The dynamics of zero-range processes on complex networks is expected to be influenced by the topological structure of underlying networks.A real space complete condensation phase transition in the stationary state may...The dynamics of zero-range processes on complex networks is expected to be influenced by the topological structure of underlying networks.A real space complete condensation phase transition in the stationary state may occur.We study the finite density effects of the condensation transition in both the stationary and dynamical zero-range processes on scale-free networks.By means of grand canonical ensemble method,we predict analytically the scaling laws of the average occupation number with respect to the finite density for the steady state.We further explore the relaxation dynamics of the condensation phase transition.By applying the hierarchical evolution and scaling ansatz,a scaling law for the relaxation dynamics is predicted.Monte Carlo simulations are performed and the predicted density scaling laws are nicely validated.展开更多
Plasma scale height is an important parameter of topside ionosphere and contains information about ionospheric physics and dynamic. We investigated the seasonal features of vertical scale height with the electron dens...Plasma scale height is an important parameter of topside ionosphere and contains information about ionospheric physics and dynamic. We investigated the seasonal features of vertical scale height with the electron density profiles from COSMIC. We found that vertical scale height around 660 km at middle latitudes generally has larger values in winter than in summer and had similar structures at March Equinox and September Equinox no matter daytime or nighttime. Bands of large vertical scale height appear at night around ±36° magnetic latitude in all seasons except summer for low solar activity, and mostly appear in winter for moderate solar activity. Vertical scale height in the middle latitudes generally has smaller values for moderate solar activity than that for low solar activity around 660 km, and has smaller values in the daytime than at night.展开更多
基金the National Natural Science Foundation of China(Grant No.11505115).
文摘The dynamics of zero-range processes on complex networks is expected to be influenced by the topological structure of underlying networks.A real space complete condensation phase transition in the stationary state may occur.We study the finite density effects of the condensation transition in both the stationary and dynamical zero-range processes on scale-free networks.By means of grand canonical ensemble method,we predict analytically the scaling laws of the average occupation number with respect to the finite density for the steady state.We further explore the relaxation dynamics of the condensation phase transition.By applying the hierarchical evolution and scaling ansatz,a scaling law for the relaxation dynamics is predicted.Monte Carlo simulations are performed and the predicted density scaling laws are nicely validated.
基金supported by the National Natural Science Foundation of China (41204107)the Director Foundation of the Institute of Seismology, China Earthquake Administration (IS201506219 and IS201626256)
文摘Plasma scale height is an important parameter of topside ionosphere and contains information about ionospheric physics and dynamic. We investigated the seasonal features of vertical scale height with the electron density profiles from COSMIC. We found that vertical scale height around 660 km at middle latitudes generally has larger values in winter than in summer and had similar structures at March Equinox and September Equinox no matter daytime or nighttime. Bands of large vertical scale height appear at night around ±36° magnetic latitude in all seasons except summer for low solar activity, and mostly appear in winter for moderate solar activity. Vertical scale height in the middle latitudes generally has smaller values for moderate solar activity than that for low solar activity around 660 km, and has smaller values in the daytime than at night.
