BML model on non-orientable surfaces

Daniel Hugo Cámpora Pérez; Jaime de la Torre; Juan Carlos García Vázquez; Fernando Sancho Caparrini

doi:10.1016/J.PHYSA.2010.03.037

BML model on non-orientable surfaces

Daniel Hugo Cámpora Pérez, Jaime de la Torre, Juan Carlos García Vázquez^*, Fernando Sancho Caparrini

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

Two-dimensional Biham–Middleton–Levine traffic model on a N×N square lattice embedded on a Klein bottle and a projective plane is investigated by computer simulations. The behavior of the model with these boundary conditions is compared with the model under toroidal boundary conditions. Our numerical results show that the phase diagram depends strongly on the underlying topology. We also investigate the influence of the ratio between the number of red and blue particles has over the speed of the system and conclude that the projective plane case differs considerably from the other cases reviewed here.

Original language	English
Pages (from-to)	3290-3298
Number of pages	9
Journal	Physica A: Statistical Mechanics and its Applications
Volume	389
Issue number	16
DOIs	https://doi.org/10.1016/J.PHYSA.2010.03.037
Publication status	Published - 1 Aug 2010
Externally published	Yes

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https://www.sciencedirect.com/science/article/pii/S0378437110002827

Cite this

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title = "BML model on non-orientable surfaces",

abstract = "Two-dimensional Biham–Middleton–Levine traffic model on a N×N square lattice embedded on a Klein bottle and a projective plane is investigated by computer simulations. The behavior of the model with these boundary conditions is compared with the model under toroidal boundary conditions. Our numerical results show that the phase diagram depends strongly on the underlying topology. We also investigate the influence of the ratio between the number of red and blue particles has over the speed of the system and conclude that the projective plane case differs considerably from the other cases reviewed here.",

author = "{C{\'a}mpora P{\'e}rez}, {Daniel Hugo} and {de la Torre}, Jaime and {Garc{\'i}a V{\'a}zquez}, {Juan Carlos} and Caparrini, {Fernando Sancho}",

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doi = "10.1016/J.PHYSA.2010.03.037",

language = "English",

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journal = "Physica A: Statistical Mechanics and its Applications",

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AU - Cámpora Pérez, Daniel Hugo

AU - de la Torre, Jaime

AU - García Vázquez, Juan Carlos

AU - Caparrini, Fernando Sancho

PY - 2010/8/1

Y1 - 2010/8/1

N2 - Two-dimensional Biham–Middleton–Levine traffic model on a N×N square lattice embedded on a Klein bottle and a projective plane is investigated by computer simulations. The behavior of the model with these boundary conditions is compared with the model under toroidal boundary conditions. Our numerical results show that the phase diagram depends strongly on the underlying topology. We also investigate the influence of the ratio between the number of red and blue particles has over the speed of the system and conclude that the projective plane case differs considerably from the other cases reviewed here.

AB - Two-dimensional Biham–Middleton–Levine traffic model on a N×N square lattice embedded on a Klein bottle and a projective plane is investigated by computer simulations. The behavior of the model with these boundary conditions is compared with the model under toroidal boundary conditions. Our numerical results show that the phase diagram depends strongly on the underlying topology. We also investigate the influence of the ratio between the number of red and blue particles has over the speed of the system and conclude that the projective plane case differs considerably from the other cases reviewed here.

U2 - 10.1016/J.PHYSA.2010.03.037

DO - 10.1016/J.PHYSA.2010.03.037

M3 - Article

VL - 389

SP - 3290

EP - 3298

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

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