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

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Published 9 October 2007 2007 IOP Publishing Ltd
, , Citation A G Angel et al 2007 J. Phys. A: Math. Theor. 40 12811 DOI 10.1088/1751-8113/40/43/001

1751-8121/40/43/12811

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.

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10.1088/1751-8113/40/43/001