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Published on: September 4, 2015
Phase diagrams of the Katz-Lebowitz-Spohn process on lattices with a junction
Bo Tian1, Rui Jiang, Zhong-Jun Ding
1School of Engineering Science, University of Science and Technology of China, Hefei 230026, China.
Abstract:
This paper studies the Katz-Lebowitz-Spohn (KLS) process on lattices with a junction, where particles move on parallel lattice branches that combine into a single lattice at the junction. It is shown that 11 kinds of phase diagrams could be observed, depending on the two parameters ε and δ in the KLS process. We have investigated the phase diagrams as well as bulk density analytically based on flow rate conservation and the extremal current principle. Extensive Monte Carlo computer simulations are performed, and it is found that they are in excellent agreement with theoretical prediction.
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