature,the spin flipping depends on both itself and the surroundings,while the influence from the surroundings is embodied by an adjustable parameter.With the parameter adjusting,a first order phase transition is observed.
基金by the National Natural Science Foundation of China under Grant No 10875012the Fundamental Research Funds for the Central Universities.
文摘We study the traffic of particles on complex networks under constraints.The constraints we propose are the different interactions between particles and the limited capability of node holding particles.We give the grand partition function of the system and find the distributions of particles at the dynamically balanced point.Then,we investigate the internal relations among the theories of classical statistics,quantum statistics and the zero range process.Finally,we find the finite temperature of Bose–Einstein condensation.Numerical results verify our theoretical expectations.
