Zero-range process with long-range interactions at a T-junction

Details Zero-range process with long-range interactions at a T-junction Zero-range process with long-range interactions at a T-junction

2007-06-05

arxiv.org/abs/0706.0733v1

J. Phys. A: Math. Theor. 40 No 43 (26 October 2007) 12811-12828

Physics

Condensed Matter

Statistical Mechanics

21 pages, 6 figures

Scientific paper

10.1088/1751-8113/40/43/001

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.

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