SCALING OF MESSAGE DIFFUSION IN DIRECTED DYNAMICAL SMALL-WORLD NETWORKS WITH RANDOM RESPONSES
A dynamical model of small-world network (SWN), with directed links which describe a sort of correlations in social, economic and natural phenomena, is pre-sented. Spatial disorder is introduced to yield random responses to input messages in sites of the network, which results in collective dynamical evolution of a spin-like variable S(t) of the whole network. In such dynamically varied SWNs, average spreading length (L) s and average spreading time T)B are found to scale, in p~alnN with indices 0.14 and 0.29, respectively. Meanwhile, isoparametic time t(S) behaves in another scaling law, t ~p~3/(S), where f(S) is a universal func-tion and 0 = 0.23 ± 0.005 for N > N*. Possible applications of the model in different fields are discussed.
CHEN-PING ZHU SHI-JIE XIONG YING-JIE TIAN NAN LI KE-SHENG JIANG
Department of Applied Physics, Nanjing University of Aeronautics and Astronautics,Nanjing, 210016, C National Laboratory of Solid State Micro-structures and Department of Physics,Nanjing University, Na College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210
国际会议
The Joint Conference of ICCP6 and CCP2003(第6届国际计算伦理会议)
北京
英文
393-399
2004-05-23（万方平台首次上网日期，不代表论文的发表时间）