Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-05-10
Physics
Condensed Matter
Statistical Mechanics
16 pages, 7 figures
Scientific paper
10.1088/1742-5468/2005/07/P07010
Totally asymmetric simple exclusion processes on lattices with junctions, where particles interact with hard-core exclusion and move on parallel lattice branches that at the junction combine into a single lattice segment, are investigated. A simple approximate theory, that treats the correlations around the junction position in a mean-field fashion, is developed in order to calculate stationary particle currents, density profiles and a phase diagram. It is shown that there are three possible stationary phases depending on the state of each of the lattice branch. At first-order phase boundaries, where the density correlations are important, a modified phenomenological domain-wall theory, that accounts for correlations, is introduced. Extensive Monte Carlo computer simulations are performed to investigate the system, and it is found that they are in excellent agreement with theoretical predictions.
Kolomeisky Anatoly B.
Pronina Ekaterina
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