Zero-range process with long-range interactions at a T-junction
arXiv:0706.0733 · doi:10.1088/1751-8113/40/43/001
Abstract
A generalized zero-range process with a limited number of long-range interactions is studied as an example of a transport process in which particles at a T-junction make a choice of which branch to take based on traffic levels on each branch. The system is analysed with a self-consistent mean-field approximation which allows phase diagrams to be constructed. Agreement between the analysis and simulations is found to be very good.
21 pages, 6 figures
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