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Título:
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Theoretical approach to 2-dimensional traffic flow models
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Autores:
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Molera, Juan M. ;
Martínez, Froilán C. ;
Cuesta, José A. ;
Brito, Ricardo
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Tipo de documento:
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texto impreso
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Fecha de publicación:
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1995-01
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Termodinámica
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Tipo = Artículo
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Resumen:
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In this paper we present a theoretical analysis of a recently proposed two-dimensional cellular automata model for traffic flow in cities with the ingredient of a turning capability. Numerical simulations of this model show that there is a transition between a freely moving phase with high velocity to a jammed state with low velocity. We study the dynamics of such a model, starting with the microscopic evolution equation, which will serve as a basis for further analysis. It is shown that a kinetic approach, based on the Boltzmann assumption, is able to provide a reasonably good
description of the jamming transition. We further introduce a space-time continuous phenomenological model, leading to two partial differential equations whose preliminary results agree rather well with the numerical simulations.
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En línea:
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https://eprints.ucm.es/id/eprint/22077/1/Brito30.pdf
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