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Multicritical Behaviours in One-Dimensional Traffic Flow | Abdelaziz Mhirech
; Hamid Ez-Zahraouy
; Assia Alaoui Ismaili
; PostScript
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; | Date: |
30 Jun 2006 | Subject: | Other | Abstract: | 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 $eta_0$, respectively. However, in the open boundary conditions, with injecting and extracting rates $alpha$ and $eta$ 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. | Source: | arXiv, cond-mat/0606803 | Services: | Forum | Review | PDF | Favorites |
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