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From Random Walker to Vehicular Traffic: Motion on a Circle
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Material Science.
Institute of Physics, Rostock University.
Institute of Mathematics and Computer Science, University of Latvia, University of Latvia.
2015 (English)In: Traffic and Granular Flow '13 / [ed] Mohcine Chraibi ; Maik Boltes; Andreas Schadschneider; Armin Seyfried, Cham: Encyclopedia of Global Archaeology/Springer Verlag, 2015, Vol. 2, 347-359 p.Conference paper (Refereed)
Abstract [en]

Driving of cars on a highway is a complex process which can be described by deterministic and stochastic forces. It leads to equations of motion with asymmetric interaction and dissipation as well as to new energy flow law already presented at previous TRAFFIC AND GRANULAR FLOW meetings. Here we consider a model, where motion of an asymmetric random walker on a ring with periodic boundary conditions takes place. It is related to driven systems with active particles, energy input and depot. This simple model can be further developed towards more complicated ones, describing vehicular or pedestrian traffic. Three particular cases are considered, starting with discrete coordinate and time, then making time continuous and, finally, considering a drift–diffusion equation in a continuum limit.

Place, publisher, year, edition, pages
Cham: Encyclopedia of Global Archaeology/Springer Verlag, 2015. Vol. 2, 347-359 p.
Research subject
Tillämpad fysik
URN: urn:nbn:se:ltu:diva-34384DOI: 10.1007/978-3-319-10629-8_40Local ID: 8903d10f-7cf4-466d-b69f-2effc9ad8ef9ISBN: 978-3-319-10628-1ISBN: 978-3-319-10629-8 (PDF)OAI: diva2:1007635
Conference on Traffic and Granular Flow : 25/09/2013 - 27/09/2013
Validerad; 2016; Nivå 1; 20150115 (andbra)Available from: 2016-09-30 Created: 2016-09-30Bibliographically approved

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