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Synchronous totally asymmetric exclusion process with a dual-input-single-output junction

Song Xiao, Shuying Wu, Dongsheng Zheng
2011 Journal of Research in Physics  
Synchronous totally asymmetric exclusion process with a dual-input-single-output junction In this paper, the dynamics of the synchronous totally asymmetric exclusion process (TASEP) with a two-input-single-output (TISO) junction was investigated, which consists of two subchains for the input and one main chain for the output. A TISO junction is a type of complex geometry that is relevant to vehicular and pedestrian traffic flow. A mean-field approach is developed to deal with the junction that
more » ... the junction that connects the subchains and the main chain. Theoretical results for stationary particle currents, density profiles, and a phase diagram have been obtained. It was found that the region of the HD/HD phase increases in the phase diagram with an increase of the hopping rates of subchains. The density profiles obtained from computer simulations show very good agreement with our theoretical analysis.
doi:10.2478/v10242-012-0007-x fatcat:u7b3bsmtfbhjhc2nkbrffrnjnu