Multicritical Behaviours in One-Dimensional Traffic Flow

Details Multicritical Behaviours in One-Dimensional Traffic Flow Multicritical Behaviours in One-Dimensional Traffic Flow

2006-06-30

arxiv.org/abs/cond-mat/0606803v1

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

The effect of the on-ramp and off-ramp positions $i_1$ and $i_2$, respectively, on the one dimensional-cellular automaton traffic flow behaviour, is investigated numerically. The on-ramp and off-ramp rates at $i_1$ and $i_2$ are $\alpha_0$ and $\beta_0$, respectively. However, in the open boundary conditions, with injecting and extracting rates $\alpha$ and $\beta$ and using parallel dynamics, several phases occur, depending on the position of $i_1$ by respect to $i_2$. Namely, low density phase (LDP), intermediate density phase (IDP), plateau current phase (PCP) and high density phase (HDP). Furthermore, critical, tricritical and multicritical behaviours take place in the $(i_1,\alpha_0)$ phase diagrams.

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